Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.4% → 39.0%

Time: 2.0min

Alternatives: 47

Speedup: 4.5×

• 89.2% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Initial Program: 30.4% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 39.0% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\\ t_2 := z \cdot t - x \cdot y\\ t_3 := k \cdot y2 - j \cdot y3\\ t_4 := x \cdot y2 - z \cdot y3\\ t_5 := x \cdot j - z \cdot k\\ t_6 := a \cdot y5 - c \cdot y4\\ t_7 := c \cdot \left(i \cdot t_2 + \left(y0 \cdot t_4 + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ t_8 := j \cdot y3 - k \cdot y2\\ t_9 := y0 \cdot \left(c \cdot t_4 + \left(y5 \cdot t_8 - b \cdot t_5\right)\right)\\ t_10 := \left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot t_6 - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_8\right)\\ \mathbf{if}\;y1 \leq -4.2 \cdot 10^{+204}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot t_3\right)\\ \mathbf{elif}\;y1 \leq -2.7 \cdot 10^{+88}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -15500000000:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y1 \leq -1.02 \cdot 10^{-54}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -2 \cdot 10^{-71}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{-102}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t_6\right)\right)\\ \mathbf{elif}\;y1 \leq -1.36 \cdot 10^{-160}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t_2\\ \mathbf{elif}\;y1 \leq -6 \cdot 10^{-215}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y1 \leq -5.2 \cdot 10^{-269}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y1 \leq 2.1 \cdot 10^{-175}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y1 \leq 1.9 \cdot 10^{-79}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y1 \leq 1.25 \cdot 10^{+29}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y1 \leq 1.5 \cdot 10^{+159}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + t_1\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 1.1 \cdot 10^{+187}:\\ \;\;\;\;x \cdot t_1\\ \mathbf{elif}\;y1 \leq 6.8 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot t_3 + \left(i \cdot t_5 + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y2 (- (* c y0) (* a y1))))
        (t_2 (- (* z t) (* x y)))
        (t_3 (- (* k y2) (* j y3)))
        (t_4 (- (* x y2) (* z y3)))
        (t_5 (- (* x j) (* z k)))
        (t_6 (- (* a y5) (* c y4)))
        (t_7 (* c (+ (* i t_2) (+ (* y0 t_4) (* y4 (- (* y y3) (* t y2)))))))
        (t_8 (- (* j y3) (* k y2)))
        (t_9 (* y0 (+ (* c t_4) (- (* y5 t_8) (* b t_5)))))
        (t_10
         (+
          (* (* i y5) (- (* y k) (* t j)))
          (- (* (- (* t y2) (* y y3)) t_6) (* (- (* y1 y4) (* y0 y5)) t_8)))))
   (if (<= y1 -4.2e+204)
     (* y4 (* y1 t_3))
     (if (<= y1 -2.7e+88)
       (* j (* i (- (* x y1) (* t y5))))
       (if (<= y1 -15500000000.0)
         t_7
         (if (<= y1 -1.02e-54)
           (* z (* b (- (* k y0) (* t a))))
           (if (<= y1 -2e-71)
             t_10
             (if (<= y1 -4.6e-102)
               (*
                t
                (+
                 (* z (- (* c i) (* a b)))
                 (+ (* j (- (* b y4) (* i y5))) (* y2 t_6))))
               (if (<= y1 -1.36e-160)
                 (* (* c i) t_2)
                 (if (<= y1 -6e-215)
                   t_10
                   (if (<= y1 -5.2e-269)
                     t_9
                     (if (<= y1 2.1e-175)
                       t_7
                       (if (<= y1 1.9e-79)
                         t_9
                         (if (<= y1 1.25e+29)
                           t_7
                           (if (<= y1 1.5e+159)
                             (*
                              x
                              (+
                               (+ (* y (- (* a b) (* c i))) t_1)
                               (* j (- (* i y1) (* b y0)))))
                             (if (<= y1 1.1e+187)
                               (* x t_1)
                               (if (<= y1 6.8e+191)
                                 (* j (* y5 (- (* y0 y3) (* t i))))
                                 (*
                                  y1
                                  (+
                                   (* y4 t_3)
                                   (+
                                    (* i t_5)
                                    (*
                                     a
                                     (- (* z y3) (* x y2)))))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((c * y0) - (a * y1));
	double t_2 = (z * t) - (x * y);
	double t_3 = (k * y2) - (j * y3);
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (x * j) - (z * k);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = c * ((i * t_2) + ((y0 * t_4) + (y4 * ((y * y3) - (t * y2)))));
	double t_8 = (j * y3) - (k * y2);
	double t_9 = y0 * ((c * t_4) + ((y5 * t_8) - (b * t_5)));
	double t_10 = ((i * y5) * ((y * k) - (t * j))) + ((((t * y2) - (y * y3)) * t_6) - (((y1 * y4) - (y0 * y5)) * t_8));
	double tmp;
	if (y1 <= -4.2e+204) {
		tmp = y4 * (y1 * t_3);
	} else if (y1 <= -2.7e+88) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y1 <= -15500000000.0) {
		tmp = t_7;
	} else if (y1 <= -1.02e-54) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else if (y1 <= -2e-71) {
		tmp = t_10;
	} else if (y1 <= -4.6e-102) {
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_6)));
	} else if (y1 <= -1.36e-160) {
		tmp = (c * i) * t_2;
	} else if (y1 <= -6e-215) {
		tmp = t_10;
	} else if (y1 <= -5.2e-269) {
		tmp = t_9;
	} else if (y1 <= 2.1e-175) {
		tmp = t_7;
	} else if (y1 <= 1.9e-79) {
		tmp = t_9;
	} else if (y1 <= 1.25e+29) {
		tmp = t_7;
	} else if (y1 <= 1.5e+159) {
		tmp = x * (((y * ((a * b) - (c * i))) + t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y1 <= 1.1e+187) {
		tmp = x * t_1;
	} else if (y1 <= 6.8e+191) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else {
		tmp = y1 * ((y4 * t_3) + ((i * t_5) + (a * ((z * y3) - (x * y2)))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = y2 * ((c * y0) - (a * y1))
    t_2 = (z * t) - (x * y)
    t_3 = (k * y2) - (j * y3)
    t_4 = (x * y2) - (z * y3)
    t_5 = (x * j) - (z * k)
    t_6 = (a * y5) - (c * y4)
    t_7 = c * ((i * t_2) + ((y0 * t_4) + (y4 * ((y * y3) - (t * y2)))))
    t_8 = (j * y3) - (k * y2)
    t_9 = y0 * ((c * t_4) + ((y5 * t_8) - (b * t_5)))
    t_10 = ((i * y5) * ((y * k) - (t * j))) + ((((t * y2) - (y * y3)) * t_6) - (((y1 * y4) - (y0 * y5)) * t_8))
    if (y1 <= (-4.2d+204)) then
        tmp = y4 * (y1 * t_3)
    else if (y1 <= (-2.7d+88)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (y1 <= (-15500000000.0d0)) then
        tmp = t_7
    else if (y1 <= (-1.02d-54)) then
        tmp = z * (b * ((k * y0) - (t * a)))
    else if (y1 <= (-2d-71)) then
        tmp = t_10
    else if (y1 <= (-4.6d-102)) then
        tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_6)))
    else if (y1 <= (-1.36d-160)) then
        tmp = (c * i) * t_2
    else if (y1 <= (-6d-215)) then
        tmp = t_10
    else if (y1 <= (-5.2d-269)) then
        tmp = t_9
    else if (y1 <= 2.1d-175) then
        tmp = t_7
    else if (y1 <= 1.9d-79) then
        tmp = t_9
    else if (y1 <= 1.25d+29) then
        tmp = t_7
    else if (y1 <= 1.5d+159) then
        tmp = x * (((y * ((a * b) - (c * i))) + t_1) + (j * ((i * y1) - (b * y0))))
    else if (y1 <= 1.1d+187) then
        tmp = x * t_1
    else if (y1 <= 6.8d+191) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else
        tmp = y1 * ((y4 * t_3) + ((i * t_5) + (a * ((z * y3) - (x * y2)))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * ((c * y0) - (a * y1));
	double t_2 = (z * t) - (x * y);
	double t_3 = (k * y2) - (j * y3);
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (x * j) - (z * k);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = c * ((i * t_2) + ((y0 * t_4) + (y4 * ((y * y3) - (t * y2)))));
	double t_8 = (j * y3) - (k * y2);
	double t_9 = y0 * ((c * t_4) + ((y5 * t_8) - (b * t_5)));
	double t_10 = ((i * y5) * ((y * k) - (t * j))) + ((((t * y2) - (y * y3)) * t_6) - (((y1 * y4) - (y0 * y5)) * t_8));
	double tmp;
	if (y1 <= -4.2e+204) {
		tmp = y4 * (y1 * t_3);
	} else if (y1 <= -2.7e+88) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y1 <= -15500000000.0) {
		tmp = t_7;
	} else if (y1 <= -1.02e-54) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else if (y1 <= -2e-71) {
		tmp = t_10;
	} else if (y1 <= -4.6e-102) {
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_6)));
	} else if (y1 <= -1.36e-160) {
		tmp = (c * i) * t_2;
	} else if (y1 <= -6e-215) {
		tmp = t_10;
	} else if (y1 <= -5.2e-269) {
		tmp = t_9;
	} else if (y1 <= 2.1e-175) {
		tmp = t_7;
	} else if (y1 <= 1.9e-79) {
		tmp = t_9;
	} else if (y1 <= 1.25e+29) {
		tmp = t_7;
	} else if (y1 <= 1.5e+159) {
		tmp = x * (((y * ((a * b) - (c * i))) + t_1) + (j * ((i * y1) - (b * y0))));
	} else if (y1 <= 1.1e+187) {
		tmp = x * t_1;
	} else if (y1 <= 6.8e+191) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else {
		tmp = y1 * ((y4 * t_3) + ((i * t_5) + (a * ((z * y3) - (x * y2)))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * ((c * y0) - (a * y1))
	t_2 = (z * t) - (x * y)
	t_3 = (k * y2) - (j * y3)
	t_4 = (x * y2) - (z * y3)
	t_5 = (x * j) - (z * k)
	t_6 = (a * y5) - (c * y4)
	t_7 = c * ((i * t_2) + ((y0 * t_4) + (y4 * ((y * y3) - (t * y2)))))
	t_8 = (j * y3) - (k * y2)
	t_9 = y0 * ((c * t_4) + ((y5 * t_8) - (b * t_5)))
	t_10 = ((i * y5) * ((y * k) - (t * j))) + ((((t * y2) - (y * y3)) * t_6) - (((y1 * y4) - (y0 * y5)) * t_8))
	tmp = 0
	if y1 <= -4.2e+204:
		tmp = y4 * (y1 * t_3)
	elif y1 <= -2.7e+88:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif y1 <= -15500000000.0:
		tmp = t_7
	elif y1 <= -1.02e-54:
		tmp = z * (b * ((k * y0) - (t * a)))
	elif y1 <= -2e-71:
		tmp = t_10
	elif y1 <= -4.6e-102:
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_6)))
	elif y1 <= -1.36e-160:
		tmp = (c * i) * t_2
	elif y1 <= -6e-215:
		tmp = t_10
	elif y1 <= -5.2e-269:
		tmp = t_9
	elif y1 <= 2.1e-175:
		tmp = t_7
	elif y1 <= 1.9e-79:
		tmp = t_9
	elif y1 <= 1.25e+29:
		tmp = t_7
	elif y1 <= 1.5e+159:
		tmp = x * (((y * ((a * b) - (c * i))) + t_1) + (j * ((i * y1) - (b * y0))))
	elif y1 <= 1.1e+187:
		tmp = x * t_1
	elif y1 <= 6.8e+191:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	else:
		tmp = y1 * ((y4 * t_3) + ((i * t_5) + (a * ((z * y3) - (x * 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(y2 * Float64(Float64(c * y0) - Float64(a * y1)))
	t_2 = Float64(Float64(z * t) - Float64(x * y))
	t_3 = Float64(Float64(k * y2) - Float64(j * y3))
	t_4 = Float64(Float64(x * y2) - Float64(z * y3))
	t_5 = Float64(Float64(x * j) - Float64(z * k))
	t_6 = Float64(Float64(a * y5) - Float64(c * y4))
	t_7 = Float64(c * Float64(Float64(i * t_2) + Float64(Float64(y0 * t_4) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))))
	t_8 = Float64(Float64(j * y3) - Float64(k * y2))
	t_9 = Float64(y0 * Float64(Float64(c * t_4) + Float64(Float64(y5 * t_8) - Float64(b * t_5))))
	t_10 = Float64(Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(Float64(Float64(t * y2) - Float64(y * y3)) * t_6) - Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_8)))
	tmp = 0.0
	if (y1 <= -4.2e+204)
		tmp = Float64(y4 * Float64(y1 * t_3));
	elseif (y1 <= -2.7e+88)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y1 <= -15500000000.0)
		tmp = t_7;
	elseif (y1 <= -1.02e-54)
		tmp = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (y1 <= -2e-71)
		tmp = t_10;
	elseif (y1 <= -4.6e-102)
		tmp = Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(Float64(j * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y2 * t_6))));
	elseif (y1 <= -1.36e-160)
		tmp = Float64(Float64(c * i) * t_2);
	elseif (y1 <= -6e-215)
		tmp = t_10;
	elseif (y1 <= -5.2e-269)
		tmp = t_9;
	elseif (y1 <= 2.1e-175)
		tmp = t_7;
	elseif (y1 <= 1.9e-79)
		tmp = t_9;
	elseif (y1 <= 1.25e+29)
		tmp = t_7;
	elseif (y1 <= 1.5e+159)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + t_1) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y1 <= 1.1e+187)
		tmp = Float64(x * t_1);
	elseif (y1 <= 6.8e+191)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	else
		tmp = Float64(y1 * Float64(Float64(y4 * t_3) + Float64(Float64(i * t_5) + Float64(a * Float64(Float64(z * y3) - Float64(x * y2))))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * ((c * y0) - (a * y1));
	t_2 = (z * t) - (x * y);
	t_3 = (k * y2) - (j * y3);
	t_4 = (x * y2) - (z * y3);
	t_5 = (x * j) - (z * k);
	t_6 = (a * y5) - (c * y4);
	t_7 = c * ((i * t_2) + ((y0 * t_4) + (y4 * ((y * y3) - (t * y2)))));
	t_8 = (j * y3) - (k * y2);
	t_9 = y0 * ((c * t_4) + ((y5 * t_8) - (b * t_5)));
	t_10 = ((i * y5) * ((y * k) - (t * j))) + ((((t * y2) - (y * y3)) * t_6) - (((y1 * y4) - (y0 * y5)) * t_8));
	tmp = 0.0;
	if (y1 <= -4.2e+204)
		tmp = y4 * (y1 * t_3);
	elseif (y1 <= -2.7e+88)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (y1 <= -15500000000.0)
		tmp = t_7;
	elseif (y1 <= -1.02e-54)
		tmp = z * (b * ((k * y0) - (t * a)));
	elseif (y1 <= -2e-71)
		tmp = t_10;
	elseif (y1 <= -4.6e-102)
		tmp = t * ((z * ((c * i) - (a * b))) + ((j * ((b * y4) - (i * y5))) + (y2 * t_6)));
	elseif (y1 <= -1.36e-160)
		tmp = (c * i) * t_2;
	elseif (y1 <= -6e-215)
		tmp = t_10;
	elseif (y1 <= -5.2e-269)
		tmp = t_9;
	elseif (y1 <= 2.1e-175)
		tmp = t_7;
	elseif (y1 <= 1.9e-79)
		tmp = t_9;
	elseif (y1 <= 1.25e+29)
		tmp = t_7;
	elseif (y1 <= 1.5e+159)
		tmp = x * (((y * ((a * b) - (c * i))) + t_1) + (j * ((i * y1) - (b * y0))));
	elseif (y1 <= 1.1e+187)
		tmp = x * t_1;
	elseif (y1 <= 6.8e+191)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	else
		tmp = y1 * ((y4 * t_3) + ((i * t_5) + (a * ((z * y3) - (x * y2)))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(c * N[(N[(i * t$95$2), $MachinePrecision] + N[(N[(y0 * t$95$4), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(y0 * N[(N[(c * t$95$4), $MachinePrecision] + N[(N[(y5 * t$95$8), $MachinePrecision] - N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * t$95$6), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -4.2e+204], N[(y4 * N[(y1 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2.7e+88], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -15500000000.0], t$95$7, If[LessEqual[y1, -1.02e-54], N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2e-71], t$95$10, If[LessEqual[y1, -4.6e-102], N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.36e-160], N[(N[(c * i), $MachinePrecision] * t$95$2), $MachinePrecision], If[LessEqual[y1, -6e-215], t$95$10, If[LessEqual[y1, -5.2e-269], t$95$9, If[LessEqual[y1, 2.1e-175], t$95$7, If[LessEqual[y1, 1.9e-79], t$95$9, If[LessEqual[y1, 1.25e+29], t$95$7, If[LessEqual[y1, 1.5e+159], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.1e+187], N[(x * t$95$1), $MachinePrecision], If[LessEqual[y1, 6.8e+191], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y1 * N[(N[(y4 * t$95$3), $MachinePrecision] + N[(N[(i * t$95$5), $MachinePrecision] + N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y1 < -4.2000000000000001e204

   1. Initial program 13.0%

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

   3. Simplified 13.0%

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

   4. Taylor expanded in y4 around inf 44.0%

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

   5. Taylor expanded in y1 around inf 61.1%

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

   if -4.2000000000000001e204 < y1 < -2.70000000000000016e88

   1. Initial program 31.5%

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

   3. Simplified 31.5%

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

   4. Taylor expanded in j around inf 52.0%

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

      1. associate--l+ 52.0%

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

      2. mul-1-neg 52.0%

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

      3. *-commutative 52.0%

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

      4. *-commutative 52.0%

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

      5. *-commutative 52.0%

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

   6. Simplified 52.0%

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

   7. Taylor expanded in i around -inf 73.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 73.1%

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

      2. neg-mul-1 73.1%

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

      3. *-commutative 73.1%

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

      4. *-commutative 73.1%

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

   9. Simplified 73.1%

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

   10. Taylor expanded in i around 0 73.1%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 73.1%

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

       2. *-commutative 73.1%

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

       3. *-commutative 73.1%

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

       4. *-commutative 73.1%

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

       5. distribute-rgt-neg-out 73.1%

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

       6. associate-*l* 76.2%

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

   12. Simplified 76.2%

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

   if -2.70000000000000016e88 < y1 < -1.55e10 or -5.2e-269 < y1 < 2.1e-175 or 1.9000000000000001e-79 < y1 < 1.25e29

   1. Initial program 37.1%

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

   3. Simplified 37.1%

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

   4. Taylor expanded in c around inf 67.5%

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

      1. associate--l+ 67.5%

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

      2. *-commutative 67.5%

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

      3. mul-1-neg 67.5%

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

      4. *-commutative 67.5%

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

      5. *-commutative 67.5%

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

   6. Simplified 67.5%

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

   if -1.55e10 < y1 < -1.01999999999999999e-54

   1. Initial program 10.0%

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

   3. Simplified 10.0%

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

   4. Taylor expanded in z around -inf 60.0%

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

   5. Taylor expanded in b around inf 70.8%

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

   if -1.01999999999999999e-54 < y1 < -1.9999999999999998e-71 or -1.35999999999999993e-160 < y1 < -6.00000000000000051e-215

   1. Initial program 45.9%

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

   3. Simplified 45.9%

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

   4. Taylor expanded in y5 around inf 71.1%

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

      1. mul-1-neg 71.1%

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

   6. Simplified 71.1%

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

   if -1.9999999999999998e-71 < y1 < -4.59999999999999973e-102

   1. Initial program 28.6%

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

   3. Simplified 28.6%

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

   4. Taylor expanded in t around inf 86.2%

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

      1. associate--l+ 86.2%

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

      2. *-commutative 86.2%

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

      3. mul-1-neg 86.2%

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

      4. *-commutative 86.2%

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

      5. *-commutative 86.2%

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

      6. *-commutative 86.2%

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

      7. *-commutative 86.2%

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

   6. Simplified 86.2%

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

   if -4.59999999999999973e-102 < y1 < -1.35999999999999993e-160

   1. Initial program 40.0%

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

   3. Simplified 40.0%

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

   4. Taylor expanded in c around inf 53.6%

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

      1. associate--l+ 53.6%

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

      2. *-commutative 53.6%

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

      3. mul-1-neg 53.6%

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

      4. *-commutative 53.6%

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

      5. *-commutative 53.6%

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

   6. Simplified 53.6%

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

   7. Taylor expanded in i around inf 61.1%

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

      1. associate-*r* 67.5%

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

      2. *-commutative 67.5%

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

      3. *-commutative 67.5%

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

   9. Simplified 67.5%

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

   if -6.00000000000000051e-215 < y1 < -5.2e-269 or 2.1e-175 < y1 < 1.9000000000000001e-79

   1. Initial program 32.7%

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

   3. Simplified 35.2%

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

   4. Taylor expanded in y0 around inf 73.2%

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

      1. *-commutative 73.2%

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

      2. *-commutative 73.2%

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

      3. mul-1-neg 73.2%

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

      4. *-commutative 73.2%

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

      5. *-commutative 73.2%

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

   6. Simplified 73.2%

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

   if 1.25e29 < y1 < 1.5000000000000001e159

   1. Initial program 35.2%

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

   3. Simplified 35.2%

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

   4. Taylor expanded in x around inf 70.8%

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

   if 1.5000000000000001e159 < y1 < 1.0999999999999999e187

   1. Initial program 14.3%

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

   3. Simplified 14.3%

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

   4. Taylor expanded in x around inf 28.6%

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

   5. Taylor expanded in y2 around inf 86.3%

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

   if 1.0999999999999999e187 < y1 < 6.80000000000000018e191

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in j around inf 100.0%

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

      1. associate--l+ 100.0%

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

      2. mul-1-neg 100.0%

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

      3. *-commutative 100.0%

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

      4. *-commutative 100.0%

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

      5. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in y5 around inf 100.0%

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

      1. *-commutative 100.0%

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

      2. cancel-sign-sub-inv 100.0%

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

      3. metadata-eval 100.0%

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

      4. *-lft-identity 100.0%

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

      5. +-commutative 100.0%

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

      6. mul-1-neg 100.0%

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

      7. sub-neg 100.0%

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

   9. Simplified 100.0%

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

   if 6.80000000000000018e191 < y1

   1. Initial program 23.8%

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

   3. Simplified 23.8%

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

   4. Taylor expanded in y1 around inf 71.5%

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

      1. associate--l+ 71.5%

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

      2. *-commutative 71.5%

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

      3. *-commutative 71.5%

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

      4. *-commutative 71.5%

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

      5. sub-neg 71.5%

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

      6. mul-1-neg 71.5%

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

      7. distribute-lft-out-- 71.5%

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

   6. Simplified 71.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + -1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 71.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -4.2 \cdot 10^{+204}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -2.7 \cdot 10^{+88}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -15500000000:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.02 \cdot 10^{-54}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;y1 \leq -2 \cdot 10^{-71}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{-102}:\\ \;\;\;\;t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + \left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.36 \cdot 10^{-160}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;y1 \leq -6 \cdot 10^{-215}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -5.2 \cdot 10^{-269}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 2.1 \cdot 10^{-175}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 1.9 \cdot 10^{-79}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 1.25 \cdot 10^{+29}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 1.5 \cdot 10^{+159}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 1.1 \cdot 10^{+187}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 6.8 \cdot 10^{+191}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \end{array} \]

Alternative 2: 53.2% accurate, 0.4× speedup

Math

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

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z k) (* x j)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3
         (+
          (+
           (+
            (+
             (+
              (* (- (* a b) (* c i)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) t_1))
             (* t_2 (- (* c y0) (* a y1))))
            (* (- (* b y4) (* i y5)) (- (* t j) (* y k))))
           (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
          (* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5))))))
   (if (<= t_3 INFINITY)
     t_3
     (* y0 (+ (* y5 (- (* j y3) (* k y2))) (fma c t_2 (* b 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 = (z * k) - (x * j);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * t_1)) + (t_2 * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_3 <= ((double) INFINITY)) {
		tmp = t_3;
	} else {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + fma(c, t_2, (b * t_1)));
	}
	return tmp;
}

Julia

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 91.5%

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

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

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y0 around inf 37.9%

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

      1. associate--l+ 37.9%

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

      2. mul-1-neg 37.9%

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

      3. *-commutative 37.9%

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

      4. *-commutative 37.9%

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

      5. fma-neg 39.1%

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

      6. *-commutative 39.1%

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

      7. *-commutative 39.1%

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

      8. mul-1-neg 39.1%

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

      9. associate-*r* 39.1%

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

   6. Simplified 39.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + \mathsf{fma}\left(c, y2 \cdot x - z \cdot y3, \left(-\left(j \cdot x - k \cdot z\right)\right) \cdot b\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 57.1%

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

Alternative 3: 52.9% accurate, 0.5× speedup

Math

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

FPCore

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

C

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Derivation

1. Split input into 2 regimes

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

   1. Initial program 91.5%

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

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

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in j around inf 39.1%

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

      1. associate--l+ 39.1%

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

      2. mul-1-neg 39.1%

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

      3. *-commutative 39.1%

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

      4. *-commutative 39.1%

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

      5. *-commutative 39.1%

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

   6. Simplified 39.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 57.1%

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

Alternative 4: 36.3% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ t_2 := y \cdot k - t \cdot j\\ t_3 := a \cdot b - c \cdot i\\ t_4 := t \cdot y2 - y \cdot y3\\ t_5 := x \cdot j - z \cdot k\\ t_6 := x \cdot y - z \cdot t\\ t_7 := x \cdot y2 - z \cdot y3\\ t_8 := j \cdot y3 - k \cdot y2\\ t_9 := t_4 \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_8\\ t_10 := z \cdot y3 - x \cdot y2\\ \mathbf{if}\;i \leq -1.8 \cdot 10^{+113}:\\ \;\;\;\;i \cdot \left(\left(y1 \cdot t_5 + y5 \cdot t_2\right) - c \cdot t_6\right) + t_9\\ \mathbf{elif}\;i \leq -9.3 \cdot 10^{-39}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot t_7 + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;i \leq -6.6 \cdot 10^{-177}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_3 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_1\right) + t_9\\ \mathbf{elif}\;i \leq 9.6 \cdot 10^{-231}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-198}:\\ \;\;\;\;y0 \cdot \left(c \cdot t_7 + \left(y5 \cdot t_8 - b \cdot t_5\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(\left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right) - k \cdot t_1\right)\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{+117}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t_3\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq 1.42 \cdot 10^{+147}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 2.05 \cdot 10^{+182}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot t_5 + a \cdot t_10\right)\right)\\ \mathbf{elif}\;i \leq 6.4 \cdot 10^{+225}:\\ \;\;\;\;a \cdot \left(b \cdot t_6 + \left(y1 \cdot t_10 + y5 \cdot t_4\right)\right)\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{+267}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0)))
        (t_2 (- (* y k) (* t j)))
        (t_3 (- (* a b) (* c i)))
        (t_4 (- (* t y2) (* y y3)))
        (t_5 (- (* x j) (* z k)))
        (t_6 (- (* x y) (* z t)))
        (t_7 (- (* x y2) (* z y3)))
        (t_8 (- (* j y3) (* k y2)))
        (t_9 (- (* t_4 (- (* a y5) (* c y4))) (* (- (* y1 y4) (* y0 y5)) t_8)))
        (t_10 (- (* z y3) (* x y2))))
   (if (<= i -1.8e+113)
     (+ (* i (- (+ (* y1 t_5) (* y5 t_2)) (* c t_6))) t_9)
     (if (<= i -9.3e-39)
       (*
        c
        (+
         (* i (- (* z t) (* x y)))
         (+ (* y0 t_7) (* y4 (- (* y y3) (* t y2))))))
       (if (<= i -6.6e-177)
         (+ (* x (+ (+ (* y t_3) (* y2 (- (* c y0) (* a y1)))) (* j t_1))) t_9)
         (if (<= i 9.6e-231)
           (* x (* y0 (- (* c y2) (* b j))))
           (if (<= i 3e-198)
             (* y0 (+ (* c t_7) (- (* y5 t_8) (* b t_5))))
             (if (<= i 4.2e-36)
               (*
                z
                (-
                 (+ (* y3 (- (* a y1) (* c y0))) (* t (- (* c i) (* a b))))
                 (* k t_1)))
               (if (<= i 1.4e+117)
                 (*
                  y
                  (+
                   (+ (* k (- (* i y5) (* b y4))) (* x t_3))
                   (* y3 (- (* c y4) (* a y5)))))
                 (if (<= i 1.42e+147)
                   (* x (* a (- (* y b) (* y1 y2))))
                   (if (<= i 2.05e+182)
                     (*
                      y1
                      (+
                       (* y4 (- (* k y2) (* j y3)))
                       (+ (* i t_5) (* a t_10))))
                     (if (<= i 6.4e+225)
                       (* a (+ (* b t_6) (+ (* y1 t_10) (* y5 t_4))))
                       (if (<= i 2.9e+267)
                         (* t (* j (- (* b y4) (* i y5))))
                         (* (* i y5) 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 = (i * y1) - (b * y0);
	double t_2 = (y * k) - (t * j);
	double t_3 = (a * b) - (c * i);
	double t_4 = (t * y2) - (y * y3);
	double t_5 = (x * j) - (z * k);
	double t_6 = (x * y) - (z * t);
	double t_7 = (x * y2) - (z * y3);
	double t_8 = (j * y3) - (k * y2);
	double t_9 = (t_4 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_8);
	double t_10 = (z * y3) - (x * y2);
	double tmp;
	if (i <= -1.8e+113) {
		tmp = (i * (((y1 * t_5) + (y5 * t_2)) - (c * t_6))) + t_9;
	} else if (i <= -9.3e-39) {
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_7) + (y4 * ((y * y3) - (t * y2)))));
	} else if (i <= -6.6e-177) {
		tmp = (x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))) + t_9;
	} else if (i <= 9.6e-231) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (i <= 3e-198) {
		tmp = y0 * ((c * t_7) + ((y5 * t_8) - (b * t_5)));
	} else if (i <= 4.2e-36) {
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_1));
	} else if (i <= 1.4e+117) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_3)) + (y3 * ((c * y4) - (a * y5))));
	} else if (i <= 1.42e+147) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (i <= 2.05e+182) {
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_5) + (a * t_10)));
	} else if (i <= 6.4e+225) {
		tmp = a * ((b * t_6) + ((y1 * t_10) + (y5 * t_4)));
	} else if (i <= 2.9e+267) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else {
		tmp = (i * y5) * 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_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    t_2 = (y * k) - (t * j)
    t_3 = (a * b) - (c * i)
    t_4 = (t * y2) - (y * y3)
    t_5 = (x * j) - (z * k)
    t_6 = (x * y) - (z * t)
    t_7 = (x * y2) - (z * y3)
    t_8 = (j * y3) - (k * y2)
    t_9 = (t_4 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_8)
    t_10 = (z * y3) - (x * y2)
    if (i <= (-1.8d+113)) then
        tmp = (i * (((y1 * t_5) + (y5 * t_2)) - (c * t_6))) + t_9
    else if (i <= (-9.3d-39)) then
        tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_7) + (y4 * ((y * y3) - (t * y2)))))
    else if (i <= (-6.6d-177)) then
        tmp = (x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))) + t_9
    else if (i <= 9.6d-231) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (i <= 3d-198) then
        tmp = y0 * ((c * t_7) + ((y5 * t_8) - (b * t_5)))
    else if (i <= 4.2d-36) then
        tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_1))
    else if (i <= 1.4d+117) then
        tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_3)) + (y3 * ((c * y4) - (a * y5))))
    else if (i <= 1.42d+147) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (i <= 2.05d+182) then
        tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_5) + (a * t_10)))
    else if (i <= 6.4d+225) then
        tmp = a * ((b * t_6) + ((y1 * t_10) + (y5 * t_4)))
    else if (i <= 2.9d+267) then
        tmp = t * (j * ((b * y4) - (i * y5)))
    else
        tmp = (i * y5) * 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 = (i * y1) - (b * y0);
	double t_2 = (y * k) - (t * j);
	double t_3 = (a * b) - (c * i);
	double t_4 = (t * y2) - (y * y3);
	double t_5 = (x * j) - (z * k);
	double t_6 = (x * y) - (z * t);
	double t_7 = (x * y2) - (z * y3);
	double t_8 = (j * y3) - (k * y2);
	double t_9 = (t_4 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_8);
	double t_10 = (z * y3) - (x * y2);
	double tmp;
	if (i <= -1.8e+113) {
		tmp = (i * (((y1 * t_5) + (y5 * t_2)) - (c * t_6))) + t_9;
	} else if (i <= -9.3e-39) {
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_7) + (y4 * ((y * y3) - (t * y2)))));
	} else if (i <= -6.6e-177) {
		tmp = (x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))) + t_9;
	} else if (i <= 9.6e-231) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (i <= 3e-198) {
		tmp = y0 * ((c * t_7) + ((y5 * t_8) - (b * t_5)));
	} else if (i <= 4.2e-36) {
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_1));
	} else if (i <= 1.4e+117) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_3)) + (y3 * ((c * y4) - (a * y5))));
	} else if (i <= 1.42e+147) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (i <= 2.05e+182) {
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_5) + (a * t_10)));
	} else if (i <= 6.4e+225) {
		tmp = a * ((b * t_6) + ((y1 * t_10) + (y5 * t_4)));
	} else if (i <= 2.9e+267) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else {
		tmp = (i * y5) * 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 = (i * y1) - (b * y0)
	t_2 = (y * k) - (t * j)
	t_3 = (a * b) - (c * i)
	t_4 = (t * y2) - (y * y3)
	t_5 = (x * j) - (z * k)
	t_6 = (x * y) - (z * t)
	t_7 = (x * y2) - (z * y3)
	t_8 = (j * y3) - (k * y2)
	t_9 = (t_4 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_8)
	t_10 = (z * y3) - (x * y2)
	tmp = 0
	if i <= -1.8e+113:
		tmp = (i * (((y1 * t_5) + (y5 * t_2)) - (c * t_6))) + t_9
	elif i <= -9.3e-39:
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_7) + (y4 * ((y * y3) - (t * y2)))))
	elif i <= -6.6e-177:
		tmp = (x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))) + t_9
	elif i <= 9.6e-231:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif i <= 3e-198:
		tmp = y0 * ((c * t_7) + ((y5 * t_8) - (b * t_5)))
	elif i <= 4.2e-36:
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_1))
	elif i <= 1.4e+117:
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_3)) + (y3 * ((c * y4) - (a * y5))))
	elif i <= 1.42e+147:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif i <= 2.05e+182:
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_5) + (a * t_10)))
	elif i <= 6.4e+225:
		tmp = a * ((b * t_6) + ((y1 * t_10) + (y5 * t_4)))
	elif i <= 2.9e+267:
		tmp = t * (j * ((b * y4) - (i * y5)))
	else:
		tmp = (i * y5) * t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	t_2 = Float64(Float64(y * k) - Float64(t * j))
	t_3 = Float64(Float64(a * b) - Float64(c * i))
	t_4 = Float64(Float64(t * y2) - Float64(y * y3))
	t_5 = Float64(Float64(x * j) - Float64(z * k))
	t_6 = Float64(Float64(x * y) - Float64(z * t))
	t_7 = Float64(Float64(x * y2) - Float64(z * y3))
	t_8 = Float64(Float64(j * y3) - Float64(k * y2))
	t_9 = Float64(Float64(t_4 * Float64(Float64(a * y5) - Float64(c * y4))) - Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_8))
	t_10 = Float64(Float64(z * y3) - Float64(x * y2))
	tmp = 0.0
	if (i <= -1.8e+113)
		tmp = Float64(Float64(i * Float64(Float64(Float64(y1 * t_5) + Float64(y5 * t_2)) - Float64(c * t_6))) + t_9);
	elseif (i <= -9.3e-39)
		tmp = Float64(c * Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(Float64(y0 * t_7) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))));
	elseif (i <= -6.6e-177)
		tmp = Float64(Float64(x * Float64(Float64(Float64(y * t_3) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_1))) + t_9);
	elseif (i <= 9.6e-231)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (i <= 3e-198)
		tmp = Float64(y0 * Float64(Float64(c * t_7) + Float64(Float64(y5 * t_8) - Float64(b * t_5))));
	elseif (i <= 4.2e-36)
		tmp = Float64(z * Float64(Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))) - Float64(k * t_1)));
	elseif (i <= 1.4e+117)
		tmp = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_3)) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (i <= 1.42e+147)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (i <= 2.05e+182)
		tmp = Float64(y1 * Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(Float64(i * t_5) + Float64(a * t_10))));
	elseif (i <= 6.4e+225)
		tmp = Float64(a * Float64(Float64(b * t_6) + Float64(Float64(y1 * t_10) + Float64(y5 * t_4))));
	elseif (i <= 2.9e+267)
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	else
		tmp = Float64(Float64(i * y5) * 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 = (i * y1) - (b * y0);
	t_2 = (y * k) - (t * j);
	t_3 = (a * b) - (c * i);
	t_4 = (t * y2) - (y * y3);
	t_5 = (x * j) - (z * k);
	t_6 = (x * y) - (z * t);
	t_7 = (x * y2) - (z * y3);
	t_8 = (j * y3) - (k * y2);
	t_9 = (t_4 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_8);
	t_10 = (z * y3) - (x * y2);
	tmp = 0.0;
	if (i <= -1.8e+113)
		tmp = (i * (((y1 * t_5) + (y5 * t_2)) - (c * t_6))) + t_9;
	elseif (i <= -9.3e-39)
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_7) + (y4 * ((y * y3) - (t * y2)))));
	elseif (i <= -6.6e-177)
		tmp = (x * (((y * t_3) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))) + t_9;
	elseif (i <= 9.6e-231)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (i <= 3e-198)
		tmp = y0 * ((c * t_7) + ((y5 * t_8) - (b * t_5)));
	elseif (i <= 4.2e-36)
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_1));
	elseif (i <= 1.4e+117)
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_3)) + (y3 * ((c * y4) - (a * y5))));
	elseif (i <= 1.42e+147)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (i <= 2.05e+182)
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_5) + (a * t_10)));
	elseif (i <= 6.4e+225)
		tmp = a * ((b * t_6) + ((y1 * t_10) + (y5 * t_4)));
	elseif (i <= 2.9e+267)
		tmp = t * (j * ((b * y4) - (i * y5)));
	else
		tmp = (i * y5) * t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(t$95$4 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$8), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -1.8e+113], N[(N[(i * N[(N[(N[(y1 * t$95$5), $MachinePrecision] + N[(y5 * t$95$2), $MachinePrecision]), $MachinePrecision] - N[(c * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$9), $MachinePrecision], If[LessEqual[i, -9.3e-39], N[(c * N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * t$95$7), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -6.6e-177], N[(N[(x * N[(N[(N[(y * t$95$3), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$9), $MachinePrecision], If[LessEqual[i, 9.6e-231], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3e-198], N[(y0 * N[(N[(c * t$95$7), $MachinePrecision] + N[(N[(y5 * t$95$8), $MachinePrecision] - N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 4.2e-36], N[(z * N[(N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(k * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.4e+117], N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.42e+147], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.05e+182], N[(y1 * N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$5), $MachinePrecision] + N[(a * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 6.4e+225], N[(a * N[(N[(b * t$95$6), $MachinePrecision] + N[(N[(y1 * t$95$10), $MachinePrecision] + N[(y5 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.9e+267], N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(i * y5), $MachinePrecision] * t$95$2), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if i < -1.79999999999999996e113

   1. Initial program 29.7%

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

   3. Simplified 29.7%

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

   4. Taylor expanded in i around -inf 61.1%

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

      1. mul-1-neg 61.1%

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

      2. associate--l+ 61.1%

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

   6. Simplified 61.1%

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

   if -1.79999999999999996e113 < i < -9.29999999999999975e-39

   1. Initial program 20.0%

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

   3. Simplified 20.0%

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

   4. Taylor expanded in c around inf 47.3%

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

      1. associate--l+ 47.3%

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

      2. *-commutative 47.3%

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

      3. mul-1-neg 47.3%

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

      4. *-commutative 47.3%

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

      5. *-commutative 47.3%

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

   6. Simplified 47.3%

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

   if -9.29999999999999975e-39 < i < -6.5999999999999999e-177

   1. Initial program 60.3%

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

   3. Simplified 60.3%

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

   4. Taylor expanded in x around inf 72.0%

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

   if -6.5999999999999999e-177 < i < 9.59999999999999967e-231

   1. Initial program 31.6%

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

   3. Simplified 31.6%

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

   4. Taylor expanded in x around inf 38.7%

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

   5. Taylor expanded in y0 around inf 57.1%

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

   if 9.59999999999999967e-231 < i < 3.0000000000000001e-198

   1. Initial program 57.1%

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

   3. Simplified 57.1%

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

   4. Taylor expanded in y0 around inf 85.7%

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

      1. *-commutative 85.7%

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

      2. *-commutative 85.7%

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

      3. mul-1-neg 85.7%

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

      4. *-commutative 85.7%

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

      5. *-commutative 85.7%

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

   6. Simplified 85.7%

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

   if 3.0000000000000001e-198 < i < 4.19999999999999982e-36

   1. Initial program 44.7%

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

   3. Simplified 44.7%

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

   4. Taylor expanded in z around -inf 67.4%

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

   if 4.19999999999999982e-36 < i < 1.39999999999999999e117

   1. Initial program 25.0%

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

   3. Simplified 25.0%

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

   4. Taylor expanded in y around inf 64.1%

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

      1. mul-1-neg 64.1%

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

      2. *-commutative 64.1%

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

      3. *-commutative 64.1%

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

      4. mul-1-neg 64.1%

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

      5. *-commutative 64.1%

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

      6. *-commutative 64.1%

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

   6. Simplified 64.1%

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

   if 1.39999999999999999e117 < i < 1.42e147

   1. Initial program 14.3%

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

   3. Simplified 14.3%

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

   4. Taylor expanded in x around inf 43.0%

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

   5. Taylor expanded in a around inf 72.6%

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

      1. *-commutative 72.6%

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

      2. mul-1-neg 72.6%

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

      3. unsub-neg 72.6%

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

      4. *-commutative 72.6%

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

   7. Simplified 72.6%

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

   if 1.42e147 < i < 2.05000000000000001e182

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y1 around inf 80.0%

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

      1. associate--l+ 80.0%

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

      2. *-commutative 80.0%

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

      3. *-commutative 80.0%

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

      4. *-commutative 80.0%

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

      5. sub-neg 80.0%

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

      6. mul-1-neg 80.0%

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

      7. distribute-lft-out-- 80.0%

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

   6. Simplified 80.0%

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

   if 2.05000000000000001e182 < i < 6.39999999999999981e225

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in a around inf 84.6%

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

      1. *-commutative 84.6%

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

      2. associate--l+ 84.6%

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

      3. associate-*r* 84.6%

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

      4. *-commutative 84.6%

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

      5. associate-*r* 84.6%

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

   6. Simplified 84.6%

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

   if 6.39999999999999981e225 < i < 2.89999999999999983e267

   1. Initial program 15.0%

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

   3. Simplified 15.0%

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

   4. Taylor expanded in j around inf 64.7%

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

      1. associate--l+ 64.7%

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

      2. mul-1-neg 64.7%

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

      3. *-commutative 64.7%

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

      4. *-commutative 64.7%

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

      5. *-commutative 64.7%

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

   6. Simplified 64.7%

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

   7. Taylor expanded in t around inf 71.9%

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

   if 2.89999999999999983e267 < i

   1. Initial program 44.5%

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

   3. Simplified 44.5%

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

   4. Taylor expanded in y5 around inf 45.3%

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

      1. mul-1-neg 45.3%

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

   6. Simplified 45.3%

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

   7. Taylor expanded in i around inf 68.2%

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

      1. mul-1-neg 68.2%

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

      2. associate-*r* 78.6%

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

      3. *-commutative 78.6%

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

      4. associate-*r* 78.6%

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

      5. *-commutative 78.6%

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

      6. distribute-rgt-neg-out 78.6%

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

      7. distribute-rgt-neg-in 78.6%

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

   9. Simplified 78.6%

      \[\leadsto \color{blue}{\left(t \cdot j - y \cdot k\right) \cdot \left(i \cdot \left(-y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 64.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -1.8 \cdot 10^{+113}:\\ \;\;\;\;i \cdot \left(\left(y1 \cdot \left(x \cdot j - z \cdot k\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - c \cdot \left(x \cdot y - z \cdot t\right)\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq -9.3 \cdot 10^{-39}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;i \leq -6.6 \cdot 10^{-177}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 9.6 \cdot 10^{-231}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 3 \cdot 10^{-198}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(\left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right) - k \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{+117}:\\ \;\;\;\;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}\;i \leq 1.42 \cdot 10^{+147}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 2.05 \cdot 10^{+182}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;i \leq 6.4 \cdot 10^{+225}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{+267}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \end{array} \]

Alternative 5: 37.7% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot y3 - x \cdot y2\\ t_2 := x \cdot j - z \cdot k\\ t_3 := j \cdot y3 - k \cdot y2\\ t_4 := i \cdot y1 - b \cdot y0\\ t_5 := t \cdot y2 - y \cdot y3\\ t_6 := x \cdot y2 - z \cdot y3\\ t_7 := a \cdot b - c \cdot i\\ \mathbf{if}\;i \leq -7.4 \cdot 10^{+251}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;i \leq -3.6 \cdot 10^{-26}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot t_6 + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{-160}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_7 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t_4\right) + \left(t_5 \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot t_3\right)\\ \mathbf{elif}\;i \leq 4.9 \cdot 10^{-148}:\\ \;\;\;\;y0 \cdot \left(c \cdot t_6 + \left(y5 \cdot t_3 - b \cdot t_2\right)\right)\\ \mathbf{elif}\;i \leq 6.8 \cdot 10^{-35}:\\ \;\;\;\;z \cdot \left(\left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right) - k \cdot t_4\right)\\ \mathbf{elif}\;i \leq 1.05 \cdot 10^{+117}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t_7\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq 1.56 \cdot 10^{+147}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 8.8 \cdot 10^{+182}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot t_2 + a \cdot t_1\right)\right)\\ \mathbf{elif}\;i \leq 2.75 \cdot 10^{+226}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot t_1 + y5 \cdot t_5\right)\right)\\ \mathbf{elif}\;i \leq 3.2 \cdot 10^{+265}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\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 y3) (* x y2)))
        (t_2 (- (* x j) (* z k)))
        (t_3 (- (* j y3) (* k y2)))
        (t_4 (- (* i y1) (* b y0)))
        (t_5 (- (* t y2) (* y y3)))
        (t_6 (- (* x y2) (* z y3)))
        (t_7 (- (* a b) (* c i))))
   (if (<= i -7.4e+251)
     (* (* j y1) (- (* x i) (* y3 y4)))
     (if (<= i -3.6e-26)
       (*
        c
        (+
         (* i (- (* z t) (* x y)))
         (+ (* y0 t_6) (* y4 (- (* y y3) (* t y2))))))
       (if (<= i -2.3e-160)
         (+
          (* x (+ (+ (* y t_7) (* y2 (- (* c y0) (* a y1)))) (* j t_4)))
          (- (* t_5 (- (* a y5) (* c y4))) (* (- (* y1 y4) (* y0 y5)) t_3)))
         (if (<= i 4.9e-148)
           (* y0 (+ (* c t_6) (- (* y5 t_3) (* b t_2))))
           (if (<= i 6.8e-35)
             (*
              z
              (-
               (+ (* y3 (- (* a y1) (* c y0))) (* t (- (* c i) (* a b))))
               (* k t_4)))
             (if (<= i 1.05e+117)
               (*
                y
                (+
                 (+ (* k (- (* i y5) (* b y4))) (* x t_7))
                 (* y3 (- (* c y4) (* a y5)))))
               (if (<= i 1.56e+147)
                 (* x (* a (- (* y b) (* y1 y2))))
                 (if (<= i 8.8e+182)
                   (*
                    y1
                    (+ (* y4 (- (* k y2) (* j y3))) (+ (* i t_2) (* a t_1))))
                   (if (<= i 2.75e+226)
                     (*
                      a
                      (+ (* b (- (* x y) (* z t))) (+ (* y1 t_1) (* y5 t_5))))
                     (if (<= i 3.2e+265)
                       (* t (* j (- (* b y4) (* i y5))))
                       (* (* i y5) (- (* y k) (* t j)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * y3) - (x * y2);
	double t_2 = (x * j) - (z * k);
	double t_3 = (j * y3) - (k * y2);
	double t_4 = (i * y1) - (b * y0);
	double t_5 = (t * y2) - (y * y3);
	double t_6 = (x * y2) - (z * y3);
	double t_7 = (a * b) - (c * i);
	double tmp;
	if (i <= -7.4e+251) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (i <= -3.6e-26) {
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_6) + (y4 * ((y * y3) - (t * y2)))));
	} else if (i <= -2.3e-160) {
		tmp = (x * (((y * t_7) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))) + ((t_5 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_3));
	} else if (i <= 4.9e-148) {
		tmp = y0 * ((c * t_6) + ((y5 * t_3) - (b * t_2)));
	} else if (i <= 6.8e-35) {
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_4));
	} else if (i <= 1.05e+117) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_7)) + (y3 * ((c * y4) - (a * y5))));
	} else if (i <= 1.56e+147) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (i <= 8.8e+182) {
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_2) + (a * t_1)));
	} else if (i <= 2.75e+226) {
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_1) + (y5 * t_5)));
	} else if (i <= 3.2e+265) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else {
		tmp = (i * y5) * ((y * k) - (t * j));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (z * y3) - (x * y2)
    t_2 = (x * j) - (z * k)
    t_3 = (j * y3) - (k * y2)
    t_4 = (i * y1) - (b * y0)
    t_5 = (t * y2) - (y * y3)
    t_6 = (x * y2) - (z * y3)
    t_7 = (a * b) - (c * i)
    if (i <= (-7.4d+251)) then
        tmp = (j * y1) * ((x * i) - (y3 * y4))
    else if (i <= (-3.6d-26)) then
        tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_6) + (y4 * ((y * y3) - (t * y2)))))
    else if (i <= (-2.3d-160)) then
        tmp = (x * (((y * t_7) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))) + ((t_5 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_3))
    else if (i <= 4.9d-148) then
        tmp = y0 * ((c * t_6) + ((y5 * t_3) - (b * t_2)))
    else if (i <= 6.8d-35) then
        tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_4))
    else if (i <= 1.05d+117) then
        tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_7)) + (y3 * ((c * y4) - (a * y5))))
    else if (i <= 1.56d+147) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (i <= 8.8d+182) then
        tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_2) + (a * t_1)))
    else if (i <= 2.75d+226) then
        tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_1) + (y5 * t_5)))
    else if (i <= 3.2d+265) then
        tmp = t * (j * ((b * y4) - (i * y5)))
    else
        tmp = (i * y5) * ((y * k) - (t * j))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * y3) - (x * y2);
	double t_2 = (x * j) - (z * k);
	double t_3 = (j * y3) - (k * y2);
	double t_4 = (i * y1) - (b * y0);
	double t_5 = (t * y2) - (y * y3);
	double t_6 = (x * y2) - (z * y3);
	double t_7 = (a * b) - (c * i);
	double tmp;
	if (i <= -7.4e+251) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (i <= -3.6e-26) {
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_6) + (y4 * ((y * y3) - (t * y2)))));
	} else if (i <= -2.3e-160) {
		tmp = (x * (((y * t_7) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))) + ((t_5 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_3));
	} else if (i <= 4.9e-148) {
		tmp = y0 * ((c * t_6) + ((y5 * t_3) - (b * t_2)));
	} else if (i <= 6.8e-35) {
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_4));
	} else if (i <= 1.05e+117) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_7)) + (y3 * ((c * y4) - (a * y5))));
	} else if (i <= 1.56e+147) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (i <= 8.8e+182) {
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_2) + (a * t_1)));
	} else if (i <= 2.75e+226) {
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_1) + (y5 * t_5)));
	} else if (i <= 3.2e+265) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else {
		tmp = (i * y5) * ((y * k) - (t * j));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (z * y3) - (x * y2)
	t_2 = (x * j) - (z * k)
	t_3 = (j * y3) - (k * y2)
	t_4 = (i * y1) - (b * y0)
	t_5 = (t * y2) - (y * y3)
	t_6 = (x * y2) - (z * y3)
	t_7 = (a * b) - (c * i)
	tmp = 0
	if i <= -7.4e+251:
		tmp = (j * y1) * ((x * i) - (y3 * y4))
	elif i <= -3.6e-26:
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_6) + (y4 * ((y * y3) - (t * y2)))))
	elif i <= -2.3e-160:
		tmp = (x * (((y * t_7) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))) + ((t_5 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_3))
	elif i <= 4.9e-148:
		tmp = y0 * ((c * t_6) + ((y5 * t_3) - (b * t_2)))
	elif i <= 6.8e-35:
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_4))
	elif i <= 1.05e+117:
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_7)) + (y3 * ((c * y4) - (a * y5))))
	elif i <= 1.56e+147:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif i <= 8.8e+182:
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_2) + (a * t_1)))
	elif i <= 2.75e+226:
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_1) + (y5 * t_5)))
	elif i <= 3.2e+265:
		tmp = t * (j * ((b * y4) - (i * y5)))
	else:
		tmp = (i * y5) * ((y * k) - (t * j))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(z * y3) - Float64(x * y2))
	t_2 = Float64(Float64(x * j) - Float64(z * k))
	t_3 = Float64(Float64(j * y3) - Float64(k * y2))
	t_4 = Float64(Float64(i * y1) - Float64(b * y0))
	t_5 = Float64(Float64(t * y2) - Float64(y * y3))
	t_6 = Float64(Float64(x * y2) - Float64(z * y3))
	t_7 = Float64(Float64(a * b) - Float64(c * i))
	tmp = 0.0
	if (i <= -7.4e+251)
		tmp = Float64(Float64(j * y1) * Float64(Float64(x * i) - Float64(y3 * y4)));
	elseif (i <= -3.6e-26)
		tmp = Float64(c * Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(Float64(y0 * t_6) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))));
	elseif (i <= -2.3e-160)
		tmp = Float64(Float64(x * Float64(Float64(Float64(y * t_7) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_4))) + Float64(Float64(t_5 * Float64(Float64(a * y5) - Float64(c * y4))) - Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * t_3)));
	elseif (i <= 4.9e-148)
		tmp = Float64(y0 * Float64(Float64(c * t_6) + Float64(Float64(y5 * t_3) - Float64(b * t_2))));
	elseif (i <= 6.8e-35)
		tmp = Float64(z * Float64(Float64(Float64(y3 * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(t * Float64(Float64(c * i) - Float64(a * b)))) - Float64(k * t_4)));
	elseif (i <= 1.05e+117)
		tmp = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_7)) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (i <= 1.56e+147)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (i <= 8.8e+182)
		tmp = Float64(y1 * Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(Float64(i * t_2) + Float64(a * t_1))));
	elseif (i <= 2.75e+226)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(y1 * t_1) + Float64(y5 * t_5))));
	elseif (i <= 3.2e+265)
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	else
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (z * y3) - (x * y2);
	t_2 = (x * j) - (z * k);
	t_3 = (j * y3) - (k * y2);
	t_4 = (i * y1) - (b * y0);
	t_5 = (t * y2) - (y * y3);
	t_6 = (x * y2) - (z * y3);
	t_7 = (a * b) - (c * i);
	tmp = 0.0;
	if (i <= -7.4e+251)
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	elseif (i <= -3.6e-26)
		tmp = c * ((i * ((z * t) - (x * y))) + ((y0 * t_6) + (y4 * ((y * y3) - (t * y2)))));
	elseif (i <= -2.3e-160)
		tmp = (x * (((y * t_7) + (y2 * ((c * y0) - (a * y1)))) + (j * t_4))) + ((t_5 * ((a * y5) - (c * y4))) - (((y1 * y4) - (y0 * y5)) * t_3));
	elseif (i <= 4.9e-148)
		tmp = y0 * ((c * t_6) + ((y5 * t_3) - (b * t_2)));
	elseif (i <= 6.8e-35)
		tmp = z * (((y3 * ((a * y1) - (c * y0))) + (t * ((c * i) - (a * b)))) - (k * t_4));
	elseif (i <= 1.05e+117)
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * t_7)) + (y3 * ((c * y4) - (a * y5))));
	elseif (i <= 1.56e+147)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (i <= 8.8e+182)
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_2) + (a * t_1)));
	elseif (i <= 2.75e+226)
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_1) + (y5 * t_5)));
	elseif (i <= 3.2e+265)
		tmp = t * (j * ((b * y4) - (i * y5)));
	else
		tmp = (i * y5) * ((y * k) - (t * j));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -7.4e+251], N[(N[(j * y1), $MachinePrecision] * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3.6e-26], N[(c * N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * t$95$6), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -2.3e-160], N[(N[(x * N[(N[(N[(y * t$95$7), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$5 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 4.9e-148], N[(y0 * N[(N[(c * t$95$6), $MachinePrecision] + N[(N[(y5 * t$95$3), $MachinePrecision] - N[(b * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 6.8e-35], N[(z * N[(N[(N[(y3 * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(k * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.05e+117], N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.56e+147], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 8.8e+182], N[(y1 * N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$2), $MachinePrecision] + N[(a * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.75e+226], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y1 * t$95$1), $MachinePrecision] + N[(y5 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.2e+265], N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if i < -7.3999999999999998e251

   1. Initial program 12.0%

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

   3. Simplified 12.0%

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

   4. Taylor expanded in j around inf 45.0%

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

      1. associate--l+ 45.0%

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

      2. mul-1-neg 45.0%

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

      3. *-commutative 45.0%

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

      4. *-commutative 45.0%

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

      5. *-commutative 45.0%

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

   6. Simplified 45.0%

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

   7. Taylor expanded in y1 around -inf 56.8%

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

      1. associate-*r* 56.2%

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

      2. mul-1-neg 56.2%

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

      3. unsub-neg 56.2%

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

      4. *-commutative 56.2%

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

      5. *-commutative 56.2%

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

   9. Simplified 56.2%

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

   if -7.3999999999999998e251 < i < -3.6000000000000001e-26

   1. Initial program 30.2%

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

   3. Simplified 30.2%

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

   4. Taylor expanded in c around inf 53.9%

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

      1. associate--l+ 53.9%

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

      2. *-commutative 53.9%

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

      3. mul-1-neg 53.9%

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

      4. *-commutative 53.9%

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

      5. *-commutative 53.9%

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

   6. Simplified 53.9%

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

   if -3.6000000000000001e-26 < i < -2.29999999999999985e-160

   1. Initial program 60.4%

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

   3. Simplified 60.4%

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

   4. Taylor expanded in x around inf 80.0%

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

   if -2.29999999999999985e-160 < i < 4.9e-148

   1. Initial program 40.2%

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

   3. Simplified 48.2%

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

   4. Taylor expanded in y0 around inf 54.3%

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

      1. *-commutative 54.3%

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

      2. *-commutative 54.3%

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

      3. mul-1-neg 54.3%

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

      4. *-commutative 54.3%

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

      5. *-commutative 54.3%

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

   6. Simplified 54.3%

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

   if 4.9e-148 < i < 6.8000000000000005e-35

   1. Initial program 43.2%

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

   3. Simplified 43.2%

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

   4. Taylor expanded in z around -inf 67.7%

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

   if 6.8000000000000005e-35 < i < 1.0500000000000001e117

   1. Initial program 25.0%

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

   3. Simplified 25.0%

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

   4. Taylor expanded in y around inf 64.1%

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

      1. mul-1-neg 64.1%

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

      2. *-commutative 64.1%

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

      3. *-commutative 64.1%

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

      4. mul-1-neg 64.1%

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

      5. *-commutative 64.1%

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

      6. *-commutative 64.1%

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

   6. Simplified 64.1%

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

   if 1.0500000000000001e117 < i < 1.56e147

   1. Initial program 14.3%

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

   3. Simplified 14.3%

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

   4. Taylor expanded in x around inf 43.0%

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

   5. Taylor expanded in a around inf 72.6%

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

      1. *-commutative 72.6%

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

      2. mul-1-neg 72.6%

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

      3. unsub-neg 72.6%

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

      4. *-commutative 72.6%

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

   7. Simplified 72.6%

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

   if 1.56e147 < i < 8.79999999999999986e182

   1. Initial program 0.0%

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

   3. Simplified 0.0%

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

   4. Taylor expanded in y1 around inf 80.0%

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

      1. associate--l+ 80.0%

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

      2. *-commutative 80.0%

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

      3. *-commutative 80.0%

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

      4. *-commutative 80.0%

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

      5. sub-neg 80.0%

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

      6. mul-1-neg 80.0%

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

      7. distribute-lft-out-- 80.0%

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

   6. Simplified 80.0%

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

   if 8.79999999999999986e182 < i < 2.7500000000000003e226

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in a around inf 84.6%

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

      1. *-commutative 84.6%

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

      2. associate--l+ 84.6%

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

      3. associate-*r* 84.6%

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

      4. *-commutative 84.6%

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

      5. associate-*r* 84.6%

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

   6. Simplified 84.6%

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

   if 2.7500000000000003e226 < i < 3.20000000000000014e265

   1. Initial program 15.0%

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

   3. Simplified 15.0%

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

   4. Taylor expanded in j around inf 64.7%

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

      1. associate--l+ 64.7%

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

      2. mul-1-neg 64.7%

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

      3. *-commutative 64.7%

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

      4. *-commutative 64.7%

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

      5. *-commutative 64.7%

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

   6. Simplified 64.7%

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

   7. Taylor expanded in t around inf 71.9%

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

   if 3.20000000000000014e265 < i

   1. Initial program 44.5%

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

   3. Simplified 44.5%

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

   4. Taylor expanded in y5 around inf 45.3%

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

      1. mul-1-neg 45.3%

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

   6. Simplified 45.3%

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

   7. Taylor expanded in i around inf 68.2%

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

      1. mul-1-neg 68.2%

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

      2. associate-*r* 78.6%

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

      3. *-commutative 78.6%

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

      4. associate-*r* 78.6%

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

      5. *-commutative 78.6%

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

      6. distribute-rgt-neg-out 78.6%

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

      7. distribute-rgt-neg-in 78.6%

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

   9. Simplified 78.6%

      \[\leadsto \color{blue}{\left(t \cdot j - y \cdot k\right) \cdot \left(i \cdot \left(-y5\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 63.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -7.4 \cdot 10^{+251}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;i \leq -3.6 \cdot 10^{-26}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{-160}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(y1 \cdot y4 - y0 \cdot y5\right) \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 4.9 \cdot 10^{-148}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{elif}\;i \leq 6.8 \cdot 10^{-35}:\\ \;\;\;\;z \cdot \left(\left(y3 \cdot \left(a \cdot y1 - c \cdot y0\right) + t \cdot \left(c \cdot i - a \cdot b\right)\right) - k \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.05 \cdot 10^{+117}:\\ \;\;\;\;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}\;i \leq 1.56 \cdot 10^{+147}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;i \leq 8.8 \cdot 10^{+182}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;i \leq 2.75 \cdot 10^{+226}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)\\ \mathbf{elif}\;i \leq 3.2 \cdot 10^{+265}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \end{array} \]

Alternative 6: 33.5% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ t_2 := x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ t_3 := \left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ t_4 := y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\\ t_5 := y4 \cdot \left(\left(t_4 + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;c \leq -8.5 \cdot 10^{+176}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-32}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{-67}:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-296}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-133}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-107}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 6.2 \cdot 10^{-81}:\\ \;\;\;\;y4 \cdot t_4\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+153}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{+232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.25 \cdot 10^{+244}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (* b (- (* k y0) (* t a)))))
        (t_2 (* x (* y0 (- (* c y2) (* b j)))))
        (t_3 (* (* c i) (- (* z t) (* x y))))
        (t_4 (* y1 (- (* k y2) (* j y3))))
        (t_5
         (*
          y4
          (+ (+ t_4 (* b (- (* t j) (* y k)))) (* c (- (* y y3) (* t y2)))))))
   (if (<= c -8.5e+176)
     t_3
     (if (<= c -5.2e+77)
       t_2
       (if (<= c -5.8e-32)
         (* j (* i (- (* x y1) (* t y5))))
         (if (<= c -7.2e-67)
           (* (- (* t c) (* k y1)) (* z i))
           (if (<= c 3.5e-296)
             t_1
             (if (<= c 1.5e-133)
               t_5
               (if (<= c 2.3e-107)
                 t_1
                 (if (<= c 6.2e-81)
                   (* y4 t_4)
                   (if (<= c 9.5e+27)
                     (*
                      x
                      (+
                       (+
                        (* y (- (* a b) (* c i)))
                        (* y2 (- (* c y0) (* a y1))))
                       (* j (- (* i y1) (* b y0)))))
                     (if (<= c 1.5e+153)
                       t_5
                       (if (<= c 1.35e+232)
                         t_2
                         (if (<= c 1.25e+244) t_5 t_3))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * (b * ((k * y0) - (t * a)));
	double t_2 = x * (y0 * ((c * y2) - (b * j)));
	double t_3 = (c * i) * ((z * t) - (x * y));
	double t_4 = y1 * ((k * y2) - (j * y3));
	double t_5 = y4 * ((t_4 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (c <= -8.5e+176) {
		tmp = t_3;
	} else if (c <= -5.2e+77) {
		tmp = t_2;
	} else if (c <= -5.8e-32) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (c <= -7.2e-67) {
		tmp = ((t * c) - (k * y1)) * (z * i);
	} else if (c <= 3.5e-296) {
		tmp = t_1;
	} else if (c <= 1.5e-133) {
		tmp = t_5;
	} else if (c <= 2.3e-107) {
		tmp = t_1;
	} else if (c <= 6.2e-81) {
		tmp = y4 * t_4;
	} else if (c <= 9.5e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 1.5e+153) {
		tmp = t_5;
	} else if (c <= 1.35e+232) {
		tmp = t_2;
	} else if (c <= 1.25e+244) {
		tmp = t_5;
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = z * (b * ((k * y0) - (t * a)))
    t_2 = x * (y0 * ((c * y2) - (b * j)))
    t_3 = (c * i) * ((z * t) - (x * y))
    t_4 = y1 * ((k * y2) - (j * y3))
    t_5 = y4 * ((t_4 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))))
    if (c <= (-8.5d+176)) then
        tmp = t_3
    else if (c <= (-5.2d+77)) then
        tmp = t_2
    else if (c <= (-5.8d-32)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (c <= (-7.2d-67)) then
        tmp = ((t * c) - (k * y1)) * (z * i)
    else if (c <= 3.5d-296) then
        tmp = t_1
    else if (c <= 1.5d-133) then
        tmp = t_5
    else if (c <= 2.3d-107) then
        tmp = t_1
    else if (c <= 6.2d-81) then
        tmp = y4 * t_4
    else if (c <= 9.5d+27) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    else if (c <= 1.5d+153) then
        tmp = t_5
    else if (c <= 1.35d+232) then
        tmp = t_2
    else if (c <= 1.25d+244) then
        tmp = t_5
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * (b * ((k * y0) - (t * a)));
	double t_2 = x * (y0 * ((c * y2) - (b * j)));
	double t_3 = (c * i) * ((z * t) - (x * y));
	double t_4 = y1 * ((k * y2) - (j * y3));
	double t_5 = y4 * ((t_4 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (c <= -8.5e+176) {
		tmp = t_3;
	} else if (c <= -5.2e+77) {
		tmp = t_2;
	} else if (c <= -5.8e-32) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (c <= -7.2e-67) {
		tmp = ((t * c) - (k * y1)) * (z * i);
	} else if (c <= 3.5e-296) {
		tmp = t_1;
	} else if (c <= 1.5e-133) {
		tmp = t_5;
	} else if (c <= 2.3e-107) {
		tmp = t_1;
	} else if (c <= 6.2e-81) {
		tmp = y4 * t_4;
	} else if (c <= 9.5e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 1.5e+153) {
		tmp = t_5;
	} else if (c <= 1.35e+232) {
		tmp = t_2;
	} else if (c <= 1.25e+244) {
		tmp = t_5;
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * (b * ((k * y0) - (t * a)))
	t_2 = x * (y0 * ((c * y2) - (b * j)))
	t_3 = (c * i) * ((z * t) - (x * y))
	t_4 = y1 * ((k * y2) - (j * y3))
	t_5 = y4 * ((t_4 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if c <= -8.5e+176:
		tmp = t_3
	elif c <= -5.2e+77:
		tmp = t_2
	elif c <= -5.8e-32:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif c <= -7.2e-67:
		tmp = ((t * c) - (k * y1)) * (z * i)
	elif c <= 3.5e-296:
		tmp = t_1
	elif c <= 1.5e-133:
		tmp = t_5
	elif c <= 2.3e-107:
		tmp = t_1
	elif c <= 6.2e-81:
		tmp = y4 * t_4
	elif c <= 9.5e+27:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	elif c <= 1.5e+153:
		tmp = t_5
	elif c <= 1.35e+232:
		tmp = t_2
	elif c <= 1.25e+244:
		tmp = t_5
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))))
	t_2 = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))))
	t_3 = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)))
	t_4 = Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))
	t_5 = Float64(y4 * Float64(Float64(t_4 + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (c <= -8.5e+176)
		tmp = t_3;
	elseif (c <= -5.2e+77)
		tmp = t_2;
	elseif (c <= -5.8e-32)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (c <= -7.2e-67)
		tmp = Float64(Float64(Float64(t * c) - Float64(k * y1)) * Float64(z * i));
	elseif (c <= 3.5e-296)
		tmp = t_1;
	elseif (c <= 1.5e-133)
		tmp = t_5;
	elseif (c <= 2.3e-107)
		tmp = t_1;
	elseif (c <= 6.2e-81)
		tmp = Float64(y4 * t_4);
	elseif (c <= 9.5e+27)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (c <= 1.5e+153)
		tmp = t_5;
	elseif (c <= 1.35e+232)
		tmp = t_2;
	elseif (c <= 1.25e+244)
		tmp = t_5;
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * (b * ((k * y0) - (t * a)));
	t_2 = x * (y0 * ((c * y2) - (b * j)));
	t_3 = (c * i) * ((z * t) - (x * y));
	t_4 = y1 * ((k * y2) - (j * y3));
	t_5 = y4 * ((t_4 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (c <= -8.5e+176)
		tmp = t_3;
	elseif (c <= -5.2e+77)
		tmp = t_2;
	elseif (c <= -5.8e-32)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (c <= -7.2e-67)
		tmp = ((t * c) - (k * y1)) * (z * i);
	elseif (c <= 3.5e-296)
		tmp = t_1;
	elseif (c <= 1.5e-133)
		tmp = t_5;
	elseif (c <= 2.3e-107)
		tmp = t_1;
	elseif (c <= 6.2e-81)
		tmp = y4 * t_4;
	elseif (c <= 9.5e+27)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	elseif (c <= 1.5e+153)
		tmp = t_5;
	elseif (c <= 1.35e+232)
		tmp = t_2;
	elseif (c <= 1.25e+244)
		tmp = t_5;
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(t$95$4 + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -8.5e+176], t$95$3, If[LessEqual[c, -5.2e+77], t$95$2, If[LessEqual[c, -5.8e-32], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -7.2e-67], N[(N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision] * N[(z * i), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.5e-296], t$95$1, If[LessEqual[c, 1.5e-133], t$95$5, If[LessEqual[c, 2.3e-107], t$95$1, If[LessEqual[c, 6.2e-81], N[(y4 * t$95$4), $MachinePrecision], If[LessEqual[c, 9.5e+27], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.5e+153], t$95$5, If[LessEqual[c, 1.35e+232], t$95$2, If[LessEqual[c, 1.25e+244], t$95$5, t$95$3]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if c < -8.4999999999999995e176 or 1.25000000000000006e244 < c

   1. Initial program 30.4%

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

   3. Simplified 30.4%

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

   4. Taylor expanded in c around inf 60.1%

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

      1. associate--l+ 60.1%

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

      2. *-commutative 60.1%

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

      3. mul-1-neg 60.1%

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

      4. *-commutative 60.1%

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

      5. *-commutative 60.1%

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

   6. Simplified 60.1%

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

   7. Taylor expanded in i around inf 65.1%

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

      1. associate-*r* 69.2%

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

      2. *-commutative 69.2%

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

      3. *-commutative 69.2%

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

   9. Simplified 69.2%

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

   if -8.4999999999999995e176 < c < -5.2000000000000004e77 or 1.50000000000000009e153 < c < 1.35e232

   1. Initial program 18.5%

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

   3. Simplified 18.5%

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

   4. Taylor expanded in x around inf 42.8%

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

   5. Taylor expanded in y0 around inf 64.1%

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

   if -5.2000000000000004e77 < c < -5.79999999999999991e-32

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in j around inf 60.5%

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

      1. associate--l+ 60.5%

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

      2. mul-1-neg 60.5%

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

      3. *-commutative 60.5%

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

      4. *-commutative 60.5%

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

      5. *-commutative 60.5%

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

   6. Simplified 60.5%

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

   7. Taylor expanded in i around -inf 41.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 41.6%

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

      2. neg-mul-1 41.6%

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

      3. *-commutative 41.6%

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

      4. *-commutative 41.6%

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

   9. Simplified 41.6%

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

   10. Taylor expanded in i around 0 41.6%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 41.6%

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

       2. *-commutative 41.6%

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

       3. *-commutative 41.6%

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

       4. *-commutative 41.6%

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

       5. distribute-rgt-neg-out 41.6%

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

       6. associate-*l* 50.9%

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

   12. Simplified 50.9%

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

   if -5.79999999999999991e-32 < c < -7.19999999999999998e-67

   1. Initial program 40.0%

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

   3. Simplified 40.0%

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

   4. Taylor expanded in z around -inf 61.1%

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

   5. Taylor expanded in i around -inf 80.4%

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

   if -7.19999999999999998e-67 < c < 3.4999999999999999e-296 or 1.5000000000000001e-133 < c < 2.30000000000000003e-107

   1. Initial program 27.8%

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

   3. Simplified 27.8%

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

   4. Taylor expanded in z around -inf 40.8%

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

   5. Taylor expanded in b around inf 53.6%

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

   if 3.4999999999999999e-296 < c < 1.5000000000000001e-133 or 9.4999999999999997e27 < c < 1.50000000000000009e153 or 1.35e232 < c < 1.25000000000000006e244

   1. Initial program 35.2%

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

   3. Simplified 35.2%

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

   4. Taylor expanded in y4 around inf 60.0%

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

   if 2.30000000000000003e-107 < c < 6.19999999999999976e-81

   1. Initial program 22.2%

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

   3. Simplified 22.2%

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

   4. Taylor expanded in y4 around inf 44.9%

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

   5. Taylor expanded in y1 around inf 56.2%

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

   if 6.19999999999999976e-81 < c < 9.4999999999999997e27

   1. Initial program 35.7%

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

   3. Simplified 35.7%

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

   4. Taylor expanded in x around inf 65.2%

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

4. Final simplification 61.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -8.5 \cdot 10^{+176}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{+77}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -5.8 \cdot 10^{-32}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{-67}:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-296}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-133}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-107}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 6.2 \cdot 10^{-81}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+153}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{+232}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.25 \cdot 10^{+244}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]

Alternative 7: 38.3% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot y3 - t \cdot y2\\ t_2 := i \cdot y1 - b \cdot y0\\ t_3 := z \cdot t - x \cdot y\\ t_4 := y0 \cdot y5 - y1 \cdot y4\\ t_5 := j \cdot \left(y3 \cdot t_4 + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot t_2\right)\right)\\ t_6 := c \cdot y0 - a \cdot y1\\ t_7 := y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\\ \mathbf{if}\;c \leq -6 \cdot 10^{+177}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t_3\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{+115}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -9.5 \cdot 10^{+102}:\\ \;\;\;\;c \cdot t_7\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-33}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -6.2 \cdot 10^{-223}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{-293}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{-232}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot t_1\right)\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-218}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-119}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot t_6 + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-81}:\\ \;\;\;\;y3 \cdot \left(j \cdot t_4\right)\\ \mathbf{elif}\;c \leq 4 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_6\right) + j \cdot t_2\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot t_3 + \left(t_7 + y4 \cdot t_1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y y3) (* t y2)))
        (t_2 (- (* i y1) (* b y0)))
        (t_3 (- (* z t) (* x y)))
        (t_4 (- (* y0 y5) (* y1 y4)))
        (t_5 (* j (+ (* y3 t_4) (+ (* t (- (* b y4) (* i y5))) (* x t_2)))))
        (t_6 (- (* c y0) (* a y1)))
        (t_7 (* y0 (- (* x y2) (* z y3)))))
   (if (<= c -6e+177)
     (* (* c i) t_3)
     (if (<= c -3.5e+115)
       (* x (* y0 (- (* c y2) (* b j))))
       (if (<= c -9.5e+102)
         (* c t_7)
         (if (<= c -5e-33)
           t_5
           (if (<= c -6.2e-223)
             (* z (* b (- (* k y0) (* t a))))
             (if (<= c 1.55e-293)
               t_5
               (if (<= c 3.8e-232)
                 (*
                  y4
                  (+
                   (+ (* y1 (- (* k y2) (* j y3))) (* b (- (* t j) (* y k))))
                   (* c t_1)))
                 (if (<= c 5.4e-218)
                   (*
                    y5
                    (+
                     (* i (- (* y k) (* t j)))
                     (+
                      (* a (- (* t y2) (* y y3)))
                      (* y0 (- (* j y3) (* k y2))))))
                   (if (<= c 6e-119)
                     (*
                      y2
                      (+
                       (+ (* x t_6) (* k (- (* y1 y4) (* y0 y5))))
                       (* t (- (* a y5) (* c y4)))))
                     (if (<= c 1.8e-81)
                       (* y3 (* j t_4))
                       (if (<= c 4e+27)
                         (*
                          x
                          (+
                           (+ (* y (- (* a b) (* c i))) (* y2 t_6))
                           (* j t_2)))
                         (* c (+ (* i t_3) (+ t_7 (* 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 = (y * y3) - (t * y2);
	double t_2 = (i * y1) - (b * y0);
	double t_3 = (z * t) - (x * y);
	double t_4 = (y0 * y5) - (y1 * y4);
	double t_5 = j * ((y3 * t_4) + ((t * ((b * y4) - (i * y5))) + (x * t_2)));
	double t_6 = (c * y0) - (a * y1);
	double t_7 = y0 * ((x * y2) - (z * y3));
	double tmp;
	if (c <= -6e+177) {
		tmp = (c * i) * t_3;
	} else if (c <= -3.5e+115) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (c <= -9.5e+102) {
		tmp = c * t_7;
	} else if (c <= -5e-33) {
		tmp = t_5;
	} else if (c <= -6.2e-223) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else if (c <= 1.55e-293) {
		tmp = t_5;
	} else if (c <= 3.8e-232) {
		tmp = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1));
	} else if (c <= 5.4e-218) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (c <= 6e-119) {
		tmp = y2 * (((x * t_6) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 1.8e-81) {
		tmp = y3 * (j * t_4);
	} else if (c <= 4e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_6)) + (j * t_2));
	} else {
		tmp = c * ((i * t_3) + (t_7 + (y4 * t_1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (y * y3) - (t * y2)
    t_2 = (i * y1) - (b * y0)
    t_3 = (z * t) - (x * y)
    t_4 = (y0 * y5) - (y1 * y4)
    t_5 = j * ((y3 * t_4) + ((t * ((b * y4) - (i * y5))) + (x * t_2)))
    t_6 = (c * y0) - (a * y1)
    t_7 = y0 * ((x * y2) - (z * y3))
    if (c <= (-6d+177)) then
        tmp = (c * i) * t_3
    else if (c <= (-3.5d+115)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (c <= (-9.5d+102)) then
        tmp = c * t_7
    else if (c <= (-5d-33)) then
        tmp = t_5
    else if (c <= (-6.2d-223)) then
        tmp = z * (b * ((k * y0) - (t * a)))
    else if (c <= 1.55d-293) then
        tmp = t_5
    else if (c <= 3.8d-232) then
        tmp = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1))
    else if (c <= 5.4d-218) then
        tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))))
    else if (c <= 6d-119) then
        tmp = y2 * (((x * t_6) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))))
    else if (c <= 1.8d-81) then
        tmp = y3 * (j * t_4)
    else if (c <= 4d+27) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_6)) + (j * t_2))
    else
        tmp = c * ((i * t_3) + (t_7 + (y4 * t_1)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y * y3) - (t * y2);
	double t_2 = (i * y1) - (b * y0);
	double t_3 = (z * t) - (x * y);
	double t_4 = (y0 * y5) - (y1 * y4);
	double t_5 = j * ((y3 * t_4) + ((t * ((b * y4) - (i * y5))) + (x * t_2)));
	double t_6 = (c * y0) - (a * y1);
	double t_7 = y0 * ((x * y2) - (z * y3));
	double tmp;
	if (c <= -6e+177) {
		tmp = (c * i) * t_3;
	} else if (c <= -3.5e+115) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (c <= -9.5e+102) {
		tmp = c * t_7;
	} else if (c <= -5e-33) {
		tmp = t_5;
	} else if (c <= -6.2e-223) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else if (c <= 1.55e-293) {
		tmp = t_5;
	} else if (c <= 3.8e-232) {
		tmp = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1));
	} else if (c <= 5.4e-218) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (c <= 6e-119) {
		tmp = y2 * (((x * t_6) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 1.8e-81) {
		tmp = y3 * (j * t_4);
	} else if (c <= 4e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_6)) + (j * t_2));
	} else {
		tmp = c * ((i * t_3) + (t_7 + (y4 * t_1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y * y3) - (t * y2)
	t_2 = (i * y1) - (b * y0)
	t_3 = (z * t) - (x * y)
	t_4 = (y0 * y5) - (y1 * y4)
	t_5 = j * ((y3 * t_4) + ((t * ((b * y4) - (i * y5))) + (x * t_2)))
	t_6 = (c * y0) - (a * y1)
	t_7 = y0 * ((x * y2) - (z * y3))
	tmp = 0
	if c <= -6e+177:
		tmp = (c * i) * t_3
	elif c <= -3.5e+115:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif c <= -9.5e+102:
		tmp = c * t_7
	elif c <= -5e-33:
		tmp = t_5
	elif c <= -6.2e-223:
		tmp = z * (b * ((k * y0) - (t * a)))
	elif c <= 1.55e-293:
		tmp = t_5
	elif c <= 3.8e-232:
		tmp = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1))
	elif c <= 5.4e-218:
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))))
	elif c <= 6e-119:
		tmp = y2 * (((x * t_6) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))))
	elif c <= 1.8e-81:
		tmp = y3 * (j * t_4)
	elif c <= 4e+27:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_6)) + (j * t_2))
	else:
		tmp = c * ((i * t_3) + (t_7 + (y4 * t_1)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y * y3) - Float64(t * y2))
	t_2 = Float64(Float64(i * y1) - Float64(b * y0))
	t_3 = Float64(Float64(z * t) - Float64(x * y))
	t_4 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_5 = Float64(j * Float64(Float64(y3 * t_4) + Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * t_2))))
	t_6 = Float64(Float64(c * y0) - Float64(a * y1))
	t_7 = Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))
	tmp = 0.0
	if (c <= -6e+177)
		tmp = Float64(Float64(c * i) * t_3);
	elseif (c <= -3.5e+115)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (c <= -9.5e+102)
		tmp = Float64(c * t_7);
	elseif (c <= -5e-33)
		tmp = t_5;
	elseif (c <= -6.2e-223)
		tmp = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (c <= 1.55e-293)
		tmp = t_5;
	elseif (c <= 3.8e-232)
		tmp = Float64(y4 * Float64(Float64(Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * t_1)));
	elseif (c <= 5.4e-218)
		tmp = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (c <= 6e-119)
		tmp = Float64(y2 * Float64(Float64(Float64(x * t_6) + Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (c <= 1.8e-81)
		tmp = Float64(y3 * Float64(j * t_4));
	elseif (c <= 4e+27)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_6)) + Float64(j * t_2)));
	else
		tmp = Float64(c * Float64(Float64(i * t_3) + Float64(t_7 + Float64(y4 * t_1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y * y3) - (t * y2);
	t_2 = (i * y1) - (b * y0);
	t_3 = (z * t) - (x * y);
	t_4 = (y0 * y5) - (y1 * y4);
	t_5 = j * ((y3 * t_4) + ((t * ((b * y4) - (i * y5))) + (x * t_2)));
	t_6 = (c * y0) - (a * y1);
	t_7 = y0 * ((x * y2) - (z * y3));
	tmp = 0.0;
	if (c <= -6e+177)
		tmp = (c * i) * t_3;
	elseif (c <= -3.5e+115)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (c <= -9.5e+102)
		tmp = c * t_7;
	elseif (c <= -5e-33)
		tmp = t_5;
	elseif (c <= -6.2e-223)
		tmp = z * (b * ((k * y0) - (t * a)));
	elseif (c <= 1.55e-293)
		tmp = t_5;
	elseif (c <= 3.8e-232)
		tmp = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1));
	elseif (c <= 5.4e-218)
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))));
	elseif (c <= 6e-119)
		tmp = y2 * (((x * t_6) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))));
	elseif (c <= 1.8e-81)
		tmp = y3 * (j * t_4);
	elseif (c <= 4e+27)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_6)) + (j * t_2));
	else
		tmp = c * ((i * t_3) + (t_7 + (y4 * t_1)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(j * N[(N[(y3 * t$95$4), $MachinePrecision] + N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -6e+177], N[(N[(c * i), $MachinePrecision] * t$95$3), $MachinePrecision], If[LessEqual[c, -3.5e+115], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -9.5e+102], N[(c * t$95$7), $MachinePrecision], If[LessEqual[c, -5e-33], t$95$5, If[LessEqual[c, -6.2e-223], N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.55e-293], t$95$5, If[LessEqual[c, 3.8e-232], N[(y4 * N[(N[(N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 5.4e-218], N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 6e-119], N[(y2 * N[(N[(N[(x * t$95$6), $MachinePrecision] + N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.8e-81], N[(y3 * N[(j * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4e+27], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(i * t$95$3), $MachinePrecision] + N[(t$95$7 + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if c < -6e177

   1. Initial program 31.0%

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

   3. Simplified 31.0%

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

   4. Taylor expanded in c around inf 67.6%

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

      1. associate--l+ 67.6%

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

      2. *-commutative 67.6%

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

      3. mul-1-neg 67.6%

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

      4. *-commutative 67.6%

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

      5. *-commutative 67.6%

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

   6. Simplified 67.6%

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

   7. Taylor expanded in i around inf 71.7%

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

      1. associate-*r* 74.9%

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

      2. *-commutative 74.9%

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

      3. *-commutative 74.9%

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

   9. Simplified 74.9%

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

   if -6e177 < c < -3.50000000000000005e115

   1. Initial program 11.4%

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

   3. Simplified 11.4%

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

   4. Taylor expanded in x around inf 56.0%

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

   5. Taylor expanded in y0 around inf 77.8%

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

   if -3.50000000000000005e115 < c < -9.4999999999999992e102

   1. Initial program 66.7%

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

   3. Simplified 66.7%

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

   4. Taylor expanded in c around inf 100.0%

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

      1. associate--l+ 100.0%

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

      2. *-commutative 100.0%

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

      3. mul-1-neg 100.0%

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

      4. *-commutative 100.0%

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

      5. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in y0 around -inf 100.0%

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

   if -9.4999999999999992e102 < c < -5.00000000000000028e-33 or -6.20000000000000036e-223 < c < 1.54999999999999991e-293

   1. Initial program 40.8%

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

   3. Simplified 40.8%

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

   4. Taylor expanded in j around inf 66.5%

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

      1. associate--l+ 66.5%

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

      2. mul-1-neg 66.5%

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

      3. *-commutative 66.5%

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

      4. *-commutative 66.5%

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

      5. *-commutative 66.5%

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

   6. Simplified 66.5%

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

   if -5.00000000000000028e-33 < c < -6.20000000000000036e-223

   1. Initial program 27.6%

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

   3. Simplified 27.6%

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

   4. Taylor expanded in z around -inf 48.9%

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

   5. Taylor expanded in b around inf 58.2%

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

   if 1.54999999999999991e-293 < c < 3.8000000000000001e-232

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y4 around inf 64.5%

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

   if 3.8000000000000001e-232 < c < 5.3999999999999999e-218

   1. Initial program 28.6%

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

   3. Simplified 28.6%

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

   4. Taylor expanded in y5 around -inf 72.8%

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

      1. mul-1-neg 72.8%

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

      2. associate--l+ 72.8%

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

      3. *-commutative 72.8%

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

   6. Simplified 72.8%

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

   if 5.3999999999999999e-218 < c < 6.0000000000000004e-119

   1. Initial program 25.7%

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

   3. Simplified 25.7%

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

   4. Taylor expanded in y2 around inf 76.1%

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

   if 6.0000000000000004e-119 < c < 1.7999999999999999e-81

   1. Initial program 18.2%

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

   3. Simplified 18.2%

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

   4. Taylor expanded in j around inf 36.7%

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

      1. associate--l+ 36.7%

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

      2. mul-1-neg 36.7%

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

      3. *-commutative 36.7%

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

      4. *-commutative 36.7%

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

      5. *-commutative 36.7%

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

   6. Simplified 36.7%

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

   7. Taylor expanded in y3 around -inf 64.2%

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

      1. associate-*r* 64.2%

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

      2. neg-mul-1 64.2%

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

   9. Simplified 64.2%

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

   if 1.7999999999999999e-81 < c < 4.0000000000000001e27

   1. Initial program 35.7%

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

   3. Simplified 35.7%

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

   4. Taylor expanded in x around inf 65.2%

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

   if 4.0000000000000001e27 < c

   1. Initial program 25.1%

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

   3. Simplified 25.1%

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

   4. Taylor expanded in c around inf 53.7%

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

      1. associate--l+ 53.7%

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

      2. *-commutative 53.7%

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

      3. mul-1-neg 53.7%

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

      4. *-commutative 53.7%

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

      5. *-commutative 53.7%

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

   6. Simplified 53.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 64.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -6 \cdot 10^{+177}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{+115}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -9.5 \cdot 10^{+102}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-33}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\\ \mathbf{elif}\;c \leq -6.2 \cdot 10^{-223}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{-293}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{-232}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-218}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;c \leq 6 \cdot 10^{-119}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot \left(c \cdot y0 - a \cdot y1\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-81}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 4 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \end{array} \]

Alternative 8: 37.7% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := z \cdot y3 - x \cdot y2\\ t_3 := j \cdot y3 - k \cdot y2\\ t_4 := x \cdot j - z \cdot k\\ t_5 := \left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ t_6 := i \cdot y1 - b \cdot y0\\ t_7 := y1 \cdot y4 - y0 \cdot y5\\ t_8 := k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot t_7\right)\right)\\ t_9 := j \cdot t_6\\ t_10 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;c \leq -9.6 \cdot 10^{+177}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot t_6\right)\right)\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-288}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-256}:\\ \;\;\;\;x \cdot t_9\\ \mathbf{elif}\;c \leq 3.7 \cdot 10^{-232}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-215}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot t_10 + y0 \cdot t_3\right)\right)\\ \mathbf{elif}\;c \leq 3 \cdot 10^{-123}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot t_1 + k \cdot t_7\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 8.2 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot t_2 + y5 \cdot t_10\right)\right)\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{+26}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_1\right) + t_9\right)\\ \mathbf{elif}\;c \leq 1.62 \cdot 10^{+63}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot t_4 + a \cdot t_2\right)\right)\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{+232}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot t_3 - b \cdot t_4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (- (* z y3) (* x y2)))
        (t_3 (- (* j y3) (* k y2)))
        (t_4 (- (* x j) (* z k)))
        (t_5 (* (* c i) (- (* z t) (* x y))))
        (t_6 (- (* i y1) (* b y0)))
        (t_7 (- (* y1 y4) (* y0 y5)))
        (t_8
         (*
          k
          (+
           (* y (- (* i y5) (* b y4)))
           (+ (* z (- (* b y0) (* i y1))) (* y2 t_7)))))
        (t_9 (* j t_6))
        (t_10 (- (* t y2) (* y y3))))
   (if (<= c -9.6e+177)
     t_5
     (if (<= c -4.2e-159)
       (*
        j
        (+
         (* y3 (- (* y0 y5) (* y1 y4)))
         (+ (* t (- (* b y4) (* i y5))) (* x t_6))))
       (if (<= c 8e-288)
         t_8
         (if (<= c 2.3e-256)
           (* x t_9)
           (if (<= c 3.7e-232)
             t_8
             (if (<= c 5.4e-215)
               (* y5 (+ (* i (- (* y k) (* t j))) (+ (* a t_10) (* y0 t_3))))
               (if (<= c 3e-123)
                 (* y2 (+ (+ (* x t_1) (* k t_7)) (* t (- (* a y5) (* c y4)))))
                 (if (<= c 8.2e-82)
                   (*
                    a
                    (+ (* b (- (* x y) (* z t))) (+ (* y1 t_2) (* y5 t_10))))
                   (if (<= c 3.5e+26)
                     (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_1)) t_9))
                     (if (<= c 1.62e+63)
                       (*
                        y1
                        (+
                         (* y4 (- (* k y2) (* j y3)))
                         (+ (* i t_4) (* a t_2))))
                       (if (<= c 3.1e+232)
                         (*
                          y0
                          (+
                           (* c (- (* x y2) (* z y3)))
                           (- (* y5 t_3) (* b t_4))))
                         t_5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = (z * y3) - (x * y2);
	double t_3 = (j * y3) - (k * y2);
	double t_4 = (x * j) - (z * k);
	double t_5 = (c * i) * ((z * t) - (x * y));
	double t_6 = (i * y1) - (b * y0);
	double t_7 = (y1 * y4) - (y0 * y5);
	double t_8 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_7)));
	double t_9 = j * t_6;
	double t_10 = (t * y2) - (y * y3);
	double tmp;
	if (c <= -9.6e+177) {
		tmp = t_5;
	} else if (c <= -4.2e-159) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_6)));
	} else if (c <= 8e-288) {
		tmp = t_8;
	} else if (c <= 2.3e-256) {
		tmp = x * t_9;
	} else if (c <= 3.7e-232) {
		tmp = t_8;
	} else if (c <= 5.4e-215) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_10) + (y0 * t_3)));
	} else if (c <= 3e-123) {
		tmp = y2 * (((x * t_1) + (k * t_7)) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 8.2e-82) {
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_2) + (y5 * t_10)));
	} else if (c <= 3.5e+26) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + t_9);
	} else if (c <= 1.62e+63) {
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_4) + (a * t_2)));
	} else if (c <= 3.1e+232) {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * t_3) - (b * t_4)));
	} else {
		tmp = t_5;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = (z * y3) - (x * y2)
    t_3 = (j * y3) - (k * y2)
    t_4 = (x * j) - (z * k)
    t_5 = (c * i) * ((z * t) - (x * y))
    t_6 = (i * y1) - (b * y0)
    t_7 = (y1 * y4) - (y0 * y5)
    t_8 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_7)))
    t_9 = j * t_6
    t_10 = (t * y2) - (y * y3)
    if (c <= (-9.6d+177)) then
        tmp = t_5
    else if (c <= (-4.2d-159)) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_6)))
    else if (c <= 8d-288) then
        tmp = t_8
    else if (c <= 2.3d-256) then
        tmp = x * t_9
    else if (c <= 3.7d-232) then
        tmp = t_8
    else if (c <= 5.4d-215) then
        tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_10) + (y0 * t_3)))
    else if (c <= 3d-123) then
        tmp = y2 * (((x * t_1) + (k * t_7)) + (t * ((a * y5) - (c * y4))))
    else if (c <= 8.2d-82) then
        tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_2) + (y5 * t_10)))
    else if (c <= 3.5d+26) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + t_9)
    else if (c <= 1.62d+63) then
        tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_4) + (a * t_2)))
    else if (c <= 3.1d+232) then
        tmp = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * t_3) - (b * t_4)))
    else
        tmp = t_5
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = (z * y3) - (x * y2);
	double t_3 = (j * y3) - (k * y2);
	double t_4 = (x * j) - (z * k);
	double t_5 = (c * i) * ((z * t) - (x * y));
	double t_6 = (i * y1) - (b * y0);
	double t_7 = (y1 * y4) - (y0 * y5);
	double t_8 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_7)));
	double t_9 = j * t_6;
	double t_10 = (t * y2) - (y * y3);
	double tmp;
	if (c <= -9.6e+177) {
		tmp = t_5;
	} else if (c <= -4.2e-159) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_6)));
	} else if (c <= 8e-288) {
		tmp = t_8;
	} else if (c <= 2.3e-256) {
		tmp = x * t_9;
	} else if (c <= 3.7e-232) {
		tmp = t_8;
	} else if (c <= 5.4e-215) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_10) + (y0 * t_3)));
	} else if (c <= 3e-123) {
		tmp = y2 * (((x * t_1) + (k * t_7)) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 8.2e-82) {
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_2) + (y5 * t_10)));
	} else if (c <= 3.5e+26) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + t_9);
	} else if (c <= 1.62e+63) {
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_4) + (a * t_2)));
	} else if (c <= 3.1e+232) {
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * t_3) - (b * t_4)));
	} else {
		tmp = t_5;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = (z * y3) - (x * y2)
	t_3 = (j * y3) - (k * y2)
	t_4 = (x * j) - (z * k)
	t_5 = (c * i) * ((z * t) - (x * y))
	t_6 = (i * y1) - (b * y0)
	t_7 = (y1 * y4) - (y0 * y5)
	t_8 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_7)))
	t_9 = j * t_6
	t_10 = (t * y2) - (y * y3)
	tmp = 0
	if c <= -9.6e+177:
		tmp = t_5
	elif c <= -4.2e-159:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_6)))
	elif c <= 8e-288:
		tmp = t_8
	elif c <= 2.3e-256:
		tmp = x * t_9
	elif c <= 3.7e-232:
		tmp = t_8
	elif c <= 5.4e-215:
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_10) + (y0 * t_3)))
	elif c <= 3e-123:
		tmp = y2 * (((x * t_1) + (k * t_7)) + (t * ((a * y5) - (c * y4))))
	elif c <= 8.2e-82:
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_2) + (y5 * t_10)))
	elif c <= 3.5e+26:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + t_9)
	elif c <= 1.62e+63:
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_4) + (a * t_2)))
	elif c <= 3.1e+232:
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * t_3) - (b * t_4)))
	else:
		tmp = t_5
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(Float64(z * y3) - Float64(x * y2))
	t_3 = Float64(Float64(j * y3) - Float64(k * y2))
	t_4 = Float64(Float64(x * j) - Float64(z * k))
	t_5 = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)))
	t_6 = Float64(Float64(i * y1) - Float64(b * y0))
	t_7 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_8 = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(y2 * t_7))))
	t_9 = Float64(j * t_6)
	t_10 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (c <= -9.6e+177)
		tmp = t_5;
	elseif (c <= -4.2e-159)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * t_6))));
	elseif (c <= 8e-288)
		tmp = t_8;
	elseif (c <= 2.3e-256)
		tmp = Float64(x * t_9);
	elseif (c <= 3.7e-232)
		tmp = t_8;
	elseif (c <= 5.4e-215)
		tmp = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(a * t_10) + Float64(y0 * t_3))));
	elseif (c <= 3e-123)
		tmp = Float64(y2 * Float64(Float64(Float64(x * t_1) + Float64(k * t_7)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (c <= 8.2e-82)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(y1 * t_2) + Float64(y5 * t_10))));
	elseif (c <= 3.5e+26)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_1)) + t_9));
	elseif (c <= 1.62e+63)
		tmp = Float64(y1 * Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(Float64(i * t_4) + Float64(a * t_2))));
	elseif (c <= 3.1e+232)
		tmp = Float64(y0 * Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(Float64(y5 * t_3) - Float64(b * t_4))));
	else
		tmp = t_5;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = (z * y3) - (x * y2);
	t_3 = (j * y3) - (k * y2);
	t_4 = (x * j) - (z * k);
	t_5 = (c * i) * ((z * t) - (x * y));
	t_6 = (i * y1) - (b * y0);
	t_7 = (y1 * y4) - (y0 * y5);
	t_8 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_7)));
	t_9 = j * t_6;
	t_10 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (c <= -9.6e+177)
		tmp = t_5;
	elseif (c <= -4.2e-159)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_6)));
	elseif (c <= 8e-288)
		tmp = t_8;
	elseif (c <= 2.3e-256)
		tmp = x * t_9;
	elseif (c <= 3.7e-232)
		tmp = t_8;
	elseif (c <= 5.4e-215)
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_10) + (y0 * t_3)));
	elseif (c <= 3e-123)
		tmp = y2 * (((x * t_1) + (k * t_7)) + (t * ((a * y5) - (c * y4))));
	elseif (c <= 8.2e-82)
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * t_2) + (y5 * t_10)));
	elseif (c <= 3.5e+26)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + t_9);
	elseif (c <= 1.62e+63)
		tmp = y1 * ((y4 * ((k * y2) - (j * y3))) + ((i * t_4) + (a * t_2)));
	elseif (c <= 3.1e+232)
		tmp = y0 * ((c * ((x * y2) - (z * y3))) + ((y5 * t_3) - (b * t_4)));
	else
		tmp = t_5;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(j * t$95$6), $MachinePrecision]}, Block[{t$95$10 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -9.6e+177], t$95$5, If[LessEqual[c, -4.2e-159], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 8e-288], t$95$8, If[LessEqual[c, 2.3e-256], N[(x * t$95$9), $MachinePrecision], If[LessEqual[c, 3.7e-232], t$95$8, If[LessEqual[c, 5.4e-215], N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * t$95$10), $MachinePrecision] + N[(y0 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3e-123], N[(y2 * N[(N[(N[(x * t$95$1), $MachinePrecision] + N[(k * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 8.2e-82], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y1 * t$95$2), $MachinePrecision] + N[(y5 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.5e+26], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$9), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.62e+63], N[(y1 * N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$4), $MachinePrecision] + N[(a * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.1e+232], N[(y0 * N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * t$95$3), $MachinePrecision] - N[(b * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$5]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if c < -9.6000000000000001e177 or 3.09999999999999983e232 < c

   1. Initial program 30.0%

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

   3. Simplified 30.0%

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

   4. Taylor expanded in c around inf 61.3%

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

      1. associate--l+ 61.3%

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

      2. *-commutative 61.3%

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

      3. mul-1-neg 61.3%

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

      4. *-commutative 61.3%

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

      5. *-commutative 61.3%

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

   6. Simplified 61.3%

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

   7. Taylor expanded in i around inf 63.9%

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

      1. associate-*r* 67.7%

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

      2. *-commutative 67.7%

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

      3. *-commutative 67.7%

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

   9. Simplified 67.7%

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

   if -9.6000000000000001e177 < c < -4.1999999999999998e-159

   1. Initial program 37.1%

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

   3. Simplified 37.1%

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

   4. Taylor expanded in j around inf 55.2%

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

      1. associate--l+ 55.2%

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

      2. mul-1-neg 55.2%

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

      3. *-commutative 55.2%

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

      4. *-commutative 55.2%

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

      5. *-commutative 55.2%

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

   6. Simplified 55.2%

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

   if -4.1999999999999998e-159 < c < 8.00000000000000046e-288 or 2.3e-256 < c < 3.69999999999999979e-232

   1. Initial program 33.7%

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

   3. Simplified 33.7%

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

   4. Taylor expanded in k around inf 62.5%

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

      1. mul-1-neg 62.5%

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

      2. *-commutative 62.5%

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

      3. *-commutative 62.5%

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

      4. *-commutative 62.5%

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

      5. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if 8.00000000000000046e-288 < c < 2.3e-256

   1. Initial program 42.9%

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

   3. Simplified 42.9%

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

   4. Taylor expanded in x around inf 85.8%

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

   5. Taylor expanded in j around inf 85.9%

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

   if 3.69999999999999979e-232 < c < 5.40000000000000035e-215

   1. Initial program 28.6%

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

   3. Simplified 28.6%

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

   4. Taylor expanded in y5 around -inf 72.8%

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

      1. mul-1-neg 72.8%

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

      2. associate--l+ 72.8%

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

      3. *-commutative 72.8%

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

   6. Simplified 72.8%

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

   if 5.40000000000000035e-215 < c < 2.99999999999999984e-123

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in y2 around inf 71.4%

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

   if 2.99999999999999984e-123 < c < 8.19999999999999992e-82

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in a around inf 54.7%

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

      1. *-commutative 54.7%

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

      2. associate--l+ 54.7%

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

      3. associate-*r* 54.7%

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

      4. *-commutative 54.7%

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

      5. associate-*r* 54.7%

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

   6. Simplified 54.7%

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

   if 8.19999999999999992e-82 < c < 3.4999999999999999e26

   1. Initial program 35.7%

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

   3. Simplified 35.7%

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

   4. Taylor expanded in x around inf 65.2%

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

   if 3.4999999999999999e26 < c < 1.62e63

   1. Initial program 50.0%

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

   3. Simplified 50.0%

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

   4. Taylor expanded in y1 around inf 87.5%

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

      1. associate--l+ 87.5%

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

      2. *-commutative 87.5%

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

      3. *-commutative 87.5%

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

      4. *-commutative 87.5%

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

      5. sub-neg 87.5%

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

      6. mul-1-neg 87.5%

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

      7. distribute-lft-out-- 87.5%

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

   6. Simplified 87.5%

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

   if 1.62e63 < c < 3.09999999999999983e232

   1. Initial program 16.4%

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

   3. Simplified 32.5%

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

   4. Taylor expanded in y0 around inf 61.8%

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

      1. *-commutative 61.8%

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

      2. *-commutative 61.8%

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

      3. mul-1-neg 61.8%

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

      4. *-commutative 61.8%

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

      5. *-commutative 61.8%

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

   6. Simplified 61.8%

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

4. Final simplification 63.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -9.6 \cdot 10^{+177}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-288}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-256}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 3.7 \cdot 10^{-232}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-215}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;c \leq 3 \cdot 10^{-123}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot \left(c \cdot y0 - a \cdot y1\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 8.2 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{+26}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.62 \cdot 10^{+63}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \left(i \cdot \left(x \cdot j - z \cdot k\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{+232}:\\ \;\;\;\;y0 \cdot \left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]

Alternative 9: 32.2% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_2 := z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ t_3 := \left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{if}\;b \leq -1.26 \cdot 10^{+197}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{-35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.45 \cdot 10^{-89}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.12 \cdot 10^{-164}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -8 \cdot 10^{-212}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;b \leq 4.3 \cdot 10^{-305}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 85000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 3 \cdot 10^{+40}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{+72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+172}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y4
          (+
           (+ (* y1 (- (* k y2) (* j y3))) (* b (- (* t j) (* y k))))
           (* c (- (* y y3) (* t y2))))))
        (t_2 (* z (* b (- (* k y0) (* t a)))))
        (t_3 (* (- (* t c) (* k y1)) (* z i))))
   (if (<= b -1.26e+197)
     t_2
     (if (<= b -1.2e-35)
       t_1
       (if (<= b -1.45e-89)
         (* y1 (* i (* x j)))
         (if (<= b -1.12e-164)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= b -8e-212)
             (* (* c i) (- (* z t) (* x y)))
             (if (<= b 4.3e-305)
               (* a (* y5 (- (* t y2) (* y y3))))
               (if (<= b 85000.0)
                 t_3
                 (if (<= b 3e+40)
                   (* x (* j (- (* i y1) (* b y0))))
                   (if (<= b 6.8e+72)
                     t_3
                     (if (<= b 7.5e+172) t_1 t_2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	double t_2 = z * (b * ((k * y0) - (t * a)));
	double t_3 = ((t * c) - (k * y1)) * (z * i);
	double tmp;
	if (b <= -1.26e+197) {
		tmp = t_2;
	} else if (b <= -1.2e-35) {
		tmp = t_1;
	} else if (b <= -1.45e-89) {
		tmp = y1 * (i * (x * j));
	} else if (b <= -1.12e-164) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= -8e-212) {
		tmp = (c * i) * ((z * t) - (x * y));
	} else if (b <= 4.3e-305) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= 85000.0) {
		tmp = t_3;
	} else if (b <= 3e+40) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else if (b <= 6.8e+72) {
		tmp = t_3;
	} else if (b <= 7.5e+172) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))))
    t_2 = z * (b * ((k * y0) - (t * a)))
    t_3 = ((t * c) - (k * y1)) * (z * i)
    if (b <= (-1.26d+197)) then
        tmp = t_2
    else if (b <= (-1.2d-35)) then
        tmp = t_1
    else if (b <= (-1.45d-89)) then
        tmp = y1 * (i * (x * j))
    else if (b <= (-1.12d-164)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= (-8d-212)) then
        tmp = (c * i) * ((z * t) - (x * y))
    else if (b <= 4.3d-305) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (b <= 85000.0d0) then
        tmp = t_3
    else if (b <= 3d+40) then
        tmp = x * (j * ((i * y1) - (b * y0)))
    else if (b <= 6.8d+72) then
        tmp = t_3
    else if (b <= 7.5d+172) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	double t_2 = z * (b * ((k * y0) - (t * a)));
	double t_3 = ((t * c) - (k * y1)) * (z * i);
	double tmp;
	if (b <= -1.26e+197) {
		tmp = t_2;
	} else if (b <= -1.2e-35) {
		tmp = t_1;
	} else if (b <= -1.45e-89) {
		tmp = y1 * (i * (x * j));
	} else if (b <= -1.12e-164) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= -8e-212) {
		tmp = (c * i) * ((z * t) - (x * y));
	} else if (b <= 4.3e-305) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (b <= 85000.0) {
		tmp = t_3;
	} else if (b <= 3e+40) {
		tmp = x * (j * ((i * y1) - (b * y0)));
	} else if (b <= 6.8e+72) {
		tmp = t_3;
	} else if (b <= 7.5e+172) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))))
	t_2 = z * (b * ((k * y0) - (t * a)))
	t_3 = ((t * c) - (k * y1)) * (z * i)
	tmp = 0
	if b <= -1.26e+197:
		tmp = t_2
	elif b <= -1.2e-35:
		tmp = t_1
	elif b <= -1.45e-89:
		tmp = y1 * (i * (x * j))
	elif b <= -1.12e-164:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= -8e-212:
		tmp = (c * i) * ((z * t) - (x * y))
	elif b <= 4.3e-305:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif b <= 85000.0:
		tmp = t_3
	elif b <= 3e+40:
		tmp = x * (j * ((i * y1) - (b * y0)))
	elif b <= 6.8e+72:
		tmp = t_3
	elif b <= 7.5e+172:
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y4 * Float64(Float64(Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_2 = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))))
	t_3 = Float64(Float64(Float64(t * c) - Float64(k * y1)) * Float64(z * i))
	tmp = 0.0
	if (b <= -1.26e+197)
		tmp = t_2;
	elseif (b <= -1.2e-35)
		tmp = t_1;
	elseif (b <= -1.45e-89)
		tmp = Float64(y1 * Float64(i * Float64(x * j)));
	elseif (b <= -1.12e-164)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= -8e-212)
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)));
	elseif (b <= 4.3e-305)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (b <= 85000.0)
		tmp = t_3;
	elseif (b <= 3e+40)
		tmp = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (b <= 6.8e+72)
		tmp = t_3;
	elseif (b <= 7.5e+172)
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	t_2 = z * (b * ((k * y0) - (t * a)));
	t_3 = ((t * c) - (k * y1)) * (z * i);
	tmp = 0.0;
	if (b <= -1.26e+197)
		tmp = t_2;
	elseif (b <= -1.2e-35)
		tmp = t_1;
	elseif (b <= -1.45e-89)
		tmp = y1 * (i * (x * j));
	elseif (b <= -1.12e-164)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= -8e-212)
		tmp = (c * i) * ((z * t) - (x * y));
	elseif (b <= 4.3e-305)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (b <= 85000.0)
		tmp = t_3;
	elseif (b <= 3e+40)
		tmp = x * (j * ((i * y1) - (b * y0)));
	elseif (b <= 6.8e+72)
		tmp = t_3;
	elseif (b <= 7.5e+172)
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y4 * N[(N[(N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision] * N[(z * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.26e+197], t$95$2, If[LessEqual[b, -1.2e-35], t$95$1, If[LessEqual[b, -1.45e-89], N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.12e-164], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8e-212], N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.3e-305], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 85000.0], t$95$3, If[LessEqual[b, 3e+40], N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.8e+72], t$95$3, If[LessEqual[b, 7.5e+172], t$95$1, t$95$2]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if b < -1.26e197 or 7.4999999999999994e172 < b

   1. Initial program 19.3%

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

   3. Simplified 19.3%

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

   4. Taylor expanded in z around -inf 38.3%

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

   5. Taylor expanded in b around inf 65.9%

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

   if -1.26e197 < b < -1.2000000000000001e-35 or 6.7999999999999997e72 < b < 7.4999999999999994e172

   1. Initial program 32.1%

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

   3. Simplified 32.1%

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

   4. Taylor expanded in y4 around inf 53.3%

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

   if -1.2000000000000001e-35 < b < -1.44999999999999996e-89

   1. Initial program 16.7%

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

   3. Simplified 16.7%

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

   4. Taylor expanded in j around inf 51.1%

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

      1. associate--l+ 51.1%

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

      2. mul-1-neg 51.1%

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

      3. *-commutative 51.1%

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

      4. *-commutative 51.1%

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

      5. *-commutative 51.1%

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

   6. Simplified 51.1%

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

   7. Taylor expanded in i around -inf 51.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 51.4%

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

      2. neg-mul-1 51.4%

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

      3. *-commutative 51.4%

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

      4. *-commutative 51.4%

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

   9. Simplified 51.4%

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

   10. Taylor expanded in t around 0 59.7%

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

   if -1.44999999999999996e-89 < b < -1.12e-164

   1. Initial program 38.5%

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

   3. Simplified 38.5%

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

   4. Taylor expanded in c around inf 47.5%

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

      1. associate--l+ 47.5%

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

      2. *-commutative 47.5%

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

      3. mul-1-neg 47.5%

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

      4. *-commutative 47.5%

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

      5. *-commutative 47.5%

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

   6. Simplified 47.5%

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

   7. Taylor expanded in y0 around -inf 70.2%

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

   if -1.12e-164 < b < -7.99999999999999963e-212

   1. Initial program 38.0%

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

   3. Simplified 38.0%

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

   4. Taylor expanded in c around inf 87.5%

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

      1. associate--l+ 87.5%

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

      2. *-commutative 87.5%

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

      3. mul-1-neg 87.5%

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

      4. *-commutative 87.5%

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

      5. *-commutative 87.5%

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

   6. Simplified 87.5%

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

   7. Taylor expanded in i around inf 75.5%

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

      1. associate-*r* 75.5%

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

      2. *-commutative 75.5%

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

      3. *-commutative 75.5%

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

   9. Simplified 75.5%

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

   if -7.99999999999999963e-212 < b < 4.3000000000000002e-305

   1. Initial program 28.2%

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

   3. Simplified 28.2%

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

   4. Taylor expanded in y5 around inf 39.6%

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

      1. mul-1-neg 39.6%

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

   6. Simplified 39.6%

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

   7. Taylor expanded in a around inf 56.0%

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

      1. *-commutative 56.0%

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

      2. *-commutative 56.0%

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

   9. Simplified 56.0%

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

   if 4.3000000000000002e-305 < b < 85000 or 3.0000000000000002e40 < b < 6.7999999999999997e72

   1. Initial program 42.6%

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

   3. Simplified 42.6%

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

   4. Taylor expanded in z around -inf 56.6%

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

   5. Taylor expanded in i around -inf 49.3%

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

   if 85000 < b < 3.0000000000000002e40

   1. Initial program 33.3%

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

   3. Simplified 33.3%

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

   4. Taylor expanded in x around inf 56.0%

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

   5. Taylor expanded in j around inf 57.6%

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

4. Final simplification 57.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.26 \cdot 10^{+197}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{-35}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -1.45 \cdot 10^{-89}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.12 \cdot 10^{-164}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -8 \cdot 10^{-212}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;b \leq 4.3 \cdot 10^{-305}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 85000:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{elif}\;b \leq 3 \cdot 10^{+40}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 6.8 \cdot 10^{+72}:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+172}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \end{array} \]

Alternative 10: 40.1% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot t_2\right)\right)\\ t_4 := z \cdot t - x \cdot y\\ t_5 := c \cdot y0 - a \cdot y1\\ t_6 := j \cdot t_1\\ t_7 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;c \leq -5 \cdot 10^{+177}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t_4\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot t_1\right)\right)\\ \mathbf{elif}\;c \leq 2.25 \cdot 10^{-290}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 4.1 \cdot 10^{-256}:\\ \;\;\;\;x \cdot t_6\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{-209}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot t_7 + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;c \leq 2 \cdot 10^{-123}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot t_5 + k \cdot t_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + y5 \cdot t_7\right)\right)\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_5\right) + t_6\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot t_4 + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3
         (*
          k
          (+
           (* y (- (* i y5) (* b y4)))
           (+ (* z (- (* b y0) (* i y1))) (* y2 t_2)))))
        (t_4 (- (* z t) (* x y)))
        (t_5 (- (* c y0) (* a y1)))
        (t_6 (* j t_1))
        (t_7 (- (* t y2) (* y y3))))
   (if (<= c -5e+177)
     (* (* c i) t_4)
     (if (<= c -7.2e-159)
       (*
        j
        (+
         (* y3 (- (* y0 y5) (* y1 y4)))
         (+ (* t (- (* b y4) (* i y5))) (* x t_1))))
       (if (<= c 2.25e-290)
         t_3
         (if (<= c 4.1e-256)
           (* x t_6)
           (if (<= c 4.4e-232)
             t_3
             (if (<= c 1.55e-209)
               (*
                y5
                (+
                 (* i (- (* y k) (* t j)))
                 (+ (* a t_7) (* y0 (- (* j y3) (* k y2))))))
               (if (<= c 2e-123)
                 (* y2 (+ (+ (* x t_5) (* k t_2)) (* t (- (* a y5) (* c y4)))))
                 (if (<= c 7.5e-82)
                   (*
                    a
                    (+
                     (* b (- (* x y) (* z t)))
                     (+ (* y1 (- (* z y3) (* x y2))) (* y5 t_7))))
                   (if (<= c 4.3e+27)
                     (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_5)) t_6))
                     (*
                      c
                      (+
                       (* i t_4)
                       (+
                        (* y0 (- (* x y2) (* z y3)))
                        (* y4 (- (* y y3) (* t y2)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_2)));
	double t_4 = (z * t) - (x * y);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = j * t_1;
	double t_7 = (t * y2) - (y * y3);
	double tmp;
	if (c <= -5e+177) {
		tmp = (c * i) * t_4;
	} else if (c <= -7.2e-159) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_1)));
	} else if (c <= 2.25e-290) {
		tmp = t_3;
	} else if (c <= 4.1e-256) {
		tmp = x * t_6;
	} else if (c <= 4.4e-232) {
		tmp = t_3;
	} else if (c <= 1.55e-209) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_7) + (y0 * ((j * y3) - (k * y2)))));
	} else if (c <= 2e-123) {
		tmp = y2 * (((x * t_5) + (k * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 7.5e-82) {
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * ((z * y3) - (x * y2))) + (y5 * t_7)));
	} else if (c <= 4.3e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + t_6);
	} else {
		tmp = c * ((i * t_4) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_2)))
    t_4 = (z * t) - (x * y)
    t_5 = (c * y0) - (a * y1)
    t_6 = j * t_1
    t_7 = (t * y2) - (y * y3)
    if (c <= (-5d+177)) then
        tmp = (c * i) * t_4
    else if (c <= (-7.2d-159)) then
        tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_1)))
    else if (c <= 2.25d-290) then
        tmp = t_3
    else if (c <= 4.1d-256) then
        tmp = x * t_6
    else if (c <= 4.4d-232) then
        tmp = t_3
    else if (c <= 1.55d-209) then
        tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_7) + (y0 * ((j * y3) - (k * y2)))))
    else if (c <= 2d-123) then
        tmp = y2 * (((x * t_5) + (k * t_2)) + (t * ((a * y5) - (c * y4))))
    else if (c <= 7.5d-82) then
        tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * ((z * y3) - (x * y2))) + (y5 * t_7)))
    else if (c <= 4.3d+27) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + t_6)
    else
        tmp = c * ((i * t_4) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_2)));
	double t_4 = (z * t) - (x * y);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = j * t_1;
	double t_7 = (t * y2) - (y * y3);
	double tmp;
	if (c <= -5e+177) {
		tmp = (c * i) * t_4;
	} else if (c <= -7.2e-159) {
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_1)));
	} else if (c <= 2.25e-290) {
		tmp = t_3;
	} else if (c <= 4.1e-256) {
		tmp = x * t_6;
	} else if (c <= 4.4e-232) {
		tmp = t_3;
	} else if (c <= 1.55e-209) {
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_7) + (y0 * ((j * y3) - (k * y2)))));
	} else if (c <= 2e-123) {
		tmp = y2 * (((x * t_5) + (k * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 7.5e-82) {
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * ((z * y3) - (x * y2))) + (y5 * t_7)));
	} else if (c <= 4.3e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + t_6);
	} else {
		tmp = c * ((i * t_4) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_2)))
	t_4 = (z * t) - (x * y)
	t_5 = (c * y0) - (a * y1)
	t_6 = j * t_1
	t_7 = (t * y2) - (y * y3)
	tmp = 0
	if c <= -5e+177:
		tmp = (c * i) * t_4
	elif c <= -7.2e-159:
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_1)))
	elif c <= 2.25e-290:
		tmp = t_3
	elif c <= 4.1e-256:
		tmp = x * t_6
	elif c <= 4.4e-232:
		tmp = t_3
	elif c <= 1.55e-209:
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_7) + (y0 * ((j * y3) - (k * y2)))))
	elif c <= 2e-123:
		tmp = y2 * (((x * t_5) + (k * t_2)) + (t * ((a * y5) - (c * y4))))
	elif c <= 7.5e-82:
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * ((z * y3) - (x * y2))) + (y5 * t_7)))
	elif c <= 4.3e+27:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + t_6)
	else:
		tmp = c * ((i * t_4) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(y2 * t_2))))
	t_4 = Float64(Float64(z * t) - Float64(x * y))
	t_5 = Float64(Float64(c * y0) - Float64(a * y1))
	t_6 = Float64(j * t_1)
	t_7 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (c <= -5e+177)
		tmp = Float64(Float64(c * i) * t_4);
	elseif (c <= -7.2e-159)
		tmp = Float64(j * Float64(Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * t_1))));
	elseif (c <= 2.25e-290)
		tmp = t_3;
	elseif (c <= 4.1e-256)
		tmp = Float64(x * t_6);
	elseif (c <= 4.4e-232)
		tmp = t_3;
	elseif (c <= 1.55e-209)
		tmp = Float64(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(a * t_7) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (c <= 2e-123)
		tmp = Float64(y2 * Float64(Float64(Float64(x * t_5) + Float64(k * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (c <= 7.5e-82)
		tmp = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y5 * t_7))));
	elseif (c <= 4.3e+27)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_5)) + t_6));
	else
		tmp = Float64(c * Float64(Float64(i * t_4) + Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_2)));
	t_4 = (z * t) - (x * y);
	t_5 = (c * y0) - (a * y1);
	t_6 = j * t_1;
	t_7 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (c <= -5e+177)
		tmp = (c * i) * t_4;
	elseif (c <= -7.2e-159)
		tmp = j * ((y3 * ((y0 * y5) - (y1 * y4))) + ((t * ((b * y4) - (i * y5))) + (x * t_1)));
	elseif (c <= 2.25e-290)
		tmp = t_3;
	elseif (c <= 4.1e-256)
		tmp = x * t_6;
	elseif (c <= 4.4e-232)
		tmp = t_3;
	elseif (c <= 1.55e-209)
		tmp = y5 * ((i * ((y * k) - (t * j))) + ((a * t_7) + (y0 * ((j * y3) - (k * y2)))));
	elseif (c <= 2e-123)
		tmp = y2 * (((x * t_5) + (k * t_2)) + (t * ((a * y5) - (c * y4))));
	elseif (c <= 7.5e-82)
		tmp = a * ((b * ((x * y) - (z * t))) + ((y1 * ((z * y3) - (x * y2))) + (y5 * t_7)));
	elseif (c <= 4.3e+27)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + t_6);
	else
		tmp = c * ((i * t_4) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(j * t$95$1), $MachinePrecision]}, Block[{t$95$7 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -5e+177], N[(N[(c * i), $MachinePrecision] * t$95$4), $MachinePrecision], If[LessEqual[c, -7.2e-159], N[(j * N[(N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.25e-290], t$95$3, If[LessEqual[c, 4.1e-256], N[(x * t$95$6), $MachinePrecision], If[LessEqual[c, 4.4e-232], t$95$3, If[LessEqual[c, 1.55e-209], N[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * t$95$7), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2e-123], N[(y2 * N[(N[(N[(x * t$95$5), $MachinePrecision] + N[(k * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 7.5e-82], N[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4.3e+27], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$5), $MachinePrecision]), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(i * t$95$4), $MachinePrecision] + N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if c < -5.0000000000000003e177

   1. Initial program 31.0%

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

   3. Simplified 31.0%

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

   4. Taylor expanded in c around inf 67.6%

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

      1. associate--l+ 67.6%

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

      2. *-commutative 67.6%

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

      3. mul-1-neg 67.6%

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

      4. *-commutative 67.6%

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

      5. *-commutative 67.6%

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

   6. Simplified 67.6%

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

   7. Taylor expanded in i around inf 71.7%

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

      1. associate-*r* 74.9%

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

      2. *-commutative 74.9%

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

      3. *-commutative 74.9%

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

   9. Simplified 74.9%

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

   if -5.0000000000000003e177 < c < -7.20000000000000042e-159

   1. Initial program 37.1%

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

   3. Simplified 37.1%

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

   4. Taylor expanded in j around inf 55.2%

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

      1. associate--l+ 55.2%

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

      2. mul-1-neg 55.2%

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

      3. *-commutative 55.2%

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

      4. *-commutative 55.2%

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

      5. *-commutative 55.2%

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

   6. Simplified 55.2%

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

   if -7.20000000000000042e-159 < c < 2.25e-290 or 4.1e-256 < c < 4.40000000000000004e-232

   1. Initial program 33.7%

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

   3. Simplified 33.7%

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

   4. Taylor expanded in k around inf 62.5%

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

      1. mul-1-neg 62.5%

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

      2. *-commutative 62.5%

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

      3. *-commutative 62.5%

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

      4. *-commutative 62.5%

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

      5. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if 2.25e-290 < c < 4.1e-256

   1. Initial program 42.9%

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

   3. Simplified 42.9%

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

   4. Taylor expanded in x around inf 85.8%

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

   5. Taylor expanded in j around inf 85.9%

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

   if 4.40000000000000004e-232 < c < 1.55e-209

   1. Initial program 28.6%

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

   3. Simplified 28.6%

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

   4. Taylor expanded in y5 around -inf 72.8%

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

      1. mul-1-neg 72.8%

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

      2. associate--l+ 72.8%

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

      3. *-commutative 72.8%

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

   6. Simplified 72.8%

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

   if 1.55e-209 < c < 2.0000000000000001e-123

   1. Initial program 30.8%

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

   3. Simplified 30.8%

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

   4. Taylor expanded in y2 around inf 71.4%

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

   if 2.0000000000000001e-123 < c < 7.4999999999999997e-82

   1. Initial program 15.4%

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

   3. Simplified 15.4%

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

   4. Taylor expanded in a around inf 54.7%

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

      1. *-commutative 54.7%

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

      2. associate--l+ 54.7%

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

      3. associate-*r* 54.7%

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

      4. *-commutative 54.7%

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

      5. associate-*r* 54.7%

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

   6. Simplified 54.7%

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

   if 7.4999999999999997e-82 < c < 4.30000000000000008e27

   1. Initial program 35.7%

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

   3. Simplified 35.7%

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

   4. Taylor expanded in x around inf 65.2%

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

   if 4.30000000000000008e27 < c

   1. Initial program 25.1%

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

   3. Simplified 25.1%

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

   4. Taylor expanded in c around inf 53.7%

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

      1. associate--l+ 53.7%

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

      2. *-commutative 53.7%

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

      3. mul-1-neg 53.7%

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

      4. *-commutative 53.7%

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

      5. *-commutative 53.7%

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

   6. Simplified 53.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 61.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -5 \cdot 10^{+177}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq -7.2 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.25 \cdot 10^{-290}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;c \leq 4.1 \cdot 10^{-256}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-232}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{-209}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;c \leq 2 \cdot 10^{-123}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot \left(c \cdot y0 - a \cdot y1\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-82}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \end{array} \]

Alternative 11: 39.7% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := z \cdot t - x \cdot y\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := i \cdot y1 - b \cdot y0\\ t_5 := j \cdot t_4\\ t_6 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;c \leq -1.25 \cdot 10^{+178}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t_2\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(y3 \cdot t_1 + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot t_4\right)\right)\\ \mathbf{elif}\;c \leq 2.05 \cdot 10^{-286}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot t_6\right)\right)\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-256}:\\ \;\;\;\;x \cdot t_5\\ \mathbf{elif}\;c \leq 7.1 \cdot 10^{-230}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-119}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot t_3 + k \cdot t_6\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 6.8 \cdot 10^{-81}:\\ \;\;\;\;y3 \cdot \left(j \cdot t_1\right)\\ \mathbf{elif}\;c \leq 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_3\right) + t_5\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot t_2 + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (- (* z t) (* x y)))
        (t_3 (- (* c y0) (* a y1)))
        (t_4 (- (* i y1) (* b y0)))
        (t_5 (* j t_4))
        (t_6 (- (* y1 y4) (* y0 y5))))
   (if (<= c -1.25e+178)
     (* (* c i) t_2)
     (if (<= c -3.6e-159)
       (* j (+ (* y3 t_1) (+ (* t (- (* b y4) (* i y5))) (* x t_4))))
       (if (<= c 2.05e-286)
         (*
          k
          (+
           (* y (- (* i y5) (* b y4)))
           (+ (* z (- (* b y0) (* i y1))) (* y2 t_6))))
         (if (<= c 4.2e-256)
           (* x t_5)
           (if (<= c 7.1e-230)
             (* a (* y5 (- (* t y2) (* y y3))))
             (if (<= c 4.5e-119)
               (* y2 (+ (+ (* x t_3) (* k t_6)) (* t (- (* a y5) (* c y4)))))
               (if (<= c 6.8e-81)
                 (* y3 (* j t_1))
                 (if (<= c 1e+27)
                   (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_3)) t_5))
                   (*
                    c
                    (+
                     (* i t_2)
                     (+
                      (* y0 (- (* x y2) (* z y3)))
                      (* y4 (- (* y y3) (* t y2))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (z * t) - (x * y);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (i * y1) - (b * y0);
	double t_5 = j * t_4;
	double t_6 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (c <= -1.25e+178) {
		tmp = (c * i) * t_2;
	} else if (c <= -3.6e-159) {
		tmp = j * ((y3 * t_1) + ((t * ((b * y4) - (i * y5))) + (x * t_4)));
	} else if (c <= 2.05e-286) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_6)));
	} else if (c <= 4.2e-256) {
		tmp = x * t_5;
	} else if (c <= 7.1e-230) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 4.5e-119) {
		tmp = y2 * (((x * t_3) + (k * t_6)) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 6.8e-81) {
		tmp = y3 * (j * t_1);
	} else if (c <= 1e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + t_5);
	} else {
		tmp = c * ((i * t_2) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (y0 * y5) - (y1 * y4)
    t_2 = (z * t) - (x * y)
    t_3 = (c * y0) - (a * y1)
    t_4 = (i * y1) - (b * y0)
    t_5 = j * t_4
    t_6 = (y1 * y4) - (y0 * y5)
    if (c <= (-1.25d+178)) then
        tmp = (c * i) * t_2
    else if (c <= (-3.6d-159)) then
        tmp = j * ((y3 * t_1) + ((t * ((b * y4) - (i * y5))) + (x * t_4)))
    else if (c <= 2.05d-286) then
        tmp = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_6)))
    else if (c <= 4.2d-256) then
        tmp = x * t_5
    else if (c <= 7.1d-230) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (c <= 4.5d-119) then
        tmp = y2 * (((x * t_3) + (k * t_6)) + (t * ((a * y5) - (c * y4))))
    else if (c <= 6.8d-81) then
        tmp = y3 * (j * t_1)
    else if (c <= 1d+27) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + t_5)
    else
        tmp = c * ((i * t_2) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (z * t) - (x * y);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (i * y1) - (b * y0);
	double t_5 = j * t_4;
	double t_6 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (c <= -1.25e+178) {
		tmp = (c * i) * t_2;
	} else if (c <= -3.6e-159) {
		tmp = j * ((y3 * t_1) + ((t * ((b * y4) - (i * y5))) + (x * t_4)));
	} else if (c <= 2.05e-286) {
		tmp = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_6)));
	} else if (c <= 4.2e-256) {
		tmp = x * t_5;
	} else if (c <= 7.1e-230) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 4.5e-119) {
		tmp = y2 * (((x * t_3) + (k * t_6)) + (t * ((a * y5) - (c * y4))));
	} else if (c <= 6.8e-81) {
		tmp = y3 * (j * t_1);
	} else if (c <= 1e+27) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + t_5);
	} else {
		tmp = c * ((i * t_2) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y0 * y5) - (y1 * y4)
	t_2 = (z * t) - (x * y)
	t_3 = (c * y0) - (a * y1)
	t_4 = (i * y1) - (b * y0)
	t_5 = j * t_4
	t_6 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if c <= -1.25e+178:
		tmp = (c * i) * t_2
	elif c <= -3.6e-159:
		tmp = j * ((y3 * t_1) + ((t * ((b * y4) - (i * y5))) + (x * t_4)))
	elif c <= 2.05e-286:
		tmp = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_6)))
	elif c <= 4.2e-256:
		tmp = x * t_5
	elif c <= 7.1e-230:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif c <= 4.5e-119:
		tmp = y2 * (((x * t_3) + (k * t_6)) + (t * ((a * y5) - (c * y4))))
	elif c <= 6.8e-81:
		tmp = y3 * (j * t_1)
	elif c <= 1e+27:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + t_5)
	else:
		tmp = c * ((i * t_2) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(Float64(z * t) - Float64(x * y))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = Float64(Float64(i * y1) - Float64(b * y0))
	t_5 = Float64(j * t_4)
	t_6 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (c <= -1.25e+178)
		tmp = Float64(Float64(c * i) * t_2);
	elseif (c <= -3.6e-159)
		tmp = Float64(j * Float64(Float64(y3 * t_1) + Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(x * t_4))));
	elseif (c <= 2.05e-286)
		tmp = Float64(k * Float64(Float64(y * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(y2 * t_6))));
	elseif (c <= 4.2e-256)
		tmp = Float64(x * t_5);
	elseif (c <= 7.1e-230)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (c <= 4.5e-119)
		tmp = Float64(y2 * Float64(Float64(Float64(x * t_3) + Float64(k * t_6)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (c <= 6.8e-81)
		tmp = Float64(y3 * Float64(j * t_1));
	elseif (c <= 1e+27)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_3)) + t_5));
	else
		tmp = Float64(c * Float64(Float64(i * t_2) + Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y0 * y5) - (y1 * y4);
	t_2 = (z * t) - (x * y);
	t_3 = (c * y0) - (a * y1);
	t_4 = (i * y1) - (b * y0);
	t_5 = j * t_4;
	t_6 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (c <= -1.25e+178)
		tmp = (c * i) * t_2;
	elseif (c <= -3.6e-159)
		tmp = j * ((y3 * t_1) + ((t * ((b * y4) - (i * y5))) + (x * t_4)));
	elseif (c <= 2.05e-286)
		tmp = k * ((y * ((i * y5) - (b * y4))) + ((z * ((b * y0) - (i * y1))) + (y2 * t_6)));
	elseif (c <= 4.2e-256)
		tmp = x * t_5;
	elseif (c <= 7.1e-230)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (c <= 4.5e-119)
		tmp = y2 * (((x * t_3) + (k * t_6)) + (t * ((a * y5) - (c * y4))));
	elseif (c <= 6.8e-81)
		tmp = y3 * (j * t_1);
	elseif (c <= 1e+27)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_3)) + t_5);
	else
		tmp = c * ((i * t_2) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(j * t$95$4), $MachinePrecision]}, Block[{t$95$6 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -1.25e+178], N[(N[(c * i), $MachinePrecision] * t$95$2), $MachinePrecision], If[LessEqual[c, -3.6e-159], N[(j * N[(N[(y3 * t$95$1), $MachinePrecision] + N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.05e-286], N[(k * N[(N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4.2e-256], N[(x * t$95$5), $MachinePrecision], If[LessEqual[c, 7.1e-230], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4.5e-119], N[(y2 * N[(N[(N[(x * t$95$3), $MachinePrecision] + N[(k * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 6.8e-81], N[(y3 * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1e+27], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(i * t$95$2), $MachinePrecision] + N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if c < -1.24999999999999998e178

   1. Initial program 31.0%

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

   3. Simplified 31.0%

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

   4. Taylor expanded in c around inf 67.6%

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

      1. associate--l+ 67.6%

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

      2. *-commutative 67.6%

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

      3. mul-1-neg 67.6%

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

      4. *-commutative 67.6%

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

      5. *-commutative 67.6%

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

   6. Simplified 67.6%

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

   7. Taylor expanded in i around inf 71.7%

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

      1. associate-*r* 74.9%

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

      2. *-commutative 74.9%

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

      3. *-commutative 74.9%

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

   9. Simplified 74.9%

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

   if -1.24999999999999998e178 < c < -3.60000000000000021e-159

   1. Initial program 37.1%

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

   3. Simplified 37.1%

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

   4. Taylor expanded in j around inf 55.2%

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

      1. associate--l+ 55.2%

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

      2. mul-1-neg 55.2%

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

      3. *-commutative 55.2%

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

      4. *-commutative 55.2%

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

      5. *-commutative 55.2%

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

   6. Simplified 55.2%

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

   if -3.60000000000000021e-159 < c < 2.05e-286

   1. Initial program 29.1%

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

   3. Simplified 29.1%

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

   4. Taylor expanded in k around inf 60.5%

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

      1. mul-1-neg 60.5%

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

      2. *-commutative 60.5%

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

      3. *-commutative 60.5%

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

      4. *-commutative 60.5%

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

      5. *-commutative 60.5%

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

   6. Simplified 60.5%

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

   if 2.05e-286 < c < 4.20000000000000005e-256

   1. Initial program 42.9%

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

   3. Simplified 42.9%

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

   4. Taylor expanded in x around inf 85.8%

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

   5. Taylor expanded in j around inf 85.9%

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

   if 4.20000000000000005e-256 < c < 7.10000000000000018e-230

   1. Initial program 40.0%

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

   3. Simplified 40.0%

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

   4. Taylor expanded in y5 around inf 30.0%

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

      1. mul-1-neg 30.0%

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

   6. Simplified 30.0%

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

   7. Taylor expanded in a around inf 60.3%

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

      1. *-commutative 60.3%

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

      2. *-commutative 60.3%

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

   9. Simplified 60.3%

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

   if 7.10000000000000018e-230 < c < 4.5000000000000003e-119

   1. Initial program 31.7%

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

   3. Simplified 31.7%

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

   4. Taylor expanded in y2 around inf 69.6%

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

   if 4.5000000000000003e-119 < c < 6.7999999999999997e-81

   1. Initial program 18.2%

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

   3. Simplified 18.2%

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

   4. Taylor expanded in j around inf 36.7%

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

      1. associate--l+ 36.7%

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

      2. mul-1-neg 36.7%

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

      3. *-commutative 36.7%

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

      4. *-commutative 36.7%

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

      5. *-commutative 36.7%

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

   6. Simplified 36.7%

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

   7. Taylor expanded in y3 around -inf 64.2%

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

      1. associate-*r* 64.2%

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

      2. neg-mul-1 64.2%

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

   9. Simplified 64.2%

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

   if 6.7999999999999997e-81 < c < 1e27

   1. Initial program 35.7%

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

   3. Simplified 35.7%

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

   4. Taylor expanded in x around inf 65.2%

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

   if 1e27 < c

   1. Initial program 25.1%

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

   3. Simplified 25.1%

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

   4. Taylor expanded in c around inf 53.7%

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

      1. associate--l+ 53.7%

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

      2. *-commutative 53.7%

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

      3. mul-1-neg 53.7%

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

      4. *-commutative 53.7%

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

      5. *-commutative 53.7%

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

   6. Simplified 53.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 61.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.25 \cdot 10^{+178}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-159}:\\ \;\;\;\;j \cdot \left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + \left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\right)\\ \mathbf{elif}\;c \leq 2.05 \cdot 10^{-286}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right) + \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-256}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 7.1 \cdot 10^{-230}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-119}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot \left(c \cdot y0 - a \cdot y1\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 6.8 \cdot 10^{-81}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 10^{+27}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \end{array} \]

Alternative 12: 35.0% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y1 \leq -1.65 \cdot 10^{+205}:\\ \;\;\;\;y4 \cdot t_1\\ \mathbf{elif}\;y1 \leq -1.6 \cdot 10^{+89}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.16 \cdot 10^{-160}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;y1 \leq -5.1 \cdot 10^{-303}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot t_2 + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.3 \cdot 10^{-42}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y1 \leq 1.4 \cdot 10^{+66}:\\ \;\;\;\;y4 \cdot \left(\left(t_1 + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 5.2 \cdot 10^{+168}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y1 (- (* k y2) (* j y3))))
        (t_2 (- (* c y0) (* a y1)))
        (t_3
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 t_2))
           (* j (- (* i y1) (* b y0)))))))
   (if (<= y1 -1.65e+205)
     (* y4 t_1)
     (if (<= y1 -1.6e+89)
       (* j (* i (- (* x y1) (* t y5))))
       (if (<= y1 -1.16e-160)
         (* (* c i) (- (* z t) (* x y)))
         (if (<= y1 -5.1e-303)
           (*
            y2
            (+
             (+ (* x t_2) (* k (- (* y1 y4) (* y0 y5))))
             (* t (- (* a y5) (* c y4)))))
           (if (<= y1 2.3e-42)
             t_3
             (if (<= y1 1.4e+66)
               (*
                y4
                (+
                 (+ t_1 (* b (- (* t j) (* y k))))
                 (* c (- (* y y3) (* t y2)))))
               (if (<= y1 5.2e+168)
                 t_3
                 (* y3 (* j (- (* y0 y5) (* y1 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 = y1 * ((k * y2) - (j * y3));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	double tmp;
	if (y1 <= -1.65e+205) {
		tmp = y4 * t_1;
	} else if (y1 <= -1.6e+89) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y1 <= -1.16e-160) {
		tmp = (c * i) * ((z * t) - (x * y));
	} else if (y1 <= -5.1e-303) {
		tmp = y2 * (((x * t_2) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))));
	} else if (y1 <= 2.3e-42) {
		tmp = t_3;
	} else if (y1 <= 1.4e+66) {
		tmp = y4 * ((t_1 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	} else if (y1 <= 5.2e+168) {
		tmp = t_3;
	} else {
		tmp = y3 * (j * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y1 * ((k * y2) - (j * y3))
    t_2 = (c * y0) - (a * y1)
    t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
    if (y1 <= (-1.65d+205)) then
        tmp = y4 * t_1
    else if (y1 <= (-1.6d+89)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (y1 <= (-1.16d-160)) then
        tmp = (c * i) * ((z * t) - (x * y))
    else if (y1 <= (-5.1d-303)) then
        tmp = y2 * (((x * t_2) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))))
    else if (y1 <= 2.3d-42) then
        tmp = t_3
    else if (y1 <= 1.4d+66) then
        tmp = y4 * ((t_1 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))))
    else if (y1 <= 5.2d+168) then
        tmp = t_3
    else
        tmp = y3 * (j * ((y0 * y5) - (y1 * 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 = y1 * ((k * y2) - (j * y3));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	double tmp;
	if (y1 <= -1.65e+205) {
		tmp = y4 * t_1;
	} else if (y1 <= -1.6e+89) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (y1 <= -1.16e-160) {
		tmp = (c * i) * ((z * t) - (x * y));
	} else if (y1 <= -5.1e-303) {
		tmp = y2 * (((x * t_2) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))));
	} else if (y1 <= 2.3e-42) {
		tmp = t_3;
	} else if (y1 <= 1.4e+66) {
		tmp = y4 * ((t_1 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	} else if (y1 <= 5.2e+168) {
		tmp = t_3;
	} else {
		tmp = y3 * (j * ((y0 * y5) - (y1 * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y1 * ((k * y2) - (j * y3))
	t_2 = (c * y0) - (a * y1)
	t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
	tmp = 0
	if y1 <= -1.65e+205:
		tmp = y4 * t_1
	elif y1 <= -1.6e+89:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif y1 <= -1.16e-160:
		tmp = (c * i) * ((z * t) - (x * y))
	elif y1 <= -5.1e-303:
		tmp = y2 * (((x * t_2) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))))
	elif y1 <= 2.3e-42:
		tmp = t_3
	elif y1 <= 1.4e+66:
		tmp = y4 * ((t_1 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))))
	elif y1 <= 5.2e+168:
		tmp = t_3
	else:
		tmp = y3 * (j * ((y0 * y5) - (y1 * 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(y1 * Float64(Float64(k * y2) - Float64(j * y3)))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	tmp = 0.0
	if (y1 <= -1.65e+205)
		tmp = Float64(y4 * t_1);
	elseif (y1 <= -1.6e+89)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (y1 <= -1.16e-160)
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)));
	elseif (y1 <= -5.1e-303)
		tmp = Float64(y2 * Float64(Float64(Float64(x * t_2) + Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y1 <= 2.3e-42)
		tmp = t_3;
	elseif (y1 <= 1.4e+66)
		tmp = Float64(y4 * Float64(Float64(t_1 + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y1 <= 5.2e+168)
		tmp = t_3;
	else
		tmp = Float64(y3 * Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * 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 = y1 * ((k * y2) - (j * y3));
	t_2 = (c * y0) - (a * y1);
	t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	tmp = 0.0;
	if (y1 <= -1.65e+205)
		tmp = y4 * t_1;
	elseif (y1 <= -1.6e+89)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (y1 <= -1.16e-160)
		tmp = (c * i) * ((z * t) - (x * y));
	elseif (y1 <= -5.1e-303)
		tmp = y2 * (((x * t_2) + (k * ((y1 * y4) - (y0 * y5)))) + (t * ((a * y5) - (c * y4))));
	elseif (y1 <= 2.3e-42)
		tmp = t_3;
	elseif (y1 <= 1.4e+66)
		tmp = y4 * ((t_1 + (b * ((t * j) - (y * k)))) + (c * ((y * y3) - (t * y2))));
	elseif (y1 <= 5.2e+168)
		tmp = t_3;
	else
		tmp = y3 * (j * ((y0 * y5) - (y1 * 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[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -1.65e+205], N[(y4 * t$95$1), $MachinePrecision], If[LessEqual[y1, -1.6e+89], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.16e-160], N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -5.1e-303], N[(y2 * N[(N[(N[(x * t$95$2), $MachinePrecision] + N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.3e-42], t$95$3, If[LessEqual[y1, 1.4e+66], N[(y4 * N[(N[(t$95$1 + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 5.2e+168], t$95$3, N[(y3 * N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y1 < -1.6500000000000001e205

   1. Initial program 13.0%

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

   3. Simplified 13.0%

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

   4. Taylor expanded in y4 around inf 44.0%

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

   5. Taylor expanded in y1 around inf 61.1%

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

   if -1.6500000000000001e205 < y1 < -1.59999999999999994e89

   1. Initial program 31.5%

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

   3. Simplified 31.5%

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

   4. Taylor expanded in j around inf 52.0%

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

      1. associate--l+ 52.0%

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

      2. mul-1-neg 52.0%

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

      3. *-commutative 52.0%

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

      4. *-commutative 52.0%

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

      5. *-commutative 52.0%

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

   6. Simplified 52.0%

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

   7. Taylor expanded in i around -inf 73.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 73.1%

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

      2. neg-mul-1 73.1%

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

      3. *-commutative 73.1%

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

      4. *-commutative 73.1%

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

   9. Simplified 73.1%

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

   10. Taylor expanded in i around 0 73.1%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 73.1%

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

       2. *-commutative 73.1%

          \[\leadsto -\color{blue}{\left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \cdot i} \]

       3. *-commutative 73.1%

          \[\leadsto -\color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \cdot i \]

       4. *-commutative 73.1%

          \[\leadsto -\left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \cdot i \]

       5. distribute-rgt-neg-out 73.1%

          \[\leadsto \color{blue}{\left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right) \cdot \left(-i\right)} \]

       6. associate-*l* 76.2%

          \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot y5 - x \cdot y1\right) \cdot \left(-i\right)\right)} \]

   12. Simplified 76.2%

       \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot y5 - x \cdot y1\right) \cdot \left(-i\right)\right)} \]

   if -1.59999999999999994e89 < y1 < -1.16e-160

   1. Initial program 33.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 48.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.6%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 48.6%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 48.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 48.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 48.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 48.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in i around inf 47.1%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - y \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 47.3%

         \[\leadsto \color{blue}{\left(c \cdot i\right) \cdot \left(t \cdot z - y \cdot x\right)} \]

      2. *-commutative 47.3%

         \[\leadsto \left(c \cdot i\right) \cdot \left(\color{blue}{z \cdot t} - y \cdot x\right) \]

      3. *-commutative 47.3%

         \[\leadsto \left(c \cdot i\right) \cdot \left(z \cdot t - \color{blue}{x \cdot y}\right) \]

   9. Simplified 47.3%

      \[\leadsto \color{blue}{\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)} \]

   if -1.16e-160 < y1 < -5.1e-303

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y2 around inf 46.8%

      \[\leadsto \color{blue}{\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot x + k \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \cdot y2} \]

   if -5.1e-303 < y1 < 2.30000000000000004e-42 or 1.4e66 < y1 < 5.2e168

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 54.1%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   if 2.30000000000000004e-42 < y1 < 1.4e66

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 5.2e168 < y1

   1. Initial program 22.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 48.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.3%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 48.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 48.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 48.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 48.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 48.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in y3 around -inf 60.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(j \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 60.1%

         \[\leadsto \color{blue}{\left(-1 \cdot y3\right) \cdot \left(j \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} \]

      2. neg-mul-1 60.1%

         \[\leadsto \color{blue}{\left(-y3\right)} \cdot \left(j \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) \]

   9. Simplified 60.1%

      \[\leadsto \color{blue}{\left(-y3\right) \cdot \left(j \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 55.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.65 \cdot 10^{+205}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -1.6 \cdot 10^{+89}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq -1.16 \cdot 10^{-160}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;y1 \leq -5.1 \cdot 10^{-303}:\\ \;\;\;\;y2 \cdot \left(\left(x \cdot \left(c \cdot y0 - a \cdot y1\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.3 \cdot 10^{-42}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 1.4 \cdot 10^{+66}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 5.2 \cdot 10^{+168}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\\ \end{array} \]

Alternative 13: 42.3% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ t_2 := c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ t_3 := j \cdot \left(i \cdot y1 - b \cdot y0\right)\\ \mathbf{if}\;y5 \leq -6.6 \cdot 10^{+135}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq -1.05 \cdot 10^{-89}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t_3\right)\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y5 \leq -3.4 \cdot 10^{-302}:\\ \;\;\;\;x \cdot t_3\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{+84}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y5
          (+
           (* i (- (* y k) (* t j)))
           (+ (* a (- (* t y2) (* y y3))) (* y0 (- (* j y3) (* k y2)))))))
        (t_2
         (*
          c
          (+
           (* i (- (* z t) (* x y)))
           (+ (* y0 (- (* x y2) (* z y3))) (* y4 (- (* y y3) (* t y2)))))))
        (t_3 (* j (- (* i y1) (* b y0)))))
   (if (<= y5 -6.6e+135)
     t_1
     (if (<= y5 -1.05e-89)
       (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1)))) t_3))
       (if (<= y5 -2.7e-198)
         t_2
         (if (<= y5 -3.4e-302) (* x t_3) (if (<= y5 8.5e+84) 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 = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))));
	double t_2 = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	double t_3 = j * ((i * y1) - (b * y0));
	double tmp;
	if (y5 <= -6.6e+135) {
		tmp = t_1;
	} else if (y5 <= -1.05e-89) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + t_3);
	} else if (y5 <= -2.7e-198) {
		tmp = t_2;
	} else if (y5 <= -3.4e-302) {
		tmp = x * t_3;
	} else if (y5 <= 8.5e+84) {
		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) :: t_3
    real(8) :: tmp
    t_1 = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))))
    t_2 = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
    t_3 = j * ((i * y1) - (b * y0))
    if (y5 <= (-6.6d+135)) then
        tmp = t_1
    else if (y5 <= (-1.05d-89)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + t_3)
    else if (y5 <= (-2.7d-198)) then
        tmp = t_2
    else if (y5 <= (-3.4d-302)) then
        tmp = x * t_3
    else if (y5 <= 8.5d+84) 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 = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))));
	double t_2 = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	double t_3 = j * ((i * y1) - (b * y0));
	double tmp;
	if (y5 <= -6.6e+135) {
		tmp = t_1;
	} else if (y5 <= -1.05e-89) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + t_3);
	} else if (y5 <= -2.7e-198) {
		tmp = t_2;
	} else if (y5 <= -3.4e-302) {
		tmp = x * t_3;
	} else if (y5 <= 8.5e+84) {
		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 = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))))
	t_2 = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))))
	t_3 = j * ((i * y1) - (b * y0))
	tmp = 0
	if y5 <= -6.6e+135:
		tmp = t_1
	elif y5 <= -1.05e-89:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + t_3)
	elif y5 <= -2.7e-198:
		tmp = t_2
	elif y5 <= -3.4e-302:
		tmp = x * t_3
	elif y5 <= 8.5e+84:
		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(y5 * Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))))
	t_2 = Float64(c * Float64(Float64(i * Float64(Float64(z * t) - Float64(x * y))) + Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))))
	t_3 = Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))
	tmp = 0.0
	if (y5 <= -6.6e+135)
		tmp = t_1;
	elseif (y5 <= -1.05e-89)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + t_3));
	elseif (y5 <= -2.7e-198)
		tmp = t_2;
	elseif (y5 <= -3.4e-302)
		tmp = Float64(x * t_3);
	elseif (y5 <= 8.5e+84)
		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 = y5 * ((i * ((y * k) - (t * j))) + ((a * ((t * y2) - (y * y3))) + (y0 * ((j * y3) - (k * y2)))));
	t_2 = c * ((i * ((z * t) - (x * y))) + ((y0 * ((x * y2) - (z * y3))) + (y4 * ((y * y3) - (t * y2)))));
	t_3 = j * ((i * y1) - (b * y0));
	tmp = 0.0;
	if (y5 <= -6.6e+135)
		tmp = t_1;
	elseif (y5 <= -1.05e-89)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + t_3);
	elseif (y5 <= -2.7e-198)
		tmp = t_2;
	elseif (y5 <= -3.4e-302)
		tmp = x * t_3;
	elseif (y5 <= 8.5e+84)
		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[(y5 * N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -6.6e+135], t$95$1, If[LessEqual[y5, -1.05e-89], 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] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.7e-198], t$95$2, If[LessEqual[y5, -3.4e-302], N[(x * t$95$3), $MachinePrecision], If[LessEqual[y5, 8.5e+84], t$95$2, t$95$1]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -6.5999999999999998e135 or 8.5000000000000008e84 < y5

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 63.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot i + y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 63.7%

         \[\leadsto \color{blue}{-y5 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot i + y0 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

      2. associate--l+ 63.7%

         \[\leadsto -y5 \cdot \color{blue}{\left(\left(t \cdot j - k \cdot y\right) \cdot i + \left(y0 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      3. *-commutative 63.7%

         \[\leadsto -y5 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot i + \left(y0 \cdot \left(k \cdot y2 - \color{blue}{j \cdot y3}\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 63.7%

      \[\leadsto \color{blue}{-y5 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot i + \left(y0 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   if -6.5999999999999998e135 < y5 < -1.05e-89

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 46.3%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   if -1.05e-89 < y5 < -2.7000000000000002e-198 or -3.4e-302 < y5 < 8.5000000000000008e84

   1. Initial program 35.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 55.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 55.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 55.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 55.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 55.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 55.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 55.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   if -2.7000000000000002e-198 < y5 < -3.4e-302

   1. Initial program 27.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 39.1%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 67.0%

      \[\leadsto \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \cdot x \]
3. Recombined 4 regimes into one program.

4. Final simplification 57.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -6.6 \cdot 10^{+135}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -1.05 \cdot 10^{-89}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{-198}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -3.4 \cdot 10^{-302}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{+84}:\\ \;\;\;\;c \cdot \left(i \cdot \left(z \cdot t - x \cdot y\right) + \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right) + \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \end{array} \]

Alternative 14: 29.5% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ t_2 := \left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ t_3 := y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ t_4 := y \cdot k - t \cdot j\\ \mathbf{if}\;x \leq -4.3 \cdot 10^{+224}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -4.2 \cdot 10^{+152}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{+78}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -0.028:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.26 \cdot 10^{-48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -1.06 \cdot 10^{-141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-296}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot t_4\\ \mathbf{elif}\;x \leq 2.25 \cdot 10^{-150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-96}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{-62}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{+154} \lor \neg \left(x \leq 3.3 \cdot 10^{+194}\right):\\ \;\;\;\;\left(x \cdot j\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y5 \cdot t_4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (* b (- (* k y0) (* t a)))))
        (t_2 (* (* c i) (- (* z t) (* x y))))
        (t_3 (* y4 (* t (- (* b j) (* c y2)))))
        (t_4 (- (* y k) (* t j))))
   (if (<= x -4.3e+224)
     t_2
     (if (<= x -4.2e+152)
       (* j (* i (- (* x y1) (* t y5))))
       (if (<= x -1.5e+78)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= x -0.028)
           t_2
           (if (<= x -1.26e-48)
             t_3
             (if (<= x -1.06e-141)
               t_1
               (if (<= x 3.1e-296)
                 (* (* i y5) t_4)
                 (if (<= x 2.25e-150)
                   t_1
                   (if (<= x 3.2e-96)
                     t_3
                     (if (<= x 2.1e-62)
                       (* y4 (* y1 (- (* k y2) (* j y3))))
                       (if (or (<= x 1.4e+154) (not (<= x 3.3e+194)))
                         (* (* x j) (- (* i y1) (* b y0)))
                         (* i (* y5 t_4)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * (b * ((k * y0) - (t * a)));
	double t_2 = (c * i) * ((z * t) - (x * y));
	double t_3 = y4 * (t * ((b * j) - (c * y2)));
	double t_4 = (y * k) - (t * j);
	double tmp;
	if (x <= -4.3e+224) {
		tmp = t_2;
	} else if (x <= -4.2e+152) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (x <= -1.5e+78) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (x <= -0.028) {
		tmp = t_2;
	} else if (x <= -1.26e-48) {
		tmp = t_3;
	} else if (x <= -1.06e-141) {
		tmp = t_1;
	} else if (x <= 3.1e-296) {
		tmp = (i * y5) * t_4;
	} else if (x <= 2.25e-150) {
		tmp = t_1;
	} else if (x <= 3.2e-96) {
		tmp = t_3;
	} else if (x <= 2.1e-62) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if ((x <= 1.4e+154) || !(x <= 3.3e+194)) {
		tmp = (x * j) * ((i * y1) - (b * y0));
	} else {
		tmp = i * (y5 * t_4);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = z * (b * ((k * y0) - (t * a)))
    t_2 = (c * i) * ((z * t) - (x * y))
    t_3 = y4 * (t * ((b * j) - (c * y2)))
    t_4 = (y * k) - (t * j)
    if (x <= (-4.3d+224)) then
        tmp = t_2
    else if (x <= (-4.2d+152)) then
        tmp = j * (i * ((x * y1) - (t * y5)))
    else if (x <= (-1.5d+78)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (x <= (-0.028d0)) then
        tmp = t_2
    else if (x <= (-1.26d-48)) then
        tmp = t_3
    else if (x <= (-1.06d-141)) then
        tmp = t_1
    else if (x <= 3.1d-296) then
        tmp = (i * y5) * t_4
    else if (x <= 2.25d-150) then
        tmp = t_1
    else if (x <= 3.2d-96) then
        tmp = t_3
    else if (x <= 2.1d-62) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if ((x <= 1.4d+154) .or. (.not. (x <= 3.3d+194))) then
        tmp = (x * j) * ((i * y1) - (b * y0))
    else
        tmp = i * (y5 * t_4)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * (b * ((k * y0) - (t * a)));
	double t_2 = (c * i) * ((z * t) - (x * y));
	double t_3 = y4 * (t * ((b * j) - (c * y2)));
	double t_4 = (y * k) - (t * j);
	double tmp;
	if (x <= -4.3e+224) {
		tmp = t_2;
	} else if (x <= -4.2e+152) {
		tmp = j * (i * ((x * y1) - (t * y5)));
	} else if (x <= -1.5e+78) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (x <= -0.028) {
		tmp = t_2;
	} else if (x <= -1.26e-48) {
		tmp = t_3;
	} else if (x <= -1.06e-141) {
		tmp = t_1;
	} else if (x <= 3.1e-296) {
		tmp = (i * y5) * t_4;
	} else if (x <= 2.25e-150) {
		tmp = t_1;
	} else if (x <= 3.2e-96) {
		tmp = t_3;
	} else if (x <= 2.1e-62) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if ((x <= 1.4e+154) || !(x <= 3.3e+194)) {
		tmp = (x * j) * ((i * y1) - (b * y0));
	} else {
		tmp = i * (y5 * t_4);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * (b * ((k * y0) - (t * a)))
	t_2 = (c * i) * ((z * t) - (x * y))
	t_3 = y4 * (t * ((b * j) - (c * y2)))
	t_4 = (y * k) - (t * j)
	tmp = 0
	if x <= -4.3e+224:
		tmp = t_2
	elif x <= -4.2e+152:
		tmp = j * (i * ((x * y1) - (t * y5)))
	elif x <= -1.5e+78:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif x <= -0.028:
		tmp = t_2
	elif x <= -1.26e-48:
		tmp = t_3
	elif x <= -1.06e-141:
		tmp = t_1
	elif x <= 3.1e-296:
		tmp = (i * y5) * t_4
	elif x <= 2.25e-150:
		tmp = t_1
	elif x <= 3.2e-96:
		tmp = t_3
	elif x <= 2.1e-62:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif (x <= 1.4e+154) or not (x <= 3.3e+194):
		tmp = (x * j) * ((i * y1) - (b * y0))
	else:
		tmp = i * (y5 * t_4)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))))
	t_2 = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)))
	t_3 = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))))
	t_4 = Float64(Float64(y * k) - Float64(t * j))
	tmp = 0.0
	if (x <= -4.3e+224)
		tmp = t_2;
	elseif (x <= -4.2e+152)
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	elseif (x <= -1.5e+78)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (x <= -0.028)
		tmp = t_2;
	elseif (x <= -1.26e-48)
		tmp = t_3;
	elseif (x <= -1.06e-141)
		tmp = t_1;
	elseif (x <= 3.1e-296)
		tmp = Float64(Float64(i * y5) * t_4);
	elseif (x <= 2.25e-150)
		tmp = t_1;
	elseif (x <= 3.2e-96)
		tmp = t_3;
	elseif (x <= 2.1e-62)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif ((x <= 1.4e+154) || !(x <= 3.3e+194))
		tmp = Float64(Float64(x * j) * Float64(Float64(i * y1) - Float64(b * y0)));
	else
		tmp = Float64(i * Float64(y5 * t_4));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * (b * ((k * y0) - (t * a)));
	t_2 = (c * i) * ((z * t) - (x * y));
	t_3 = y4 * (t * ((b * j) - (c * y2)));
	t_4 = (y * k) - (t * j);
	tmp = 0.0;
	if (x <= -4.3e+224)
		tmp = t_2;
	elseif (x <= -4.2e+152)
		tmp = j * (i * ((x * y1) - (t * y5)));
	elseif (x <= -1.5e+78)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (x <= -0.028)
		tmp = t_2;
	elseif (x <= -1.26e-48)
		tmp = t_3;
	elseif (x <= -1.06e-141)
		tmp = t_1;
	elseif (x <= 3.1e-296)
		tmp = (i * y5) * t_4;
	elseif (x <= 2.25e-150)
		tmp = t_1;
	elseif (x <= 3.2e-96)
		tmp = t_3;
	elseif (x <= 2.1e-62)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif ((x <= 1.4e+154) || ~((x <= 3.3e+194)))
		tmp = (x * j) * ((i * y1) - (b * y0));
	else
		tmp = i * (y5 * t_4);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -4.3e+224], t$95$2, If[LessEqual[x, -4.2e+152], N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.5e+78], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -0.028], t$95$2, If[LessEqual[x, -1.26e-48], t$95$3, If[LessEqual[x, -1.06e-141], t$95$1, If[LessEqual[x, 3.1e-296], N[(N[(i * y5), $MachinePrecision] * t$95$4), $MachinePrecision], If[LessEqual[x, 2.25e-150], t$95$1, If[LessEqual[x, 3.2e-96], t$95$3, If[LessEqual[x, 2.1e-62], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[x, 1.4e+154], N[Not[LessEqual[x, 3.3e+194]], $MachinePrecision]], N[(N[(x * j), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(y5 * t$95$4), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -4.3000000000000001e224 or -1.49999999999999991e78 < x < -0.0280000000000000006

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 53.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 53.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 53.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 53.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 53.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 53.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in i around inf 63.8%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - y \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 67.0%

         \[\leadsto \color{blue}{\left(c \cdot i\right) \cdot \left(t \cdot z - y \cdot x\right)} \]

      2. *-commutative 67.0%

         \[\leadsto \left(c \cdot i\right) \cdot \left(\color{blue}{z \cdot t} - y \cdot x\right) \]

      3. *-commutative 67.0%

         \[\leadsto \left(c \cdot i\right) \cdot \left(z \cdot t - \color{blue}{x \cdot y}\right) \]

   9. Simplified 67.0%

      \[\leadsto \color{blue}{\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)} \]

   if -4.3000000000000001e224 < x < -4.2000000000000003e152

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 83.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 83.4%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 83.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 83.4%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 83.4%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 83.4%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 83.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 76.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 76.1%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 76.1%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 76.1%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 76.1%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 76.1%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in i around 0 76.1%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 76.1%

          \[\leadsto \color{blue}{-i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

       2. *-commutative 76.1%

          \[\leadsto -\color{blue}{\left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \cdot i} \]

       3. *-commutative 76.1%

          \[\leadsto -\color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \cdot i \]

       4. *-commutative 76.1%

          \[\leadsto -\left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \cdot i \]

       5. distribute-rgt-neg-out 76.1%

          \[\leadsto \color{blue}{\left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right) \cdot \left(-i\right)} \]

       6. associate-*l* 83.7%

          \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot y5 - x \cdot y1\right) \cdot \left(-i\right)\right)} \]

   12. Simplified 83.7%

       \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot y5 - x \cdot y1\right) \cdot \left(-i\right)\right)} \]

   if -4.2000000000000003e152 < x < -1.49999999999999991e78

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 46.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 46.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 46.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 46.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 46.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 46.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 72.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 72.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 72.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 72.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   if -0.0280000000000000006 < x < -1.2599999999999999e-48 or 2.2500000000000001e-150 < x < 3.20000000000000012e-96

   1. Initial program 39.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 48.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 57.3%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   if -1.2599999999999999e-48 < x < -1.06e-141 or 3.1000000000000002e-296 < x < 2.2500000000000001e-150

   1. Initial program 32.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 53.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in b around inf 55.6%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z\right) \]

   if -1.06e-141 < x < 3.1000000000000002e-296

   1. Initial program 34.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 40.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 40.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 40.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around inf 47.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 47.1%

         \[\leadsto \color{blue}{-i \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot y5\right)} \]

      2. associate-*r* 52.5%

         \[\leadsto -\color{blue}{\left(i \cdot \left(t \cdot j - k \cdot y\right)\right) \cdot y5} \]

      3. *-commutative 52.5%

         \[\leadsto -\color{blue}{\left(\left(t \cdot j - k \cdot y\right) \cdot i\right)} \cdot y5 \]

      4. associate-*r* 47.1%

         \[\leadsto -\color{blue}{\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)} \]

      5. *-commutative 47.1%

         \[\leadsto -\left(t \cdot j - \color{blue}{y \cdot k}\right) \cdot \left(i \cdot y5\right) \]

      6. distribute-rgt-neg-out 47.1%

         \[\leadsto \color{blue}{\left(t \cdot j - y \cdot k\right) \cdot \left(-i \cdot y5\right)} \]

      7. distribute-rgt-neg-in 47.1%

         \[\leadsto \left(t \cdot j - y \cdot k\right) \cdot \color{blue}{\left(i \cdot \left(-y5\right)\right)} \]

   9. Simplified 47.1%

      \[\leadsto \color{blue}{\left(t \cdot j - y \cdot k\right) \cdot \left(i \cdot \left(-y5\right)\right)} \]

   if 3.20000000000000012e-96 < x < 2.0999999999999999e-62

   1. Initial program 34.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 66.9%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   if 2.0999999999999999e-62 < x < 1.4e154 or 3.29999999999999983e194 < x

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 49.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 49.4%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 49.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 49.4%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 49.4%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 49.4%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 49.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in x around inf 53.8%

      \[\leadsto \color{blue}{\left(i \cdot y1 - y0 \cdot b\right) \cdot \left(j \cdot x\right)} \]

   if 1.4e154 < x < 3.29999999999999983e194

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 25.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 25.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 25.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around inf 67.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot y5\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 58.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -4.3 \cdot 10^{+224}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;x \leq -4.2 \cdot 10^{+152}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.5 \cdot 10^{+78}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -0.028:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;x \leq -1.26 \cdot 10^{-48}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.06 \cdot 10^{-141}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-296}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;x \leq 2.25 \cdot 10^{-150}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-96}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{-62}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.4 \cdot 10^{+154} \lor \neg \left(x \leq 3.3 \cdot 10^{+194}\right):\\ \;\;\;\;\left(x \cdot j\right) \cdot \left(i \cdot y1 - b \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \end{array} \]

Alternative 15: 29.6% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_2 := \left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{if}\;c \leq -1.5 \cdot 10^{+170}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-290}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-230}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-76}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 7 \cdot 10^{+44}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 5.5 \cdot 10^{+65}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 6.8 \cdot 10^{+124}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{+131}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{+245}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* b (- (* t y4) (* x y0)))))
        (t_2 (* (* c i) (- (* z t) (* x y)))))
   (if (<= c -1.5e+170)
     t_2
     (if (<= c -5e-155)
       t_1
       (if (<= c -1.75e-290)
         (* (* a (* y3 y5)) (- y))
         (if (<= c 1.9e-230)
           t_1
           (if (<= c 2.1e-76)
             (* x (* a (- (* y b) (* y1 y2))))
             (if (<= c 7e+44)
               (* j (* y5 (- (* y0 y3) (* t i))))
               (if (<= c 5.5e+65)
                 (* y4 (* y1 (- (* k y2) (* j y3))))
                 (if (<= c 6.8e+124)
                   t_2
                   (if (<= c 1.8e+131)
                     (* y4 (* t (- (* b j) (* c y2))))
                     (if (<= c 1.85e+245)
                       (* c (* y (- (* y3 y4) (* x i))))
                       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 = j * (b * ((t * y4) - (x * y0)));
	double t_2 = (c * i) * ((z * t) - (x * y));
	double tmp;
	if (c <= -1.5e+170) {
		tmp = t_2;
	} else if (c <= -5e-155) {
		tmp = t_1;
	} else if (c <= -1.75e-290) {
		tmp = (a * (y3 * y5)) * -y;
	} else if (c <= 1.9e-230) {
		tmp = t_1;
	} else if (c <= 2.1e-76) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (c <= 7e+44) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 5.5e+65) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (c <= 6.8e+124) {
		tmp = t_2;
	} else if (c <= 1.8e+131) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (c <= 1.85e+245) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (b * ((t * y4) - (x * y0)))
    t_2 = (c * i) * ((z * t) - (x * y))
    if (c <= (-1.5d+170)) then
        tmp = t_2
    else if (c <= (-5d-155)) then
        tmp = t_1
    else if (c <= (-1.75d-290)) then
        tmp = (a * (y3 * y5)) * -y
    else if (c <= 1.9d-230) then
        tmp = t_1
    else if (c <= 2.1d-76) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (c <= 7d+44) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (c <= 5.5d+65) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (c <= 6.8d+124) then
        tmp = t_2
    else if (c <= 1.8d+131) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else if (c <= 1.85d+245) then
        tmp = c * (y * ((y3 * y4) - (x * i)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (b * ((t * y4) - (x * y0)));
	double t_2 = (c * i) * ((z * t) - (x * y));
	double tmp;
	if (c <= -1.5e+170) {
		tmp = t_2;
	} else if (c <= -5e-155) {
		tmp = t_1;
	} else if (c <= -1.75e-290) {
		tmp = (a * (y3 * y5)) * -y;
	} else if (c <= 1.9e-230) {
		tmp = t_1;
	} else if (c <= 2.1e-76) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (c <= 7e+44) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 5.5e+65) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (c <= 6.8e+124) {
		tmp = t_2;
	} else if (c <= 1.8e+131) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else if (c <= 1.85e+245) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (b * ((t * y4) - (x * y0)))
	t_2 = (c * i) * ((z * t) - (x * y))
	tmp = 0
	if c <= -1.5e+170:
		tmp = t_2
	elif c <= -5e-155:
		tmp = t_1
	elif c <= -1.75e-290:
		tmp = (a * (y3 * y5)) * -y
	elif c <= 1.9e-230:
		tmp = t_1
	elif c <= 2.1e-76:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif c <= 7e+44:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif c <= 5.5e+65:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif c <= 6.8e+124:
		tmp = t_2
	elif c <= 1.8e+131:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	elif c <= 1.85e+245:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(b * Float64(Float64(t * y4) - Float64(x * y0))))
	t_2 = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * y)))
	tmp = 0.0
	if (c <= -1.5e+170)
		tmp = t_2;
	elseif (c <= -5e-155)
		tmp = t_1;
	elseif (c <= -1.75e-290)
		tmp = Float64(Float64(a * Float64(y3 * y5)) * Float64(-y));
	elseif (c <= 1.9e-230)
		tmp = t_1;
	elseif (c <= 2.1e-76)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (c <= 7e+44)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (c <= 5.5e+65)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (c <= 6.8e+124)
		tmp = t_2;
	elseif (c <= 1.8e+131)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	elseif (c <= 1.85e+245)
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (b * ((t * y4) - (x * y0)));
	t_2 = (c * i) * ((z * t) - (x * y));
	tmp = 0.0;
	if (c <= -1.5e+170)
		tmp = t_2;
	elseif (c <= -5e-155)
		tmp = t_1;
	elseif (c <= -1.75e-290)
		tmp = (a * (y3 * y5)) * -y;
	elseif (c <= 1.9e-230)
		tmp = t_1;
	elseif (c <= 2.1e-76)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (c <= 7e+44)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (c <= 5.5e+65)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (c <= 6.8e+124)
		tmp = t_2;
	elseif (c <= 1.8e+131)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	elseif (c <= 1.85e+245)
		tmp = c * (y * ((y3 * y4) - (x * i)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -1.5e+170], t$95$2, If[LessEqual[c, -5e-155], t$95$1, If[LessEqual[c, -1.75e-290], N[(N[(a * N[(y3 * y5), $MachinePrecision]), $MachinePrecision] * (-y)), $MachinePrecision], If[LessEqual[c, 1.9e-230], t$95$1, If[LessEqual[c, 2.1e-76], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 7e+44], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 5.5e+65], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 6.8e+124], t$95$2, If[LessEqual[c, 1.8e+131], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.85e+245], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if c < -1.49999999999999998e170 or 5.4999999999999996e65 < c < 6.8e124 or 1.85e245 < c

   1. Initial program 32.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 63.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 63.6%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 63.6%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 63.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 63.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 63.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 63.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in i around inf 60.9%

      \[\leadsto \color{blue}{c \cdot \left(i \cdot \left(t \cdot z - y \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 64.3%

         \[\leadsto \color{blue}{\left(c \cdot i\right) \cdot \left(t \cdot z - y \cdot x\right)} \]

      2. *-commutative 64.3%

         \[\leadsto \left(c \cdot i\right) \cdot \left(\color{blue}{z \cdot t} - y \cdot x\right) \]

      3. *-commutative 64.3%

         \[\leadsto \left(c \cdot i\right) \cdot \left(z \cdot t - \color{blue}{x \cdot y}\right) \]

   9. Simplified 64.3%

      \[\leadsto \color{blue}{\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)} \]

   if -1.49999999999999998e170 < c < -4.9999999999999999e-155 or -1.74999999999999991e-290 < c < 1.8999999999999999e-230

   1. Initial program 34.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 53.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.3%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 53.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 53.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 53.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 53.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 53.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in b around inf 49.6%

      \[\leadsto \color{blue}{j \cdot \left(b \cdot \left(y4 \cdot t - y0 \cdot x\right)\right)} \]

   if -4.9999999999999999e-155 < c < -1.74999999999999991e-290

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 43.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 40.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 40.2%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 40.2%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 40.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y around inf 47.8%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]

   if 1.8999999999999999e-230 < c < 2.09999999999999992e-76

   1. Initial program 23.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 24.1%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in a around inf 44.5%

      \[\leadsto \color{blue}{\left(\left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right) \cdot a\right)} \cdot x \]
   6. Step-by-step derivation

      1. *-commutative 44.5%

         \[\leadsto \color{blue}{\left(a \cdot \left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right)\right)} \cdot x \]

      2. mul-1-neg 44.5%

         \[\leadsto \left(a \cdot \left(y \cdot b + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot x \]

      3. unsub-neg 44.5%

         \[\leadsto \left(a \cdot \color{blue}{\left(y \cdot b - y1 \cdot y2\right)}\right) \cdot x \]

      4. *-commutative 44.5%

         \[\leadsto \left(a \cdot \left(\color{blue}{b \cdot y} - y1 \cdot y2\right)\right) \cdot x \]

   7. Simplified 44.5%

      \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \cdot x \]

   if 2.09999999999999992e-76 < c < 6.9999999999999998e44

   1. Initial program 38.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 53.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 53.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 53.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 53.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 53.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 53.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in y5 around inf 39.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 39.6%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right)\right)} \]

      2. cancel-sign-sub-inv 39.6%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(-1 \cdot \left(i \cdot t\right) + \left(--1\right) \cdot \left(y0 \cdot y3\right)\right)}\right) \]

      3. metadata-eval 39.6%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{1} \cdot \left(y0 \cdot y3\right)\right)\right) \]

      4. *-lft-identity 39.6%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{y0 \cdot y3}\right)\right) \]

      5. +-commutative 39.6%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right) \]

      6. mul-1-neg 39.6%

         \[\leadsto j \cdot \left(y5 \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right) \]

      7. sub-neg 39.6%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right) \]

   9. Simplified 39.6%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y0 \cdot y3 - i \cdot t\right)\right)} \]

   if 6.9999999999999998e44 < c < 5.4999999999999996e65

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 100.0%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   if 6.8e124 < c < 1.80000000000000016e131

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 0.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 100.0%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   if 1.80000000000000016e131 < c < 1.85e245

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 14.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 50.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 50.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 50.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 50.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 50.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 50.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 50.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y around -inf 55.1%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y4 \cdot y3 + -1 \cdot \left(i \cdot x\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 55.1%

         \[\leadsto c \cdot \left(y \cdot \left(y4 \cdot y3 + \color{blue}{\left(-i \cdot x\right)}\right)\right) \]

      2. unsub-neg 55.1%

         \[\leadsto c \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3 - i \cdot x\right)}\right) \]

      3. *-commutative 55.1%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{y3 \cdot y4} - i \cdot x\right)\right) \]

      4. *-commutative 55.1%

         \[\leadsto c \cdot \left(y \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right)\right) \]

   9. Simplified 55.1%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 52.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.5 \cdot 10^{+170}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-155}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-290}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-230}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-76}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 7 \cdot 10^{+44}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 5.5 \cdot 10^{+65}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 6.8 \cdot 10^{+124}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{+131}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{+245}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]

Alternative 16: 29.4% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := \left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{if}\;b \leq -2.65 \cdot 10^{+200}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{+68}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -8 \cdot 10^{+50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{-89}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-155}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -9.2 \cdot 10^{-308}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 13.8:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{+41}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* j (- (* i y1) (* b y0)))))
        (t_2 (* (- (* t c) (* k y1)) (* z i))))
   (if (<= b -2.65e+200)
     (* z (* b (- (* k y0) (* t a))))
     (if (<= b -9.5e+118)
       t_1
       (if (<= b -4.3e+68)
         (* y0 (* y5 (- (* j y3) (* k y2))))
         (if (<= b -8e+50)
           t_2
           (if (<= b -1.55e-89)
             (* i (* y5 (- (* y k) (* t j))))
             (if (<= b -7.5e-155)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= b -9.2e-308)
                 (* x (* c (- (* y0 y2) (* y i))))
                 (if (<= b 13.8)
                   t_2
                   (if (<= b 1.35e+41)
                     t_1
                     (if (<= b 2.9e+77)
                       t_2
                       (* x (* y0 (- (* c y2) (* b j))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double t_2 = ((t * c) - (k * y1)) * (z * i);
	double tmp;
	if (b <= -2.65e+200) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else if (b <= -9.5e+118) {
		tmp = t_1;
	} else if (b <= -4.3e+68) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= -8e+50) {
		tmp = t_2;
	} else if (b <= -1.55e-89) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (b <= -7.5e-155) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= -9.2e-308) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (b <= 13.8) {
		tmp = t_2;
	} else if (b <= 1.35e+41) {
		tmp = t_1;
	} else if (b <= 2.9e+77) {
		tmp = t_2;
	} else {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (j * ((i * y1) - (b * y0)))
    t_2 = ((t * c) - (k * y1)) * (z * i)
    if (b <= (-2.65d+200)) then
        tmp = z * (b * ((k * y0) - (t * a)))
    else if (b <= (-9.5d+118)) then
        tmp = t_1
    else if (b <= (-4.3d+68)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (b <= (-8d+50)) then
        tmp = t_2
    else if (b <= (-1.55d-89)) then
        tmp = i * (y5 * ((y * k) - (t * j)))
    else if (b <= (-7.5d-155)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= (-9.2d-308)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (b <= 13.8d0) then
        tmp = t_2
    else if (b <= 1.35d+41) then
        tmp = t_1
    else if (b <= 2.9d+77) then
        tmp = t_2
    else
        tmp = x * (y0 * ((c * y2) - (b * j)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double t_2 = ((t * c) - (k * y1)) * (z * i);
	double tmp;
	if (b <= -2.65e+200) {
		tmp = z * (b * ((k * y0) - (t * a)));
	} else if (b <= -9.5e+118) {
		tmp = t_1;
	} else if (b <= -4.3e+68) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= -8e+50) {
		tmp = t_2;
	} else if (b <= -1.55e-89) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (b <= -7.5e-155) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= -9.2e-308) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (b <= 13.8) {
		tmp = t_2;
	} else if (b <= 1.35e+41) {
		tmp = t_1;
	} else if (b <= 2.9e+77) {
		tmp = t_2;
	} else {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (j * ((i * y1) - (b * y0)))
	t_2 = ((t * c) - (k * y1)) * (z * i)
	tmp = 0
	if b <= -2.65e+200:
		tmp = z * (b * ((k * y0) - (t * a)))
	elif b <= -9.5e+118:
		tmp = t_1
	elif b <= -4.3e+68:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif b <= -8e+50:
		tmp = t_2
	elif b <= -1.55e-89:
		tmp = i * (y5 * ((y * k) - (t * j)))
	elif b <= -7.5e-155:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= -9.2e-308:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif b <= 13.8:
		tmp = t_2
	elif b <= 1.35e+41:
		tmp = t_1
	elif b <= 2.9e+77:
		tmp = t_2
	else:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(Float64(Float64(t * c) - Float64(k * y1)) * Float64(z * i))
	tmp = 0.0
	if (b <= -2.65e+200)
		tmp = Float64(z * Float64(b * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (b <= -9.5e+118)
		tmp = t_1;
	elseif (b <= -4.3e+68)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (b <= -8e+50)
		tmp = t_2;
	elseif (b <= -1.55e-89)
		tmp = Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j))));
	elseif (b <= -7.5e-155)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= -9.2e-308)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (b <= 13.8)
		tmp = t_2;
	elseif (b <= 1.35e+41)
		tmp = t_1;
	elseif (b <= 2.9e+77)
		tmp = t_2;
	else
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (j * ((i * y1) - (b * y0)));
	t_2 = ((t * c) - (k * y1)) * (z * i);
	tmp = 0.0;
	if (b <= -2.65e+200)
		tmp = z * (b * ((k * y0) - (t * a)));
	elseif (b <= -9.5e+118)
		tmp = t_1;
	elseif (b <= -4.3e+68)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (b <= -8e+50)
		tmp = t_2;
	elseif (b <= -1.55e-89)
		tmp = i * (y5 * ((y * k) - (t * j)));
	elseif (b <= -7.5e-155)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= -9.2e-308)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (b <= 13.8)
		tmp = t_2;
	elseif (b <= 1.35e+41)
		tmp = t_1;
	elseif (b <= 2.9e+77)
		tmp = t_2;
	else
		tmp = x * (y0 * ((c * y2) - (b * j)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision] * N[(z * i), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.65e+200], N[(z * N[(b * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -9.5e+118], t$95$1, If[LessEqual[b, -4.3e+68], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8e+50], t$95$2, If[LessEqual[b, -1.55e-89], N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.5e-155], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -9.2e-308], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 13.8], t$95$2, If[LessEqual[b, 1.35e+41], t$95$1, If[LessEqual[b, 2.9e+77], t$95$2, N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if b < -2.64999999999999997e200

   1. Initial program 16.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 40.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in b around inf 68.3%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(a \cdot t - k \cdot y0\right) \cdot b\right)} \cdot z\right) \]

   if -2.64999999999999997e200 < b < -9.49999999999999974e118 or 13.800000000000001 < b < 1.35e41

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 52.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 63.8%

      \[\leadsto \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \cdot x \]

   if -9.49999999999999974e118 < b < -4.3000000000000001e68

   1. Initial program 0.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 0.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 30.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 30.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 30.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in y0 around inf 55.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 55.6%

         \[\leadsto \color{blue}{\left(-1 \cdot y0\right) \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

      2. neg-mul-1 55.6%

         \[\leadsto \color{blue}{\left(-y0\right)} \cdot \left(y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) \]

      3. *-commutative 55.6%

         \[\leadsto \left(-y0\right) \cdot \color{blue}{\left(\left(k \cdot y2 - y3 \cdot j\right) \cdot y5\right)} \]

      4. *-commutative 55.6%

         \[\leadsto \left(-y0\right) \cdot \left(\left(\color{blue}{y2 \cdot k} - y3 \cdot j\right) \cdot y5\right) \]

   9. Simplified 55.6%

      \[\leadsto \color{blue}{\left(-y0\right) \cdot \left(\left(y2 \cdot k - y3 \cdot j\right) \cdot y5\right)} \]

   if -4.3000000000000001e68 < b < -8.0000000000000006e50 or -9.1999999999999996e-308 < b < 13.800000000000001 or 1.35e41 < b < 2.9000000000000002e77

   1. Initial program 39.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 55.4%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in i around -inf 50.1%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(\left(c \cdot t - k \cdot y1\right) \cdot \left(i \cdot z\right)\right)\right)} \]

   if -8.0000000000000006e50 < b < -1.54999999999999998e-89

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 36.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 36.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in i around inf 48.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot y5\right)\right)} \]

   if -1.54999999999999998e-89 < b < -7.5000000000000006e-155

   1. Initial program 38.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 47.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 47.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 47.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 47.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 47.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 47.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 47.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y0 around -inf 70.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -7.5000000000000006e-155 < b < -9.1999999999999996e-308

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 55.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 55.6%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 55.6%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 55.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 55.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 55.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 55.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 51.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 53.0%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 53.0%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 53.0%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   if 2.9000000000000002e77 < b

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 35.7%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in y0 around inf 56.7%

      \[\leadsto \color{blue}{\left(\left(c \cdot y2 - b \cdot j\right) \cdot y0\right)} \cdot x \]
3. Recombined 8 regimes into one program.

4. Final simplification 56.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.65 \cdot 10^{+200}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{+118}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{+68}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -8 \cdot 10^{+50}:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{elif}\;b \leq -1.55 \cdot 10^{-89}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-155}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -9.2 \cdot 10^{-308}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 13.8:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{elif}\;b \leq 1.35 \cdot 10^{+41}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;\left(t \cdot c - k \cdot y1\right) \cdot \left(z \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \end{array} \]

Alternative 17: 26.7% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{if}\;b \leq -2.25 \cdot 10^{+201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -5.1 \cdot 10^{+152}:\\ \;\;\;\;\left(i \cdot y1\right) \cdot \left(x \cdot j\right)\\ \mathbf{elif}\;b \leq -9 \cdot 10^{+124}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;b \leq -4.7 \cdot 10^{+83}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{+48}:\\ \;\;\;\;z \cdot \left(a \cdot \left(t \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;b \leq -5 \cdot 10^{-94}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{+170}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* t (* z b)) (- a))))
   (if (<= b -2.25e+201)
     t_1
     (if (<= b -5.1e+152)
       (* (* i y1) (* x j))
       (if (<= b -9e+124)
         (* (* b j) (* t y4))
         (if (<= b -4.7e+83)
           (* c (* y0 (* x y2)))
           (if (<= b -2.7e+48)
             (* z (* a (* t (- b))))
             (if (<= b -5e-94)
               (* y1 (* i (* x j)))
               (if (<= b 4.4e+170)
                 (* a (* y5 (- (* t y2) (* y y3))))
                 t_1)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * (z * b)) * -a;
	double tmp;
	if (b <= -2.25e+201) {
		tmp = t_1;
	} else if (b <= -5.1e+152) {
		tmp = (i * y1) * (x * j);
	} else if (b <= -9e+124) {
		tmp = (b * j) * (t * y4);
	} else if (b <= -4.7e+83) {
		tmp = c * (y0 * (x * y2));
	} else if (b <= -2.7e+48) {
		tmp = z * (a * (t * -b));
	} else if (b <= -5e-94) {
		tmp = y1 * (i * (x * j));
	} else if (b <= 4.4e+170) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = (t * (z * b)) * -a
    if (b <= (-2.25d+201)) then
        tmp = t_1
    else if (b <= (-5.1d+152)) then
        tmp = (i * y1) * (x * j)
    else if (b <= (-9d+124)) then
        tmp = (b * j) * (t * y4)
    else if (b <= (-4.7d+83)) then
        tmp = c * (y0 * (x * y2))
    else if (b <= (-2.7d+48)) then
        tmp = z * (a * (t * -b))
    else if (b <= (-5d-94)) then
        tmp = y1 * (i * (x * j))
    else if (b <= 4.4d+170) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * (z * b)) * -a;
	double tmp;
	if (b <= -2.25e+201) {
		tmp = t_1;
	} else if (b <= -5.1e+152) {
		tmp = (i * y1) * (x * j);
	} else if (b <= -9e+124) {
		tmp = (b * j) * (t * y4);
	} else if (b <= -4.7e+83) {
		tmp = c * (y0 * (x * y2));
	} else if (b <= -2.7e+48) {
		tmp = z * (a * (t * -b));
	} else if (b <= -5e-94) {
		tmp = y1 * (i * (x * j));
	} else if (b <= 4.4e+170) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * (z * b)) * -a
	tmp = 0
	if b <= -2.25e+201:
		tmp = t_1
	elif b <= -5.1e+152:
		tmp = (i * y1) * (x * j)
	elif b <= -9e+124:
		tmp = (b * j) * (t * y4)
	elif b <= -4.7e+83:
		tmp = c * (y0 * (x * y2))
	elif b <= -2.7e+48:
		tmp = z * (a * (t * -b))
	elif b <= -5e-94:
		tmp = y1 * (i * (x * j))
	elif b <= 4.4e+170:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * Float64(z * b)) * Float64(-a))
	tmp = 0.0
	if (b <= -2.25e+201)
		tmp = t_1;
	elseif (b <= -5.1e+152)
		tmp = Float64(Float64(i * y1) * Float64(x * j));
	elseif (b <= -9e+124)
		tmp = Float64(Float64(b * j) * Float64(t * y4));
	elseif (b <= -4.7e+83)
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	elseif (b <= -2.7e+48)
		tmp = Float64(z * Float64(a * Float64(t * Float64(-b))));
	elseif (b <= -5e-94)
		tmp = Float64(y1 * Float64(i * Float64(x * j)));
	elseif (b <= 4.4e+170)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * (z * b)) * -a;
	tmp = 0.0;
	if (b <= -2.25e+201)
		tmp = t_1;
	elseif (b <= -5.1e+152)
		tmp = (i * y1) * (x * j);
	elseif (b <= -9e+124)
		tmp = (b * j) * (t * y4);
	elseif (b <= -4.7e+83)
		tmp = c * (y0 * (x * y2));
	elseif (b <= -2.7e+48)
		tmp = z * (a * (t * -b));
	elseif (b <= -5e-94)
		tmp = y1 * (i * (x * j));
	elseif (b <= 4.4e+170)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * N[(z * b), $MachinePrecision]), $MachinePrecision] * (-a)), $MachinePrecision]}, If[LessEqual[b, -2.25e+201], t$95$1, If[LessEqual[b, -5.1e+152], N[(N[(i * y1), $MachinePrecision] * N[(x * j), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -9e+124], N[(N[(b * j), $MachinePrecision] * N[(t * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.7e+83], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.7e+48], N[(z * N[(a * N[(t * (-b)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -5e-94], N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.4e+170], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -2.25000000000000005e201 or 4.39999999999999978e170 < b

   1. Initial program 19.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 39.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 42.7%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 42.7%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 42.7%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 42.7%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 42.7%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 54.7%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(t \cdot \left(z \cdot b\right)\right)\right)} \]

   if -2.25000000000000005e201 < b < -5.0999999999999996e152

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 58.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 58.2%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 58.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 58.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 58.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 58.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 58.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 44.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 44.3%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 44.3%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 44.3%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 44.3%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 44.3%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 51.6%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 58.1%

          \[\leadsto \color{blue}{\left(y1 \cdot i\right) \cdot \left(j \cdot x\right)} \]

       2. *-commutative 58.1%

          \[\leadsto \left(y1 \cdot i\right) \cdot \color{blue}{\left(x \cdot j\right)} \]

   12. Simplified 58.1%

       \[\leadsto \color{blue}{\left(y1 \cdot i\right) \cdot \left(x \cdot j\right)} \]

   if -5.0999999999999996e152 < b < -9.0000000000000008e124

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 51.5%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 31.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 40.9%

         \[\leadsto \color{blue}{\left(y4 \cdot t\right) \cdot \left(b \cdot j\right)} \]

      2. *-commutative 40.9%

         \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(y4 \cdot t\right)} \]

      3. *-commutative 40.9%

         \[\leadsto \left(b \cdot j\right) \cdot \color{blue}{\left(t \cdot y4\right)} \]

   8. Simplified 40.9%

      \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(t \cdot y4\right)} \]

   if -9.0000000000000008e124 < b < -4.6999999999999999e83

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 11.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 45.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 45.7%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 45.7%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 45.7%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 45.7%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 45.7%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 45.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 67.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 67.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 67.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 67.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 56.6%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 56.6%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

   12. Simplified 56.6%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]

   if -4.6999999999999999e83 < b < -2.70000000000000004e48

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 47.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 54.5%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 54.5%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 54.5%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 54.5%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 54.5%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 54.5%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 48.1%

      \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b\right)} \cdot a\right) \cdot z\right) \]

   if -2.70000000000000004e48 < b < -4.9999999999999995e-94

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 54.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 54.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 54.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 54.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 54.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 54.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 54.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 38.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 38.5%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 38.5%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 38.5%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 38.5%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 38.5%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 43.0%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]

   if -4.9999999999999995e-94 < b < 4.39999999999999978e170

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 36.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 36.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 32.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 32.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 32.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 42.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.25 \cdot 10^{+201}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{elif}\;b \leq -5.1 \cdot 10^{+152}:\\ \;\;\;\;\left(i \cdot y1\right) \cdot \left(x \cdot j\right)\\ \mathbf{elif}\;b \leq -9 \cdot 10^{+124}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;b \leq -4.7 \cdot 10^{+83}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -2.7 \cdot 10^{+48}:\\ \;\;\;\;z \cdot \left(a \cdot \left(t \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;b \leq -5 \cdot 10^{-94}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{+170}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \end{array} \]

Alternative 18: 31.6% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ t_2 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;j \leq -1.75 \cdot 10^{+190}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -3.8 \cdot 10^{+117}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq -7.2 \cdot 10^{+51}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 3.65 \cdot 10^{-136}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 10^{-36}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{+42}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y2 (- (* x y0) (* t y4)))))
        (t_2 (* a (* y5 (- (* t y2) (* y y3))))))
   (if (<= j -1.75e+190)
     (* j (* y5 (- (* y0 y3) (* t i))))
     (if (<= j -3.8e+117)
       (* y4 (* y1 (- (* k y2) (* j y3))))
       (if (<= j -7.2e+51)
         (* c (* y (- (* y3 y4) (* x i))))
         (if (<= j -2.4e-76)
           t_2
           (if (<= j 3.65e-136)
             t_1
             (if (<= j 1e-36)
               t_2
               (if (<= j 1.8e+42)
                 t_1
                 (* t (* j (- (* b y4) (* i y5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y2 * ((x * y0) - (t * y4)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (j <= -1.75e+190) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (j <= -3.8e+117) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (j <= -7.2e+51) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (j <= -2.4e-76) {
		tmp = t_2;
	} else if (j <= 3.65e-136) {
		tmp = t_1;
	} else if (j <= 1e-36) {
		tmp = t_2;
	} else if (j <= 1.8e+42) {
		tmp = t_1;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (y2 * ((x * y0) - (t * y4)))
    t_2 = a * (y5 * ((t * y2) - (y * y3)))
    if (j <= (-1.75d+190)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (j <= (-3.8d+117)) then
        tmp = y4 * (y1 * ((k * y2) - (j * y3)))
    else if (j <= (-7.2d+51)) then
        tmp = c * (y * ((y3 * y4) - (x * i)))
    else if (j <= (-2.4d-76)) then
        tmp = t_2
    else if (j <= 3.65d-136) then
        tmp = t_1
    else if (j <= 1d-36) then
        tmp = t_2
    else if (j <= 1.8d+42) then
        tmp = t_1
    else
        tmp = t * (j * ((b * y4) - (i * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y2 * ((x * y0) - (t * y4)));
	double t_2 = a * (y5 * ((t * y2) - (y * y3)));
	double tmp;
	if (j <= -1.75e+190) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (j <= -3.8e+117) {
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	} else if (j <= -7.2e+51) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else if (j <= -2.4e-76) {
		tmp = t_2;
	} else if (j <= 3.65e-136) {
		tmp = t_1;
	} else if (j <= 1e-36) {
		tmp = t_2;
	} else if (j <= 1.8e+42) {
		tmp = t_1;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y2 * ((x * y0) - (t * y4)))
	t_2 = a * (y5 * ((t * y2) - (y * y3)))
	tmp = 0
	if j <= -1.75e+190:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif j <= -3.8e+117:
		tmp = y4 * (y1 * ((k * y2) - (j * y3)))
	elif j <= -7.2e+51:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	elif j <= -2.4e-76:
		tmp = t_2
	elif j <= 3.65e-136:
		tmp = t_1
	elif j <= 1e-36:
		tmp = t_2
	elif j <= 1.8e+42:
		tmp = t_1
	else:
		tmp = t * (j * ((b * y4) - (i * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	t_2 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	tmp = 0.0
	if (j <= -1.75e+190)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (j <= -3.8e+117)
		tmp = Float64(y4 * Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (j <= -7.2e+51)
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	elseif (j <= -2.4e-76)
		tmp = t_2;
	elseif (j <= 3.65e-136)
		tmp = t_1;
	elseif (j <= 1e-36)
		tmp = t_2;
	elseif (j <= 1.8e+42)
		tmp = t_1;
	else
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y2 * ((x * y0) - (t * y4)));
	t_2 = a * (y5 * ((t * y2) - (y * y3)));
	tmp = 0.0;
	if (j <= -1.75e+190)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (j <= -3.8e+117)
		tmp = y4 * (y1 * ((k * y2) - (j * y3)));
	elseif (j <= -7.2e+51)
		tmp = c * (y * ((y3 * y4) - (x * i)));
	elseif (j <= -2.4e-76)
		tmp = t_2;
	elseif (j <= 3.65e-136)
		tmp = t_1;
	elseif (j <= 1e-36)
		tmp = t_2;
	elseif (j <= 1.8e+42)
		tmp = t_1;
	else
		tmp = t * (j * ((b * y4) - (i * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.75e+190], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -3.8e+117], N[(y4 * N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7.2e+51], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.4e-76], t$95$2, If[LessEqual[j, 3.65e-136], t$95$1, If[LessEqual[j, 1e-36], t$95$2, If[LessEqual[j, 1.8e+42], t$95$1, N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -1.7499999999999999e190

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 58.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 58.3%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 58.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 58.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 58.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 58.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 58.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in y5 around inf 59.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 59.1%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right)\right)} \]

      2. cancel-sign-sub-inv 59.1%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(-1 \cdot \left(i \cdot t\right) + \left(--1\right) \cdot \left(y0 \cdot y3\right)\right)}\right) \]

      3. metadata-eval 59.1%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{1} \cdot \left(y0 \cdot y3\right)\right)\right) \]

      4. *-lft-identity 59.1%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{y0 \cdot y3}\right)\right) \]

      5. +-commutative 59.1%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right) \]

      6. mul-1-neg 59.1%

         \[\leadsto j \cdot \left(y5 \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right) \]

      7. sub-neg 59.1%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right) \]

   9. Simplified 59.1%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y0 \cdot y3 - i \cdot t\right)\right)} \]

   if -1.7499999999999999e190 < j < -3.8000000000000002e117

   1. Initial program 19.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 33.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in y1 around inf 48.1%

      \[\leadsto \color{blue}{y4 \cdot \left(y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right)} \]

   if -3.8000000000000002e117 < j < -7.20000000000000022e51

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 55.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 55.1%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 55.1%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 55.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 55.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 55.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 55.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y around -inf 64.7%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y4 \cdot y3 + -1 \cdot \left(i \cdot x\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 64.7%

         \[\leadsto c \cdot \left(y \cdot \left(y4 \cdot y3 + \color{blue}{\left(-i \cdot x\right)}\right)\right) \]

      2. unsub-neg 64.7%

         \[\leadsto c \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3 - i \cdot x\right)}\right) \]

      3. *-commutative 64.7%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{y3 \cdot y4} - i \cdot x\right)\right) \]

      4. *-commutative 64.7%

         \[\leadsto c \cdot \left(y \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right)\right) \]

   9. Simplified 64.7%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)} \]

   if -7.20000000000000022e51 < j < -2.40000000000000013e-76 or 3.6499999999999999e-136 < j < 9.9999999999999994e-37

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 52.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 52.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 52.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 48.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 48.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 48.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 48.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -2.40000000000000013e-76 < j < 3.6499999999999999e-136 or 9.9999999999999994e-37 < j < 1.8e42

   1. Initial program 38.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.3%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 53.3%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 53.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 53.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 53.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y2 around inf 39.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot x - y4 \cdot t\right) \cdot y2\right)} \]

   if 1.8e42 < j

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 52.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 52.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 52.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 52.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 52.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 52.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in t around inf 49.0%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 46.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.75 \cdot 10^{+190}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -3.8 \cdot 10^{+117}:\\ \;\;\;\;y4 \cdot \left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq -7.2 \cdot 10^{+51}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.65 \cdot 10^{-136}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 10^{-36}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 1.8 \cdot 10^{+42}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \]

Alternative 19: 29.5% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;c \leq -7.2 \cdot 10^{+99}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.45 \cdot 10^{-293}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-231}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-76}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 2 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+179}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* b (- (* t y4) (* x y0))))))
   (if (<= c -7.2e+99)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= c -5e-155)
       t_1
       (if (<= c -2.45e-293)
         (* (* a (* y3 y5)) (- y))
         (if (<= c 1.5e-231)
           t_1
           (if (<= c 1.7e-76)
             (* x (* a (- (* y b) (* y1 y2))))
             (if (<= c 2e+36)
               (* j (* y5 (- (* y0 y3) (* t i))))
               (if (<= c 1.15e+179)
                 (* t (* j (- (* b y4) (* i y5))))
                 (* c (* y (- (* y3 y4) (* x i)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (b * ((t * y4) - (x * y0)));
	double tmp;
	if (c <= -7.2e+99) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (c <= -5e-155) {
		tmp = t_1;
	} else if (c <= -2.45e-293) {
		tmp = (a * (y3 * y5)) * -y;
	} else if (c <= 1.5e-231) {
		tmp = t_1;
	} else if (c <= 1.7e-76) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (c <= 2e+36) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 1.15e+179) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = j * (b * ((t * y4) - (x * y0)))
    if (c <= (-7.2d+99)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (c <= (-5d-155)) then
        tmp = t_1
    else if (c <= (-2.45d-293)) then
        tmp = (a * (y3 * y5)) * -y
    else if (c <= 1.5d-231) then
        tmp = t_1
    else if (c <= 1.7d-76) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (c <= 2d+36) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (c <= 1.15d+179) then
        tmp = t * (j * ((b * y4) - (i * y5)))
    else
        tmp = c * (y * ((y3 * y4) - (x * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (b * ((t * y4) - (x * y0)));
	double tmp;
	if (c <= -7.2e+99) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (c <= -5e-155) {
		tmp = t_1;
	} else if (c <= -2.45e-293) {
		tmp = (a * (y3 * y5)) * -y;
	} else if (c <= 1.5e-231) {
		tmp = t_1;
	} else if (c <= 1.7e-76) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (c <= 2e+36) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 1.15e+179) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (b * ((t * y4) - (x * y0)))
	tmp = 0
	if c <= -7.2e+99:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif c <= -5e-155:
		tmp = t_1
	elif c <= -2.45e-293:
		tmp = (a * (y3 * y5)) * -y
	elif c <= 1.5e-231:
		tmp = t_1
	elif c <= 1.7e-76:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif c <= 2e+36:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif c <= 1.15e+179:
		tmp = t * (j * ((b * y4) - (i * y5)))
	else:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(b * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (c <= -7.2e+99)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (c <= -5e-155)
		tmp = t_1;
	elseif (c <= -2.45e-293)
		tmp = Float64(Float64(a * Float64(y3 * y5)) * Float64(-y));
	elseif (c <= 1.5e-231)
		tmp = t_1;
	elseif (c <= 1.7e-76)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (c <= 2e+36)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (c <= 1.15e+179)
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	else
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (b * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (c <= -7.2e+99)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (c <= -5e-155)
		tmp = t_1;
	elseif (c <= -2.45e-293)
		tmp = (a * (y3 * y5)) * -y;
	elseif (c <= 1.5e-231)
		tmp = t_1;
	elseif (c <= 1.7e-76)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (c <= 2e+36)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (c <= 1.15e+179)
		tmp = t * (j * ((b * y4) - (i * y5)));
	else
		tmp = c * (y * ((y3 * y4) - (x * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -7.2e+99], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -5e-155], t$95$1, If[LessEqual[c, -2.45e-293], N[(N[(a * N[(y3 * y5), $MachinePrecision]), $MachinePrecision] * (-y)), $MachinePrecision], If[LessEqual[c, 1.5e-231], t$95$1, If[LessEqual[c, 1.7e-76], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2e+36], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.15e+179], N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if c < -7.2000000000000003e99

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 61.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 61.9%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 61.9%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 61.9%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 61.9%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 61.9%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 61.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y0 around -inf 47.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -7.2000000000000003e99 < c < -4.9999999999999999e-155 or -2.45e-293 < c < 1.5000000000000001e-231

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 53.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 53.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 53.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 53.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 53.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 53.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in b around inf 50.9%

      \[\leadsto \color{blue}{j \cdot \left(b \cdot \left(y4 \cdot t - y0 \cdot x\right)\right)} \]

   if -4.9999999999999999e-155 < c < -2.45e-293

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 43.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 43.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 40.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 40.2%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 40.2%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 40.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y around inf 47.8%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]

   if 1.5000000000000001e-231 < c < 1.7e-76

   1. Initial program 23.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 24.1%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in a around inf 44.5%

      \[\leadsto \color{blue}{\left(\left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right) \cdot a\right)} \cdot x \]
   6. Step-by-step derivation

      1. *-commutative 44.5%

         \[\leadsto \color{blue}{\left(a \cdot \left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right)\right)} \cdot x \]

      2. mul-1-neg 44.5%

         \[\leadsto \left(a \cdot \left(y \cdot b + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot x \]

      3. unsub-neg 44.5%

         \[\leadsto \left(a \cdot \color{blue}{\left(y \cdot b - y1 \cdot y2\right)}\right) \cdot x \]

      4. *-commutative 44.5%

         \[\leadsto \left(a \cdot \left(\color{blue}{b \cdot y} - y1 \cdot y2\right)\right) \cdot x \]

   7. Simplified 44.5%

      \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \cdot x \]

   if 1.7e-76 < c < 2.00000000000000008e36

   1. Initial program 40.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 40.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 53.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.9%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 53.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 53.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 53.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 53.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 53.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in y5 around inf 42.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 42.0%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right)\right)} \]

      2. cancel-sign-sub-inv 42.0%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(-1 \cdot \left(i \cdot t\right) + \left(--1\right) \cdot \left(y0 \cdot y3\right)\right)}\right) \]

      3. metadata-eval 42.0%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{1} \cdot \left(y0 \cdot y3\right)\right)\right) \]

      4. *-lft-identity 42.0%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{y0 \cdot y3}\right)\right) \]

      5. +-commutative 42.0%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right) \]

      6. mul-1-neg 42.0%

         \[\leadsto j \cdot \left(y5 \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right) \]

      7. sub-neg 42.0%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right) \]

   9. Simplified 42.0%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y0 \cdot y3 - i \cdot t\right)\right)} \]

   if 2.00000000000000008e36 < c < 1.14999999999999997e179

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 28.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 28.2%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 28.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 28.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 28.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 28.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 28.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in t around inf 48.5%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]

   if 1.14999999999999997e179 < c

   1. Initial program 22.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 53.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 53.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 53.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 53.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 53.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 53.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y around -inf 44.6%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y4 \cdot y3 + -1 \cdot \left(i \cdot x\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 44.6%

         \[\leadsto c \cdot \left(y \cdot \left(y4 \cdot y3 + \color{blue}{\left(-i \cdot x\right)}\right)\right) \]

      2. unsub-neg 44.6%

         \[\leadsto c \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3 - i \cdot x\right)}\right) \]

      3. *-commutative 44.6%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{y3 \cdot y4} - i \cdot x\right)\right) \]

      4. *-commutative 44.6%

         \[\leadsto c \cdot \left(y \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right)\right) \]

   9. Simplified 44.6%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 47.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -7.2 \cdot 10^{+99}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-155}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -2.45 \cdot 10^{-293}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-231}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-76}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq 2 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+179}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \end{array} \]

Alternative 20: 30.8% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y5 \leq -6.8 \cdot 10^{+79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.2 \cdot 10^{-32}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1.2 \cdot 10^{-132}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -2.2 \cdot 10^{-235}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{+85}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{+129}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* j (- (* i y1) (* b y0))))))
   (if (<= y5 -6.8e+79)
     (* a (* y5 (- (* t y2) (* y y3))))
     (if (<= y5 -4.2e-32)
       (* x (* a (- (* y b) (* y1 y2))))
       (if (<= y5 -1.2e-132)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= y5 -2.2e-235)
           (* y4 (* b (- (* t j) (* y k))))
           (if (<= y5 5.2e-82)
             t_1
             (if (<= y5 1.65e+85)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= y5 2.8e+129)
                 t_1
                 (* t (* j (- (* b y4) (* i y5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y5 <= -6.8e+79) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -4.2e-32) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y5 <= -1.2e-132) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y5 <= -2.2e-235) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y5 <= 5.2e-82) {
		tmp = t_1;
	} else if (y5 <= 1.65e+85) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= 2.8e+129) {
		tmp = t_1;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x * (j * ((i * y1) - (b * y0)))
    if (y5 <= (-6.8d+79)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y5 <= (-4.2d-32)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (y5 <= (-1.2d-132)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (y5 <= (-2.2d-235)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (y5 <= 5.2d-82) then
        tmp = t_1
    else if (y5 <= 1.65d+85) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y5 <= 2.8d+129) then
        tmp = t_1
    else
        tmp = t * (j * ((b * y4) - (i * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y5 <= -6.8e+79) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -4.2e-32) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y5 <= -1.2e-132) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y5 <= -2.2e-235) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y5 <= 5.2e-82) {
		tmp = t_1;
	} else if (y5 <= 1.65e+85) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= 2.8e+129) {
		tmp = t_1;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (j * ((i * y1) - (b * y0)))
	tmp = 0
	if y5 <= -6.8e+79:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y5 <= -4.2e-32:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif y5 <= -1.2e-132:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif y5 <= -2.2e-235:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif y5 <= 5.2e-82:
		tmp = t_1
	elif y5 <= 1.65e+85:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y5 <= 2.8e+129:
		tmp = t_1
	else:
		tmp = t * (j * ((b * y4) - (i * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y5 <= -6.8e+79)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y5 <= -4.2e-32)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= -1.2e-132)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y5 <= -2.2e-235)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 5.2e-82)
		tmp = t_1;
	elseif (y5 <= 1.65e+85)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y5 <= 2.8e+129)
		tmp = t_1;
	else
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (j * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y5 <= -6.8e+79)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y5 <= -4.2e-32)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (y5 <= -1.2e-132)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (y5 <= -2.2e-235)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (y5 <= 5.2e-82)
		tmp = t_1;
	elseif (y5 <= 1.65e+85)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y5 <= 2.8e+129)
		tmp = t_1;
	else
		tmp = t * (j * ((b * y4) - (i * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -6.8e+79], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.2e-32], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.2e-132], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.2e-235], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.2e-82], t$95$1, If[LessEqual[y5, 1.65e+85], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.8e+129], t$95$1, N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -6.80000000000000063e79

   1. Initial program 30.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 47.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 47.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 47.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 55.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 55.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 55.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 55.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -6.80000000000000063e79 < y5 < -4.1999999999999998e-32

   1. Initial program 19.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 44.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in a around inf 44.0%

      \[\leadsto \color{blue}{\left(\left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right) \cdot a\right)} \cdot x \]
   6. Step-by-step derivation

      1. *-commutative 44.0%

         \[\leadsto \color{blue}{\left(a \cdot \left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right)\right)} \cdot x \]

      2. mul-1-neg 44.0%

         \[\leadsto \left(a \cdot \left(y \cdot b + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot x \]

      3. unsub-neg 44.0%

         \[\leadsto \left(a \cdot \color{blue}{\left(y \cdot b - y1 \cdot y2\right)}\right) \cdot x \]

      4. *-commutative 44.0%

         \[\leadsto \left(a \cdot \left(\color{blue}{b \cdot y} - y1 \cdot y2\right)\right) \cdot x \]

   7. Simplified 44.0%

      \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \cdot x \]

   if -4.1999999999999998e-32 < y5 < -1.20000000000000008e-132

   1. Initial program 35.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 48.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 48.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 48.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 48.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 48.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 48.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   if -1.20000000000000008e-132 < y5 < -2.19999999999999984e-235

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 55.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -2.19999999999999984e-235 < y5 < 5.2e-82 or 1.65e85 < y5 < 2.79999999999999975e129

   1. Initial program 35.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 42.8%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 49.8%

      \[\leadsto \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \cdot x \]

   if 5.2e-82 < y5 < 1.65e85

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 68.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 68.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 68.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 68.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 68.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y0 around -inf 44.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 2.79999999999999975e129 < y5

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 40.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 40.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 40.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 40.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 40.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in t around inf 56.5%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -6.8 \cdot 10^{+79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.2 \cdot 10^{-32}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1.2 \cdot 10^{-132}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -2.2 \cdot 10^{-235}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-82}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{+85}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{+129}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \]

Alternative 21: 30.6% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y5 \leq -2.3 \cdot 10^{+81}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.5 \cdot 10^{-33}:\\ \;\;\;\;\left(y \cdot b - y1 \cdot y2\right) \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y5 \leq -1.32 \cdot 10^{-133}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -2 \cdot 10^{-236}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 1.5 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 1.95 \cdot 10^{+82}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 7.4 \cdot 10^{+126}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* j (- (* i y1) (* b y0))))))
   (if (<= y5 -2.3e+81)
     (* a (* y5 (- (* t y2) (* y y3))))
     (if (<= y5 -1.5e-33)
       (* (- (* y b) (* y1 y2)) (* x a))
       (if (<= y5 -1.32e-133)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= y5 -2e-236)
           (* y4 (* b (- (* t j) (* y k))))
           (if (<= y5 1.5e-82)
             t_1
             (if (<= y5 1.95e+82)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= y5 7.4e+126)
                 t_1
                 (* t (* j (- (* b y4) (* i y5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y5 <= -2.3e+81) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -1.5e-33) {
		tmp = ((y * b) - (y1 * y2)) * (x * a);
	} else if (y5 <= -1.32e-133) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y5 <= -2e-236) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y5 <= 1.5e-82) {
		tmp = t_1;
	} else if (y5 <= 1.95e+82) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= 7.4e+126) {
		tmp = t_1;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x * (j * ((i * y1) - (b * y0)))
    if (y5 <= (-2.3d+81)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y5 <= (-1.5d-33)) then
        tmp = ((y * b) - (y1 * y2)) * (x * a)
    else if (y5 <= (-1.32d-133)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (y5 <= (-2d-236)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (y5 <= 1.5d-82) then
        tmp = t_1
    else if (y5 <= 1.95d+82) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y5 <= 7.4d+126) then
        tmp = t_1
    else
        tmp = t * (j * ((b * y4) - (i * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y5 <= -2.3e+81) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -1.5e-33) {
		tmp = ((y * b) - (y1 * y2)) * (x * a);
	} else if (y5 <= -1.32e-133) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y5 <= -2e-236) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y5 <= 1.5e-82) {
		tmp = t_1;
	} else if (y5 <= 1.95e+82) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= 7.4e+126) {
		tmp = t_1;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (j * ((i * y1) - (b * y0)))
	tmp = 0
	if y5 <= -2.3e+81:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y5 <= -1.5e-33:
		tmp = ((y * b) - (y1 * y2)) * (x * a)
	elif y5 <= -1.32e-133:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif y5 <= -2e-236:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif y5 <= 1.5e-82:
		tmp = t_1
	elif y5 <= 1.95e+82:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y5 <= 7.4e+126:
		tmp = t_1
	else:
		tmp = t * (j * ((b * y4) - (i * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y5 <= -2.3e+81)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y5 <= -1.5e-33)
		tmp = Float64(Float64(Float64(y * b) - Float64(y1 * y2)) * Float64(x * a));
	elseif (y5 <= -1.32e-133)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y5 <= -2e-236)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 1.5e-82)
		tmp = t_1;
	elseif (y5 <= 1.95e+82)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y5 <= 7.4e+126)
		tmp = t_1;
	else
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (j * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y5 <= -2.3e+81)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y5 <= -1.5e-33)
		tmp = ((y * b) - (y1 * y2)) * (x * a);
	elseif (y5 <= -1.32e-133)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (y5 <= -2e-236)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (y5 <= 1.5e-82)
		tmp = t_1;
	elseif (y5 <= 1.95e+82)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y5 <= 7.4e+126)
		tmp = t_1;
	else
		tmp = t * (j * ((b * y4) - (i * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.3e+81], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.5e-33], N[(N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision] * N[(x * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.32e-133], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2e-236], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.5e-82], t$95$1, If[LessEqual[y5, 1.95e+82], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.4e+126], t$95$1, N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -2.2999999999999999e81

   1. Initial program 30.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 47.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 47.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 47.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 55.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 55.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 55.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 55.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -2.2999999999999999e81 < y5 < -1.5000000000000001e-33

   1. Initial program 19.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 28.8%

      \[\leadsto \color{blue}{\left(\left(b \cdot \left(y \cdot x - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right) \cdot a} \]
   5. Step-by-step derivation

      1. *-commutative 28.8%

         \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot \left(y \cdot x - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)} \]

      2. associate--l+ 28.8%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(-1 \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right)} \]

      3. associate-*r* 28.8%

         \[\leadsto a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\color{blue}{\left(-1 \cdot y1\right) \cdot \left(y2 \cdot x - y3 \cdot z\right)} - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right) \]

      4. *-commutative 28.8%

         \[\leadsto a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\left(-1 \cdot y1\right) \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right) \]

      5. associate-*r* 28.8%

         \[\leadsto a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\color{blue}{-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right) \]

   6. Simplified 28.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\left(-y1 \cdot \left(y2 \cdot x - z \cdot y3\right)\right) - \left(-\left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5\right)\right)} \]

   7. Taylor expanded in x around inf 43.9%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 44.0%

         \[\leadsto \color{blue}{\left(a \cdot x\right) \cdot \left(y \cdot b - y1 \cdot y2\right)} \]

      2. *-commutative 44.0%

         \[\leadsto \color{blue}{\left(y \cdot b - y1 \cdot y2\right) \cdot \left(a \cdot x\right)} \]

      3. *-commutative 44.0%

         \[\leadsto \left(\color{blue}{b \cdot y} - y1 \cdot y2\right) \cdot \left(a \cdot x\right) \]

      4. *-commutative 44.0%

         \[\leadsto \left(b \cdot y - \color{blue}{y2 \cdot y1}\right) \cdot \left(a \cdot x\right) \]

   9. Simplified 44.0%

      \[\leadsto \color{blue}{\left(b \cdot y - y2 \cdot y1\right) \cdot \left(a \cdot x\right)} \]

   if -1.5000000000000001e-33 < y5 < -1.32000000000000008e-133

   1. Initial program 35.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 48.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 48.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 48.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 48.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 48.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 48.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   if -1.32000000000000008e-133 < y5 < -2.0000000000000001e-236

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 55.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -2.0000000000000001e-236 < y5 < 1.4999999999999999e-82 or 1.94999999999999988e82 < y5 < 7.3999999999999996e126

   1. Initial program 35.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 42.8%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 49.8%

      \[\leadsto \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \cdot x \]

   if 1.4999999999999999e-82 < y5 < 1.94999999999999988e82

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 68.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 68.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 68.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 68.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 68.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y0 around -inf 44.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 7.3999999999999996e126 < y5

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 40.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 40.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 40.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 40.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 40.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in t around inf 56.5%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.3 \cdot 10^{+81}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.5 \cdot 10^{-33}:\\ \;\;\;\;\left(y \cdot b - y1 \cdot y2\right) \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y5 \leq -1.32 \cdot 10^{-133}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -2 \cdot 10^{-236}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 1.5 \cdot 10^{-82}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.95 \cdot 10^{+82}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 7.4 \cdot 10^{+126}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \]

Alternative 22: 30.4% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y5 \leq -9.2 \cdot 10^{+82}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -5.6 \cdot 10^{-32}:\\ \;\;\;\;\left(y \cdot b - y1 \cdot y2\right) \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y5 \leq -4.4 \cdot 10^{-134}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -2.3 \cdot 10^{-235}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 2.05 \cdot 10^{+79}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 6 \cdot 10^{+134}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* j (- (* i y1) (* b y0))))))
   (if (<= y5 -9.2e+82)
     (* a (* y5 (- (* t y2) (* y y3))))
     (if (<= y5 -5.6e-32)
       (* (- (* y b) (* y1 y2)) (* x a))
       (if (<= y5 -4.4e-134)
         (* x (* c (- (* y0 y2) (* y i))))
         (if (<= y5 -2.3e-235)
           (* y4 (* b (- (* t j) (* y k))))
           (if (<= y5 1e-80)
             t_1
             (if (<= y5 2.05e+79)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= y5 6e+134)
                 t_1
                 (* j (* i (- (* x y1) (* t y5)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y5 <= -9.2e+82) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -5.6e-32) {
		tmp = ((y * b) - (y1 * y2)) * (x * a);
	} else if (y5 <= -4.4e-134) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y5 <= -2.3e-235) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y5 <= 1e-80) {
		tmp = t_1;
	} else if (y5 <= 2.05e+79) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= 6e+134) {
		tmp = t_1;
	} else {
		tmp = j * (i * ((x * y1) - (t * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x * (j * ((i * y1) - (b * y0)))
    if (y5 <= (-9.2d+82)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y5 <= (-5.6d-32)) then
        tmp = ((y * b) - (y1 * y2)) * (x * a)
    else if (y5 <= (-4.4d-134)) then
        tmp = x * (c * ((y0 * y2) - (y * i)))
    else if (y5 <= (-2.3d-235)) then
        tmp = y4 * (b * ((t * j) - (y * k)))
    else if (y5 <= 1d-80) then
        tmp = t_1
    else if (y5 <= 2.05d+79) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y5 <= 6d+134) then
        tmp = t_1
    else
        tmp = j * (i * ((x * y1) - (t * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (j * ((i * y1) - (b * y0)));
	double tmp;
	if (y5 <= -9.2e+82) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -5.6e-32) {
		tmp = ((y * b) - (y1 * y2)) * (x * a);
	} else if (y5 <= -4.4e-134) {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	} else if (y5 <= -2.3e-235) {
		tmp = y4 * (b * ((t * j) - (y * k)));
	} else if (y5 <= 1e-80) {
		tmp = t_1;
	} else if (y5 <= 2.05e+79) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= 6e+134) {
		tmp = t_1;
	} else {
		tmp = j * (i * ((x * y1) - (t * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (j * ((i * y1) - (b * y0)))
	tmp = 0
	if y5 <= -9.2e+82:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y5 <= -5.6e-32:
		tmp = ((y * b) - (y1 * y2)) * (x * a)
	elif y5 <= -4.4e-134:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	elif y5 <= -2.3e-235:
		tmp = y4 * (b * ((t * j) - (y * k)))
	elif y5 <= 1e-80:
		tmp = t_1
	elif y5 <= 2.05e+79:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y5 <= 6e+134:
		tmp = t_1
	else:
		tmp = j * (i * ((x * y1) - (t * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y5 <= -9.2e+82)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y5 <= -5.6e-32)
		tmp = Float64(Float64(Float64(y * b) - Float64(y1 * y2)) * Float64(x * a));
	elseif (y5 <= -4.4e-134)
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y5 <= -2.3e-235)
		tmp = Float64(y4 * Float64(b * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 1e-80)
		tmp = t_1;
	elseif (y5 <= 2.05e+79)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y5 <= 6e+134)
		tmp = t_1;
	else
		tmp = Float64(j * Float64(i * Float64(Float64(x * y1) - Float64(t * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (j * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y5 <= -9.2e+82)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y5 <= -5.6e-32)
		tmp = ((y * b) - (y1 * y2)) * (x * a);
	elseif (y5 <= -4.4e-134)
		tmp = x * (c * ((y0 * y2) - (y * i)));
	elseif (y5 <= -2.3e-235)
		tmp = y4 * (b * ((t * j) - (y * k)));
	elseif (y5 <= 1e-80)
		tmp = t_1;
	elseif (y5 <= 2.05e+79)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y5 <= 6e+134)
		tmp = t_1;
	else
		tmp = j * (i * ((x * y1) - (t * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -9.2e+82], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.6e-32], N[(N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision] * N[(x * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.4e-134], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.3e-235], N[(y4 * N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1e-80], t$95$1, If[LessEqual[y5, 2.05e+79], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 6e+134], t$95$1, N[(j * N[(i * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -9.19999999999999953e82

   1. Initial program 30.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 47.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 47.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 47.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 55.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 55.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 55.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 55.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -9.19999999999999953e82 < y5 < -5.5999999999999998e-32

   1. Initial program 19.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 28.8%

      \[\leadsto \color{blue}{\left(\left(b \cdot \left(y \cdot x - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right) \cdot a} \]
   5. Step-by-step derivation

      1. *-commutative 28.8%

         \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot \left(y \cdot x - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)} \]

      2. associate--l+ 28.8%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(-1 \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right)} \]

      3. associate-*r* 28.8%

         \[\leadsto a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\color{blue}{\left(-1 \cdot y1\right) \cdot \left(y2 \cdot x - y3 \cdot z\right)} - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right) \]

      4. *-commutative 28.8%

         \[\leadsto a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\left(-1 \cdot y1\right) \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right) \]

      5. associate-*r* 28.8%

         \[\leadsto a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\color{blue}{-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} - -1 \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)\right)\right) \]

   6. Simplified 28.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) + \left(\left(-y1 \cdot \left(y2 \cdot x - z \cdot y3\right)\right) - \left(-\left(t \cdot y2 - y \cdot y3\right)\right) \cdot y5\right)\right)} \]

   7. Taylor expanded in x around inf 43.9%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 44.0%

         \[\leadsto \color{blue}{\left(a \cdot x\right) \cdot \left(y \cdot b - y1 \cdot y2\right)} \]

      2. *-commutative 44.0%

         \[\leadsto \color{blue}{\left(y \cdot b - y1 \cdot y2\right) \cdot \left(a \cdot x\right)} \]

      3. *-commutative 44.0%

         \[\leadsto \left(\color{blue}{b \cdot y} - y1 \cdot y2\right) \cdot \left(a \cdot x\right) \]

      4. *-commutative 44.0%

         \[\leadsto \left(b \cdot y - \color{blue}{y2 \cdot y1}\right) \cdot \left(a \cdot x\right) \]

   9. Simplified 44.0%

      \[\leadsto \color{blue}{\left(b \cdot y - y2 \cdot y1\right) \cdot \left(a \cdot x\right)} \]

   if -5.5999999999999998e-32 < y5 < -4.3999999999999999e-134

   1. Initial program 35.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 48.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 48.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 48.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 48.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 48.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 48.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 48.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   if -4.3999999999999999e-134 < y5 < -2.29999999999999997e-235

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in b around inf 55.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot b\right)} \]

   if -2.29999999999999997e-235 < y5 < 9.99999999999999961e-81 or 2.05e79 < y5 < 5.99999999999999993e134

   1. Initial program 34.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 43.6%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in j around inf 50.5%

      \[\leadsto \color{blue}{\left(j \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \cdot x \]

   if 9.99999999999999961e-81 < y5 < 2.05e79

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 68.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 68.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 68.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 68.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 68.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y0 around -inf 44.3%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 5.99999999999999993e134 < y5

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 42.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 42.1%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 42.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 42.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 42.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 42.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 42.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 52.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 52.2%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 52.2%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 52.2%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 52.2%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 52.2%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in i around 0 52.2%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 52.2%

          \[\leadsto \color{blue}{-i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

       2. *-commutative 52.2%

          \[\leadsto -\color{blue}{\left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \cdot i} \]

       3. *-commutative 52.2%

          \[\leadsto -\color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \cdot i \]

       4. *-commutative 52.2%

          \[\leadsto -\left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \cdot i \]

       5. distribute-rgt-neg-out 52.2%

          \[\leadsto \color{blue}{\left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right) \cdot \left(-i\right)} \]

       6. associate-*l* 55.2%

          \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot y5 - x \cdot y1\right) \cdot \left(-i\right)\right)} \]

   12. Simplified 55.2%

       \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot y5 - x \cdot y1\right) \cdot \left(-i\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 51.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -9.2 \cdot 10^{+82}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -5.6 \cdot 10^{-32}:\\ \;\;\;\;\left(y \cdot b - y1 \cdot y2\right) \cdot \left(x \cdot a\right)\\ \mathbf{elif}\;y5 \leq -4.4 \cdot 10^{-134}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq -2.3 \cdot 10^{-235}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{-80}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 2.05 \cdot 10^{+79}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 6 \cdot 10^{+134}:\\ \;\;\;\;x \cdot \left(j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(i \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\\ \end{array} \]

Alternative 23: 21.8% accurate, 3.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ t_2 := i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{if}\;t \leq -6.5 \cdot 10^{+185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{+69}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-279}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-245}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+32}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{+156}:\\ \;\;\;\;i \cdot \left(j \cdot \left(y5 \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{+271}:\\ \;\;\;\;\left(y4 \cdot \left(t \cdot y2\right)\right) \cdot \left(-c\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* t (* z b)) (- a))) (t_2 (* i (* y1 (* x j)))))
   (if (<= t -6.5e+185)
     t_1
     (if (<= t -1.65e+69)
       (* x (* c (* i (- y))))
       (if (<= t -7e-279)
         t_2
         (if (<= t 5.2e-281)
           (* (- a) (* y (* y3 y5)))
           (if (<= t 7e-245)
             t_2
             (if (<= t 1.3e+32)
               (* (* x y) (* i (- c)))
               (if (<= t 1.55e+156)
                 (* i (* j (* y5 (- t))))
                 (if (<= t 4.6e+271) (* (* y4 (* t y2)) (- c)) t_1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * (z * b)) * -a;
	double t_2 = i * (y1 * (x * j));
	double tmp;
	if (t <= -6.5e+185) {
		tmp = t_1;
	} else if (t <= -1.65e+69) {
		tmp = x * (c * (i * -y));
	} else if (t <= -7e-279) {
		tmp = t_2;
	} else if (t <= 5.2e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 7e-245) {
		tmp = t_2;
	} else if (t <= 1.3e+32) {
		tmp = (x * y) * (i * -c);
	} else if (t <= 1.55e+156) {
		tmp = i * (j * (y5 * -t));
	} else if (t <= 4.6e+271) {
		tmp = (y4 * (t * y2)) * -c;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (t * (z * b)) * -a
    t_2 = i * (y1 * (x * j))
    if (t <= (-6.5d+185)) then
        tmp = t_1
    else if (t <= (-1.65d+69)) then
        tmp = x * (c * (i * -y))
    else if (t <= (-7d-279)) then
        tmp = t_2
    else if (t <= 5.2d-281) then
        tmp = -a * (y * (y3 * y5))
    else if (t <= 7d-245) then
        tmp = t_2
    else if (t <= 1.3d+32) then
        tmp = (x * y) * (i * -c)
    else if (t <= 1.55d+156) then
        tmp = i * (j * (y5 * -t))
    else if (t <= 4.6d+271) then
        tmp = (y4 * (t * y2)) * -c
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * (z * b)) * -a;
	double t_2 = i * (y1 * (x * j));
	double tmp;
	if (t <= -6.5e+185) {
		tmp = t_1;
	} else if (t <= -1.65e+69) {
		tmp = x * (c * (i * -y));
	} else if (t <= -7e-279) {
		tmp = t_2;
	} else if (t <= 5.2e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 7e-245) {
		tmp = t_2;
	} else if (t <= 1.3e+32) {
		tmp = (x * y) * (i * -c);
	} else if (t <= 1.55e+156) {
		tmp = i * (j * (y5 * -t));
	} else if (t <= 4.6e+271) {
		tmp = (y4 * (t * y2)) * -c;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * (z * b)) * -a
	t_2 = i * (y1 * (x * j))
	tmp = 0
	if t <= -6.5e+185:
		tmp = t_1
	elif t <= -1.65e+69:
		tmp = x * (c * (i * -y))
	elif t <= -7e-279:
		tmp = t_2
	elif t <= 5.2e-281:
		tmp = -a * (y * (y3 * y5))
	elif t <= 7e-245:
		tmp = t_2
	elif t <= 1.3e+32:
		tmp = (x * y) * (i * -c)
	elif t <= 1.55e+156:
		tmp = i * (j * (y5 * -t))
	elif t <= 4.6e+271:
		tmp = (y4 * (t * y2)) * -c
	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(Float64(t * Float64(z * b)) * Float64(-a))
	t_2 = Float64(i * Float64(y1 * Float64(x * j)))
	tmp = 0.0
	if (t <= -6.5e+185)
		tmp = t_1;
	elseif (t <= -1.65e+69)
		tmp = Float64(x * Float64(c * Float64(i * Float64(-y))));
	elseif (t <= -7e-279)
		tmp = t_2;
	elseif (t <= 5.2e-281)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	elseif (t <= 7e-245)
		tmp = t_2;
	elseif (t <= 1.3e+32)
		tmp = Float64(Float64(x * y) * Float64(i * Float64(-c)));
	elseif (t <= 1.55e+156)
		tmp = Float64(i * Float64(j * Float64(y5 * Float64(-t))));
	elseif (t <= 4.6e+271)
		tmp = Float64(Float64(y4 * Float64(t * y2)) * Float64(-c));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * (z * b)) * -a;
	t_2 = i * (y1 * (x * j));
	tmp = 0.0;
	if (t <= -6.5e+185)
		tmp = t_1;
	elseif (t <= -1.65e+69)
		tmp = x * (c * (i * -y));
	elseif (t <= -7e-279)
		tmp = t_2;
	elseif (t <= 5.2e-281)
		tmp = -a * (y * (y3 * y5));
	elseif (t <= 7e-245)
		tmp = t_2;
	elseif (t <= 1.3e+32)
		tmp = (x * y) * (i * -c);
	elseif (t <= 1.55e+156)
		tmp = i * (j * (y5 * -t));
	elseif (t <= 4.6e+271)
		tmp = (y4 * (t * y2)) * -c;
	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[(N[(t * N[(z * b), $MachinePrecision]), $MachinePrecision] * (-a)), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -6.5e+185], t$95$1, If[LessEqual[t, -1.65e+69], N[(x * N[(c * N[(i * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -7e-279], t$95$2, If[LessEqual[t, 5.2e-281], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7e-245], t$95$2, If[LessEqual[t, 1.3e+32], N[(N[(x * y), $MachinePrecision] * N[(i * (-c)), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.55e+156], N[(i * N[(j * N[(y5 * (-t)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4.6e+271], N[(N[(y4 * N[(t * y2), $MachinePrecision]), $MachinePrecision] * (-c)), $MachinePrecision], t$95$1]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if t < -6.5000000000000002e185 or 4.6000000000000001e271 < t

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 51.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 46.3%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 46.3%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 46.3%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 46.3%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 46.3%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 54.9%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(t \cdot \left(z \cdot b\right)\right)\right)} \]

   if -6.5000000000000002e185 < t < -1.6499999999999999e69

   1. Initial program 31.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 32.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 32.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 32.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 58.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 58.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 58.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 48.4%

       \[\leadsto \left(c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \cdot x \]
   11. Step-by-step derivation

       1. neg-mul-1 48.4%

          \[\leadsto \left(c \cdot \color{blue}{\left(-y \cdot i\right)}\right) \cdot x \]

       2. distribute-rgt-neg-in 48.4%

          \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   12. Simplified 48.4%

       \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   if -1.6499999999999999e69 < t < -7.00000000000000019e-279 or 5.2000000000000001e-281 < t < 7.00000000000000033e-245

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 48.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 48.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 48.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 29.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.9%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 29.9%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 29.9%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 29.9%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 29.9%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 31.7%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if -7.00000000000000019e-279 < t < 5.2000000000000001e-281

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 55.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 55.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 55.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 55.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 7.00000000000000033e-245 < t < 1.3000000000000001e32

   1. Initial program 38.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.3%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 44.3%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 44.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 44.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 44.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 44.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 32.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 28.0%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 28.0%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 28.0%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 26.4%

       \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 26.4%

          \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x\right)\right)} \]

       2. associate-*r* 28.0%

          \[\leadsto -c \cdot \color{blue}{\left(\left(y \cdot i\right) \cdot x\right)} \]

       3. *-commutative 28.0%

          \[\leadsto -c \cdot \left(\color{blue}{\left(i \cdot y\right)} \cdot x\right) \]

       4. associate-*r* 26.4%

          \[\leadsto -c \cdot \color{blue}{\left(i \cdot \left(y \cdot x\right)\right)} \]

       5. associate-*r* 28.0%

          \[\leadsto -\color{blue}{\left(c \cdot i\right) \cdot \left(y \cdot x\right)} \]

       6. *-commutative 28.0%

          \[\leadsto -\left(c \cdot i\right) \cdot \color{blue}{\left(x \cdot y\right)} \]

   12. Simplified 28.0%

       \[\leadsto \color{blue}{-\left(c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   if 1.3000000000000001e32 < t < 1.5500000000000001e156

   1. Initial program 31.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 41.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 41.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 41.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 41.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 41.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 41.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 41.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 42.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.2%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 42.2%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 42.2%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 42.2%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 42.2%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around inf 35.3%

       \[\leadsto \left(-i\right) \cdot \left(j \cdot \color{blue}{\left(t \cdot y5\right)}\right) \]

   if 1.5500000000000001e156 < t < 4.6000000000000001e271

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 36.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 56.3%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 56.4%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 39.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -6.5 \cdot 10^{+185}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{elif}\;t \leq -1.65 \cdot 10^{+69}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-279}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{-245}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+32}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{+156}:\\ \;\;\;\;i \cdot \left(j \cdot \left(y5 \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{+271}:\\ \;\;\;\;\left(y4 \cdot \left(t \cdot y2\right)\right) \cdot \left(-c\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \end{array} \]

Alternative 24: 27.9% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -4.2 \cdot 10^{+21}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -7.8 \cdot 10^{-109}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -3.1 \cdot 10^{-193}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;y5 \leq -3.6 \cdot 10^{-240}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 9.6 \cdot 10^{-304}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{+172}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(\left(j \cdot y5\right) \cdot \left(-t\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -4.2e+21)
   (* a (* y5 (- (* t y2) (* y y3))))
   (if (<= y5 -7.8e-109)
     (* x (* c (* i (- y))))
     (if (<= y5 -3.1e-193)
       (* (* y2 (* t c)) (- y4))
       (if (<= y5 -3.6e-240)
         (* y4 (* b (* t j)))
         (if (<= y5 9.6e-304)
           (* i (* y1 (* x j)))
           (if (<= y5 8e+172)
             (* c (* y (- (* y3 y4) (* x i))))
             (* i (* (* j y5) (- t))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -4.2e+21) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -7.8e-109) {
		tmp = x * (c * (i * -y));
	} else if (y5 <= -3.1e-193) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (y5 <= -3.6e-240) {
		tmp = y4 * (b * (t * j));
	} else if (y5 <= 9.6e-304) {
		tmp = i * (y1 * (x * j));
	} else if (y5 <= 8e+172) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else {
		tmp = i * ((j * y5) * -t);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-4.2d+21)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y5 <= (-7.8d-109)) then
        tmp = x * (c * (i * -y))
    else if (y5 <= (-3.1d-193)) then
        tmp = (y2 * (t * c)) * -y4
    else if (y5 <= (-3.6d-240)) then
        tmp = y4 * (b * (t * j))
    else if (y5 <= 9.6d-304) then
        tmp = i * (y1 * (x * j))
    else if (y5 <= 8d+172) then
        tmp = c * (y * ((y3 * y4) - (x * i)))
    else
        tmp = i * ((j * y5) * -t)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -4.2e+21) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= -7.8e-109) {
		tmp = x * (c * (i * -y));
	} else if (y5 <= -3.1e-193) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (y5 <= -3.6e-240) {
		tmp = y4 * (b * (t * j));
	} else if (y5 <= 9.6e-304) {
		tmp = i * (y1 * (x * j));
	} else if (y5 <= 8e+172) {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	} else {
		tmp = i * ((j * y5) * -t);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -4.2e+21:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y5 <= -7.8e-109:
		tmp = x * (c * (i * -y))
	elif y5 <= -3.1e-193:
		tmp = (y2 * (t * c)) * -y4
	elif y5 <= -3.6e-240:
		tmp = y4 * (b * (t * j))
	elif y5 <= 9.6e-304:
		tmp = i * (y1 * (x * j))
	elif y5 <= 8e+172:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	else:
		tmp = i * ((j * y5) * -t)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -4.2e+21)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y5 <= -7.8e-109)
		tmp = Float64(x * Float64(c * Float64(i * Float64(-y))));
	elseif (y5 <= -3.1e-193)
		tmp = Float64(Float64(y2 * Float64(t * c)) * Float64(-y4));
	elseif (y5 <= -3.6e-240)
		tmp = Float64(y4 * Float64(b * Float64(t * j)));
	elseif (y5 <= 9.6e-304)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y5 <= 8e+172)
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	else
		tmp = Float64(i * Float64(Float64(j * y5) * Float64(-t)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -4.2e+21)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y5 <= -7.8e-109)
		tmp = x * (c * (i * -y));
	elseif (y5 <= -3.1e-193)
		tmp = (y2 * (t * c)) * -y4;
	elseif (y5 <= -3.6e-240)
		tmp = y4 * (b * (t * j));
	elseif (y5 <= 9.6e-304)
		tmp = i * (y1 * (x * j));
	elseif (y5 <= 8e+172)
		tmp = c * (y * ((y3 * y4) - (x * i)));
	else
		tmp = i * ((j * y5) * -t);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -4.2e+21], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7.8e-109], N[(x * N[(c * N[(i * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.1e-193], N[(N[(y2 * N[(t * c), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision], If[LessEqual[y5, -3.6e-240], N[(y4 * N[(b * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.6e-304], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8e+172], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(N[(j * y5), $MachinePrecision] * (-t)), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -4.2e21

   1. Initial program 29.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 43.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 43.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 43.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 52.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 52.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -4.2e21 < y5 < -7.80000000000000046e-109

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 34.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 34.1%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 34.1%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 34.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 34.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 34.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 34.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 36.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 38.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 38.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 38.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 34.5%

       \[\leadsto \left(c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \cdot x \]
   11. Step-by-step derivation

       1. neg-mul-1 34.5%

          \[\leadsto \left(c \cdot \color{blue}{\left(-y \cdot i\right)}\right) \cdot x \]

       2. distribute-rgt-neg-in 34.5%

          \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   12. Simplified 34.5%

       \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   if -7.80000000000000046e-109 < y5 < -3.1000000000000002e-193

   1. Initial program 43.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 39.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 37.0%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 28.3%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 28.3%

         \[\leadsto y4 \cdot \color{blue}{\left(-c \cdot \left(t \cdot y2\right)\right)} \]

      2. associate-*r* 36.5%

         \[\leadsto y4 \cdot \left(-\color{blue}{\left(c \cdot t\right) \cdot y2}\right) \]

   8. Simplified 36.5%

      \[\leadsto y4 \cdot \color{blue}{\left(-\left(c \cdot t\right) \cdot y2\right)} \]

   if -3.1000000000000002e-193 < y5 < -3.5999999999999999e-240

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 50.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 67.5%

      \[\leadsto y4 \cdot \color{blue}{\left(t \cdot \left(j \cdot b\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 67.5%

         \[\leadsto y4 \cdot \color{blue}{\left(\left(t \cdot j\right) \cdot b\right)} \]

      2. *-commutative 67.5%

         \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   8. Simplified 67.5%

      \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   if -3.5999999999999999e-240 < y5 < 9.6000000000000004e-304

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 68.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 68.3%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 68.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 68.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 68.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 68.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 68.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 43.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.2%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 43.2%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 43.2%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 43.2%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 43.2%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 59.4%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if 9.6000000000000004e-304 < y5 < 8.0000000000000007e172

   1. Initial program 32.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 53.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.1%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 53.1%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 53.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 53.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 53.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 53.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y around -inf 32.3%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y4 \cdot y3 + -1 \cdot \left(i \cdot x\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 32.3%

         \[\leadsto c \cdot \left(y \cdot \left(y4 \cdot y3 + \color{blue}{\left(-i \cdot x\right)}\right)\right) \]

      2. unsub-neg 32.3%

         \[\leadsto c \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3 - i \cdot x\right)}\right) \]

      3. *-commutative 32.3%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{y3 \cdot y4} - i \cdot x\right)\right) \]

      4. *-commutative 32.3%

         \[\leadsto c \cdot \left(y \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right)\right) \]

   9. Simplified 32.3%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)} \]

   if 8.0000000000000007e172 < y5

   1. Initial program 29.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 44.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 44.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 44.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 44.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 44.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 44.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 52.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 52.5%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 52.5%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 52.5%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 52.5%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 52.5%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around inf 45.2%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(t \cdot \left(j \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 45.2%

          \[\leadsto \color{blue}{-i \cdot \left(t \cdot \left(j \cdot y5\right)\right)} \]

       2. *-commutative 45.2%

          \[\leadsto -\color{blue}{\left(t \cdot \left(j \cdot y5\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 45.2%

          \[\leadsto \color{blue}{\left(t \cdot \left(j \cdot y5\right)\right) \cdot \left(-i\right)} \]

       4. *-commutative 45.2%

          \[\leadsto \left(t \cdot \color{blue}{\left(y5 \cdot j\right)}\right) \cdot \left(-i\right) \]

   12. Simplified 45.2%

       \[\leadsto \color{blue}{\left(t \cdot \left(y5 \cdot j\right)\right) \cdot \left(-i\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 41.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4.2 \cdot 10^{+21}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -7.8 \cdot 10^{-109}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -3.1 \cdot 10^{-193}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;y5 \leq -3.6 \cdot 10^{-240}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 9.6 \cdot 10^{-304}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{+172}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(\left(j \cdot y5\right) \cdot \left(-t\right)\right)\\ \end{array} \]

Alternative 25: 30.2% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_2 := j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ t_3 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{if}\;j \leq -1.35 \cdot 10^{+76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.2 \cdot 10^{-76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 3.65 \cdot 10^{-136}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 5.3 \cdot 10^{+185}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(\left(j \cdot y5\right) \cdot \left(-t\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y5 (- (* t y2) (* y y3)))))
        (t_2 (* j (* b (- (* t y4) (* x y0)))))
        (t_3 (* c (* y2 (- (* x y0) (* t y4))))))
   (if (<= j -1.35e+76)
     t_2
     (if (<= j -2.2e-76)
       t_1
       (if (<= j 3.65e-136)
         t_3
         (if (<= j 9.5e-37)
           t_1
           (if (<= j 4e+48)
             t_3
             (if (<= j 5.3e+185) t_2 (* i (* (* j y5) (- t)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double t_2 = j * (b * ((t * y4) - (x * y0)));
	double t_3 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (j <= -1.35e+76) {
		tmp = t_2;
	} else if (j <= -2.2e-76) {
		tmp = t_1;
	} else if (j <= 3.65e-136) {
		tmp = t_3;
	} else if (j <= 9.5e-37) {
		tmp = t_1;
	} else if (j <= 4e+48) {
		tmp = t_3;
	} else if (j <= 5.3e+185) {
		tmp = t_2;
	} else {
		tmp = i * ((j * y5) * -t);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = a * (y5 * ((t * y2) - (y * y3)))
    t_2 = j * (b * ((t * y4) - (x * y0)))
    t_3 = c * (y2 * ((x * y0) - (t * y4)))
    if (j <= (-1.35d+76)) then
        tmp = t_2
    else if (j <= (-2.2d-76)) then
        tmp = t_1
    else if (j <= 3.65d-136) then
        tmp = t_3
    else if (j <= 9.5d-37) then
        tmp = t_1
    else if (j <= 4d+48) then
        tmp = t_3
    else if (j <= 5.3d+185) then
        tmp = t_2
    else
        tmp = i * ((j * y5) * -t)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double t_2 = j * (b * ((t * y4) - (x * y0)));
	double t_3 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (j <= -1.35e+76) {
		tmp = t_2;
	} else if (j <= -2.2e-76) {
		tmp = t_1;
	} else if (j <= 3.65e-136) {
		tmp = t_3;
	} else if (j <= 9.5e-37) {
		tmp = t_1;
	} else if (j <= 4e+48) {
		tmp = t_3;
	} else if (j <= 5.3e+185) {
		tmp = t_2;
	} else {
		tmp = i * ((j * y5) * -t);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y5 * ((t * y2) - (y * y3)))
	t_2 = j * (b * ((t * y4) - (x * y0)))
	t_3 = c * (y2 * ((x * y0) - (t * y4)))
	tmp = 0
	if j <= -1.35e+76:
		tmp = t_2
	elif j <= -2.2e-76:
		tmp = t_1
	elif j <= 3.65e-136:
		tmp = t_3
	elif j <= 9.5e-37:
		tmp = t_1
	elif j <= 4e+48:
		tmp = t_3
	elif j <= 5.3e+185:
		tmp = t_2
	else:
		tmp = i * ((j * y5) * -t)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	t_2 = Float64(j * Float64(b * Float64(Float64(t * y4) - Float64(x * y0))))
	t_3 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	tmp = 0.0
	if (j <= -1.35e+76)
		tmp = t_2;
	elseif (j <= -2.2e-76)
		tmp = t_1;
	elseif (j <= 3.65e-136)
		tmp = t_3;
	elseif (j <= 9.5e-37)
		tmp = t_1;
	elseif (j <= 4e+48)
		tmp = t_3;
	elseif (j <= 5.3e+185)
		tmp = t_2;
	else
		tmp = Float64(i * Float64(Float64(j * y5) * Float64(-t)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y5 * ((t * y2) - (y * y3)));
	t_2 = j * (b * ((t * y4) - (x * y0)));
	t_3 = c * (y2 * ((x * y0) - (t * y4)));
	tmp = 0.0;
	if (j <= -1.35e+76)
		tmp = t_2;
	elseif (j <= -2.2e-76)
		tmp = t_1;
	elseif (j <= 3.65e-136)
		tmp = t_3;
	elseif (j <= 9.5e-37)
		tmp = t_1;
	elseif (j <= 4e+48)
		tmp = t_3;
	elseif (j <= 5.3e+185)
		tmp = t_2;
	else
		tmp = i * ((j * y5) * -t);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.35e+76], t$95$2, If[LessEqual[j, -2.2e-76], t$95$1, If[LessEqual[j, 3.65e-136], t$95$3, If[LessEqual[j, 9.5e-37], t$95$1, If[LessEqual[j, 4e+48], t$95$3, If[LessEqual[j, 5.3e+185], t$95$2, N[(i * N[(N[(j * y5), $MachinePrecision] * (-t)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if j < -1.34999999999999995e76 or 4.00000000000000018e48 < j < 5.30000000000000007e185

   1. Initial program 24.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 50.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 50.9%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 50.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 50.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 50.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 50.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 50.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in b around inf 48.7%

      \[\leadsto \color{blue}{j \cdot \left(b \cdot \left(y4 \cdot t - y0 \cdot x\right)\right)} \]

   if -1.34999999999999995e76 < j < -2.19999999999999999e-76 or 3.6499999999999999e-136 < j < 9.49999999999999927e-37

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 52.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 52.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 52.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 48.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 48.9%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 48.9%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 48.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -2.19999999999999999e-76 < j < 3.6499999999999999e-136 or 9.49999999999999927e-37 < j < 4.00000000000000018e48

   1. Initial program 38.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.3%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 53.3%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 53.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 53.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 53.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y2 around inf 39.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot x - y4 \cdot t\right) \cdot y2\right)} \]

   if 5.30000000000000007e185 < j

   1. Initial program 21.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 21.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 49.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 49.0%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 49.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 49.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 49.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 49.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 49.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 53.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 53.3%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 53.3%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 53.3%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 53.3%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 53.3%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around inf 44.9%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(t \cdot \left(j \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 44.9%

          \[\leadsto \color{blue}{-i \cdot \left(t \cdot \left(j \cdot y5\right)\right)} \]

       2. *-commutative 44.9%

          \[\leadsto -\color{blue}{\left(t \cdot \left(j \cdot y5\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 44.9%

          \[\leadsto \color{blue}{\left(t \cdot \left(j \cdot y5\right)\right) \cdot \left(-i\right)} \]

       4. *-commutative 44.9%

          \[\leadsto \left(t \cdot \color{blue}{\left(y5 \cdot j\right)}\right) \cdot \left(-i\right) \]

   12. Simplified 44.9%

       \[\leadsto \color{blue}{\left(t \cdot \left(y5 \cdot j\right)\right) \cdot \left(-i\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 44.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.35 \cdot 10^{+76}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -2.2 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.65 \cdot 10^{-136}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+48}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 5.3 \cdot 10^{+185}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(\left(j \cdot y5\right) \cdot \left(-t\right)\right)\\ \end{array} \]

Alternative 26: 22.0% accurate, 4.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ t_2 := i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ t_3 := a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{if}\;t \leq -2.3 \cdot 10^{+240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -3.05 \cdot 10^{+116}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-280}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 3 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-246}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{+105}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{elif}\;t \leq 3.85 \cdot 10^{+230}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* y2 (* t c)) (- y4)))
        (t_2 (* i (* y1 (* x j))))
        (t_3 (* a (* y2 (* t y5)))))
   (if (<= t -2.3e+240)
     t_1
     (if (<= t -3.05e+116)
       t_3
       (if (<= t -5.5e-280)
         t_2
         (if (<= t 3e-281)
           (* (- a) (* y (* y3 y5)))
           (if (<= t 1.8e-246)
             t_2
             (if (<= t 4.8e+105)
               (* (* x y) (* i (- c)))
               (if (<= t 3.85e+230) t_3 t_1)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y2 * (t * c)) * -y4;
	double t_2 = i * (y1 * (x * j));
	double t_3 = a * (y2 * (t * y5));
	double tmp;
	if (t <= -2.3e+240) {
		tmp = t_1;
	} else if (t <= -3.05e+116) {
		tmp = t_3;
	} else if (t <= -5.5e-280) {
		tmp = t_2;
	} else if (t <= 3e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 1.8e-246) {
		tmp = t_2;
	} else if (t <= 4.8e+105) {
		tmp = (x * y) * (i * -c);
	} else if (t <= 3.85e+230) {
		tmp = t_3;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = (y2 * (t * c)) * -y4
    t_2 = i * (y1 * (x * j))
    t_3 = a * (y2 * (t * y5))
    if (t <= (-2.3d+240)) then
        tmp = t_1
    else if (t <= (-3.05d+116)) then
        tmp = t_3
    else if (t <= (-5.5d-280)) then
        tmp = t_2
    else if (t <= 3d-281) then
        tmp = -a * (y * (y3 * y5))
    else if (t <= 1.8d-246) then
        tmp = t_2
    else if (t <= 4.8d+105) then
        tmp = (x * y) * (i * -c)
    else if (t <= 3.85d+230) then
        tmp = t_3
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y2 * (t * c)) * -y4;
	double t_2 = i * (y1 * (x * j));
	double t_3 = a * (y2 * (t * y5));
	double tmp;
	if (t <= -2.3e+240) {
		tmp = t_1;
	} else if (t <= -3.05e+116) {
		tmp = t_3;
	} else if (t <= -5.5e-280) {
		tmp = t_2;
	} else if (t <= 3e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 1.8e-246) {
		tmp = t_2;
	} else if (t <= 4.8e+105) {
		tmp = (x * y) * (i * -c);
	} else if (t <= 3.85e+230) {
		tmp = t_3;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y2 * (t * c)) * -y4
	t_2 = i * (y1 * (x * j))
	t_3 = a * (y2 * (t * y5))
	tmp = 0
	if t <= -2.3e+240:
		tmp = t_1
	elif t <= -3.05e+116:
		tmp = t_3
	elif t <= -5.5e-280:
		tmp = t_2
	elif t <= 3e-281:
		tmp = -a * (y * (y3 * y5))
	elif t <= 1.8e-246:
		tmp = t_2
	elif t <= 4.8e+105:
		tmp = (x * y) * (i * -c)
	elif t <= 3.85e+230:
		tmp = t_3
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y2 * Float64(t * c)) * Float64(-y4))
	t_2 = Float64(i * Float64(y1 * Float64(x * j)))
	t_3 = Float64(a * Float64(y2 * Float64(t * y5)))
	tmp = 0.0
	if (t <= -2.3e+240)
		tmp = t_1;
	elseif (t <= -3.05e+116)
		tmp = t_3;
	elseif (t <= -5.5e-280)
		tmp = t_2;
	elseif (t <= 3e-281)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	elseif (t <= 1.8e-246)
		tmp = t_2;
	elseif (t <= 4.8e+105)
		tmp = Float64(Float64(x * y) * Float64(i * Float64(-c)));
	elseif (t <= 3.85e+230)
		tmp = t_3;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y2 * (t * c)) * -y4;
	t_2 = i * (y1 * (x * j));
	t_3 = a * (y2 * (t * y5));
	tmp = 0.0;
	if (t <= -2.3e+240)
		tmp = t_1;
	elseif (t <= -3.05e+116)
		tmp = t_3;
	elseif (t <= -5.5e-280)
		tmp = t_2;
	elseif (t <= 3e-281)
		tmp = -a * (y * (y3 * y5));
	elseif (t <= 1.8e-246)
		tmp = t_2;
	elseif (t <= 4.8e+105)
		tmp = (x * y) * (i * -c);
	elseif (t <= 3.85e+230)
		tmp = t_3;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y2 * N[(t * c), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.3e+240], t$95$1, If[LessEqual[t, -3.05e+116], t$95$3, If[LessEqual[t, -5.5e-280], t$95$2, If[LessEqual[t, 3e-281], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.8e-246], t$95$2, If[LessEqual[t, 4.8e+105], N[(N[(x * y), $MachinePrecision] * N[(i * (-c)), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.85e+230], t$95$3, t$95$1]]]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if t < -2.30000000000000001e240 or 3.8499999999999999e230 < t

   1. Initial program 14.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 14.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 36.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 53.4%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 45.5%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 45.5%

         \[\leadsto y4 \cdot \color{blue}{\left(-c \cdot \left(t \cdot y2\right)\right)} \]

      2. associate-*r* 53.4%

         \[\leadsto y4 \cdot \left(-\color{blue}{\left(c \cdot t\right) \cdot y2}\right) \]

   8. Simplified 53.4%

      \[\leadsto y4 \cdot \color{blue}{\left(-\left(c \cdot t\right) \cdot y2\right)} \]

   if -2.30000000000000001e240 < t < -3.05000000000000009e116 or 4.7999999999999995e105 < t < 3.8499999999999999e230

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 41.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 51.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 51.0%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 51.0%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 51.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 41.1%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 41.1%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 43.0%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 43.0%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 43.0%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 43.0%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 41.1%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 45.1%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 45.1%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 49.0%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 49.0%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   if -3.05000000000000009e116 < t < -5.50000000000000001e-280 or 2.99999999999999975e-281 < t < 1.8000000000000001e-246

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 47.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 47.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 47.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 47.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 47.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 47.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 47.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 32.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.4%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 32.4%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 32.4%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 32.4%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 32.4%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 30.8%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if -5.50000000000000001e-280 < t < 2.99999999999999975e-281

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 55.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 55.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 55.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 55.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.8000000000000001e-246 < t < 4.7999999999999995e105

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.9%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 44.9%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 44.9%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 44.9%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 44.9%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 44.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 30.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 27.0%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 27.0%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 27.0%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 24.5%

       \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 24.5%

          \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x\right)\right)} \]

       2. associate-*r* 25.7%

          \[\leadsto -c \cdot \color{blue}{\left(\left(y \cdot i\right) \cdot x\right)} \]

       3. *-commutative 25.7%

          \[\leadsto -c \cdot \left(\color{blue}{\left(i \cdot y\right)} \cdot x\right) \]

       4. associate-*r* 24.5%

          \[\leadsto -c \cdot \color{blue}{\left(i \cdot \left(y \cdot x\right)\right)} \]

       5. associate-*r* 25.7%

          \[\leadsto -\color{blue}{\left(c \cdot i\right) \cdot \left(y \cdot x\right)} \]

       6. *-commutative 25.7%

          \[\leadsto -\left(c \cdot i\right) \cdot \color{blue}{\left(x \cdot y\right)} \]

   12. Simplified 25.7%

       \[\leadsto \color{blue}{-\left(c \cdot i\right) \cdot \left(x \cdot y\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 37.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.3 \cdot 10^{+240}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;t \leq -3.05 \cdot 10^{+116}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-280}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 3 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-246}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{+105}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{elif}\;t \leq 3.85 \cdot 10^{+230}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \end{array} \]

Alternative 27: 31.4% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_2 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{if}\;j \leq -1.5 \cdot 10^{+77}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -2.5 \cdot 10^{-76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 3.65 \cdot 10^{-136}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y5 (- (* t y2) (* y y3)))))
        (t_2 (* c (* y2 (- (* x y0) (* t y4))))))
   (if (<= j -1.5e+77)
     (* j (* b (- (* t y4) (* x y0))))
     (if (<= j -2.5e-76)
       t_1
       (if (<= j 3.65e-136)
         t_2
         (if (<= j 9.5e-37)
           t_1
           (if (<= j 6.5e+32) t_2 (* t (* j (- (* b y4) (* i y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double t_2 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (j <= -1.5e+77) {
		tmp = j * (b * ((t * y4) - (x * y0)));
	} else if (j <= -2.5e-76) {
		tmp = t_1;
	} else if (j <= 3.65e-136) {
		tmp = t_2;
	} else if (j <= 9.5e-37) {
		tmp = t_1;
	} else if (j <= 6.5e+32) {
		tmp = t_2;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * (y5 * ((t * y2) - (y * y3)))
    t_2 = c * (y2 * ((x * y0) - (t * y4)))
    if (j <= (-1.5d+77)) then
        tmp = j * (b * ((t * y4) - (x * y0)))
    else if (j <= (-2.5d-76)) then
        tmp = t_1
    else if (j <= 3.65d-136) then
        tmp = t_2
    else if (j <= 9.5d-37) then
        tmp = t_1
    else if (j <= 6.5d+32) then
        tmp = t_2
    else
        tmp = t * (j * ((b * y4) - (i * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (y5 * ((t * y2) - (y * y3)));
	double t_2 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (j <= -1.5e+77) {
		tmp = j * (b * ((t * y4) - (x * y0)));
	} else if (j <= -2.5e-76) {
		tmp = t_1;
	} else if (j <= 3.65e-136) {
		tmp = t_2;
	} else if (j <= 9.5e-37) {
		tmp = t_1;
	} else if (j <= 6.5e+32) {
		tmp = t_2;
	} else {
		tmp = t * (j * ((b * y4) - (i * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (y5 * ((t * y2) - (y * y3)))
	t_2 = c * (y2 * ((x * y0) - (t * y4)))
	tmp = 0
	if j <= -1.5e+77:
		tmp = j * (b * ((t * y4) - (x * y0)))
	elif j <= -2.5e-76:
		tmp = t_1
	elif j <= 3.65e-136:
		tmp = t_2
	elif j <= 9.5e-37:
		tmp = t_1
	elif j <= 6.5e+32:
		tmp = t_2
	else:
		tmp = t * (j * ((b * y4) - (i * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	t_2 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	tmp = 0.0
	if (j <= -1.5e+77)
		tmp = Float64(j * Float64(b * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (j <= -2.5e-76)
		tmp = t_1;
	elseif (j <= 3.65e-136)
		tmp = t_2;
	elseif (j <= 9.5e-37)
		tmp = t_1;
	elseif (j <= 6.5e+32)
		tmp = t_2;
	else
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (y5 * ((t * y2) - (y * y3)));
	t_2 = c * (y2 * ((x * y0) - (t * y4)));
	tmp = 0.0;
	if (j <= -1.5e+77)
		tmp = j * (b * ((t * y4) - (x * y0)));
	elseif (j <= -2.5e-76)
		tmp = t_1;
	elseif (j <= 3.65e-136)
		tmp = t_2;
	elseif (j <= 9.5e-37)
		tmp = t_1;
	elseif (j <= 6.5e+32)
		tmp = t_2;
	else
		tmp = t * (j * ((b * y4) - (i * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.5e+77], N[(j * N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.5e-76], t$95$1, If[LessEqual[j, 3.65e-136], t$95$2, If[LessEqual[j, 9.5e-37], t$95$1, If[LessEqual[j, 6.5e+32], t$95$2, N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if j < -1.4999999999999999e77

   1. Initial program 19.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 48.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.2%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 48.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 48.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 48.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 48.2%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 48.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in b around inf 46.8%

      \[\leadsto \color{blue}{j \cdot \left(b \cdot \left(y4 \cdot t - y0 \cdot x\right)\right)} \]

   if -1.4999999999999999e77 < j < -2.4999999999999999e-76 or 3.6499999999999999e-136 < j < 9.49999999999999927e-37

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 52.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 52.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 52.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 48.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 48.9%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 48.9%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 48.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if -2.4999999999999999e-76 < j < 3.6499999999999999e-136 or 9.49999999999999927e-37 < j < 6.4999999999999994e32

   1. Initial program 38.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 38.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 53.3%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 53.3%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 53.3%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 53.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 53.3%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 53.3%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y2 around inf 39.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot x - y4 \cdot t\right) \cdot y2\right)} \]

   if 6.4999999999999994e32 < j

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 52.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 52.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 52.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 52.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 52.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 52.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in t around inf 49.0%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 44.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.5 \cdot 10^{+77}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -2.5 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 3.65 \cdot 10^{-136}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-37}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{+32}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \end{array} \]

Alternative 28: 30.9% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -2.2 \cdot 10^{+76}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.8 \cdot 10^{-237}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-190}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-68}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+95}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -2.2e+76)
   (* x (* a (- (* y b) (* y1 y2))))
   (if (<= y 1.8e-237)
     (* j (* y5 (- (* y0 y3) (* t i))))
     (if (<= y 4.8e-190)
       (* t (* j (- (* b y4) (* i y5))))
       (if (<= y 1.35e-68)
         (* j (* b (- (* t y4) (* x y0))))
         (if (<= y 8e+95)
           (* y4 (* t (- (* b j) (* c y2))))
           (* x (* c (- (* y0 y2) (* y i))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -2.2e+76) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y <= 1.8e-237) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 4.8e-190) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else if (y <= 1.35e-68) {
		tmp = j * (b * ((t * y4) - (x * y0)));
	} else if (y <= 8e+95) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-2.2d+76)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (y <= 1.8d-237) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y <= 4.8d-190) then
        tmp = t * (j * ((b * y4) - (i * y5)))
    else if (y <= 1.35d-68) then
        tmp = j * (b * ((t * y4) - (x * y0)))
    else if (y <= 8d+95) then
        tmp = y4 * (t * ((b * j) - (c * y2)))
    else
        tmp = x * (c * ((y0 * y2) - (y * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -2.2e+76) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y <= 1.8e-237) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 4.8e-190) {
		tmp = t * (j * ((b * y4) - (i * y5)));
	} else if (y <= 1.35e-68) {
		tmp = j * (b * ((t * y4) - (x * y0)));
	} else if (y <= 8e+95) {
		tmp = y4 * (t * ((b * j) - (c * y2)));
	} else {
		tmp = x * (c * ((y0 * y2) - (y * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -2.2e+76:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif y <= 1.8e-237:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y <= 4.8e-190:
		tmp = t * (j * ((b * y4) - (i * y5)))
	elif y <= 1.35e-68:
		tmp = j * (b * ((t * y4) - (x * y0)))
	elif y <= 8e+95:
		tmp = y4 * (t * ((b * j) - (c * y2)))
	else:
		tmp = x * (c * ((y0 * y2) - (y * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -2.2e+76)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y <= 1.8e-237)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y <= 4.8e-190)
		tmp = Float64(t * Float64(j * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (y <= 1.35e-68)
		tmp = Float64(j * Float64(b * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y <= 8e+95)
		tmp = Float64(y4 * Float64(t * Float64(Float64(b * j) - Float64(c * y2))));
	else
		tmp = Float64(x * Float64(c * Float64(Float64(y0 * y2) - Float64(y * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -2.2e+76)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (y <= 1.8e-237)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y <= 4.8e-190)
		tmp = t * (j * ((b * y4) - (i * y5)));
	elseif (y <= 1.35e-68)
		tmp = j * (b * ((t * y4) - (x * y0)));
	elseif (y <= 8e+95)
		tmp = y4 * (t * ((b * j) - (c * y2)));
	else
		tmp = x * (c * ((y0 * y2) - (y * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -2.2e+76], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.8e-237], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.8e-190], N[(t * N[(j * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.35e-68], N[(j * N[(b * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8e+95], N[(y4 * N[(t * N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(c * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -2.2e76

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 23.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 31.5%

      \[\leadsto \color{blue}{\left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + \left(c \cdot y0 - a \cdot y1\right) \cdot y2\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot j\right) \cdot x} \]

   5. Taylor expanded in a around inf 50.3%

      \[\leadsto \color{blue}{\left(\left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right) \cdot a\right)} \cdot x \]
   6. Step-by-step derivation

      1. *-commutative 50.3%

         \[\leadsto \color{blue}{\left(a \cdot \left(y \cdot b + -1 \cdot \left(y1 \cdot y2\right)\right)\right)} \cdot x \]

      2. mul-1-neg 50.3%

         \[\leadsto \left(a \cdot \left(y \cdot b + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \cdot x \]

      3. unsub-neg 50.3%

         \[\leadsto \left(a \cdot \color{blue}{\left(y \cdot b - y1 \cdot y2\right)}\right) \cdot x \]

      4. *-commutative 50.3%

         \[\leadsto \left(a \cdot \left(\color{blue}{b \cdot y} - y1 \cdot y2\right)\right) \cdot x \]

   7. Simplified 50.3%

      \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \cdot x \]

   if -2.2e76 < y < 1.79999999999999998e-237

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 48.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.3%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 48.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 48.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 48.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 48.3%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 48.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in y5 around inf 37.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 37.5%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) - -1 \cdot \left(y0 \cdot y3\right)\right)\right)} \]

      2. cancel-sign-sub-inv 37.5%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(-1 \cdot \left(i \cdot t\right) + \left(--1\right) \cdot \left(y0 \cdot y3\right)\right)}\right) \]

      3. metadata-eval 37.5%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{1} \cdot \left(y0 \cdot y3\right)\right)\right) \]

      4. *-lft-identity 37.5%

         \[\leadsto j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + \color{blue}{y0 \cdot y3}\right)\right) \]

      5. +-commutative 37.5%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right) \]

      6. mul-1-neg 37.5%

         \[\leadsto j \cdot \left(y5 \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right) \]

      7. sub-neg 37.5%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right) \]

   9. Simplified 37.5%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y0 \cdot y3 - i \cdot t\right)\right)} \]

   if 1.79999999999999998e-237 < y < 4.8000000000000001e-190

   1. Initial program 17.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 17.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 33.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 33.6%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 33.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 33.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 33.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 33.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 33.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in t around inf 67.8%

      \[\leadsto \color{blue}{t \cdot \left(j \cdot \left(y4 \cdot b - i \cdot y5\right)\right)} \]

   if 4.8000000000000001e-190 < y < 1.3500000000000001e-68

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 44.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.9%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 44.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 44.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 44.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 44.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 44.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in b around inf 42.1%

      \[\leadsto \color{blue}{j \cdot \left(b \cdot \left(y4 \cdot t - y0 \cdot x\right)\right)} \]

   if 1.3500000000000001e-68 < y < 8.00000000000000016e95

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 59.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 52.2%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   if 8.00000000000000016e95 < y

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 42.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 42.6%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 42.6%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 42.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 42.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 42.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 42.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 47.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 47.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 47.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]
3. Recombined 6 regimes into one program.

4. Final simplification 45.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.2 \cdot 10^{+76}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.8 \cdot 10^{-237}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-190}:\\ \;\;\;\;t \cdot \left(j \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-68}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+95}:\\ \;\;\;\;y4 \cdot \left(t \cdot \left(b \cdot j - c \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \end{array} \]

Alternative 29: 21.6% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{if}\;t \leq -1.65 \cdot 10^{+240}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;t \leq -1.26 \cdot 10^{+117}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 3.5 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 7 \cdot 10^{+152}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y1 (* x j)))))
   (if (<= t -1.65e+240)
     (* (* y2 (* t c)) (- y4))
     (if (<= t -1.26e+117)
       (* a (* y2 (* t y5)))
       (if (<= t -7.5e-280)
         t_1
         (if (<= t 3.5e-281)
           (* (- a) (* y (* y3 y5)))
           (if (<= t 3.6e-246)
             t_1
             (if (<= t 7e+152)
               (* (* x y) (* i (- c)))
               (* (- c) (* y2 (* t y4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -1.65e+240) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (t <= -1.26e+117) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= -7.5e-280) {
		tmp = t_1;
	} else if (t <= 3.5e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 3.6e-246) {
		tmp = t_1;
	} else if (t <= 7e+152) {
		tmp = (x * y) * (i * -c);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y1 * (x * j))
    if (t <= (-1.65d+240)) then
        tmp = (y2 * (t * c)) * -y4
    else if (t <= (-1.26d+117)) then
        tmp = a * (y2 * (t * y5))
    else if (t <= (-7.5d-280)) then
        tmp = t_1
    else if (t <= 3.5d-281) then
        tmp = -a * (y * (y3 * y5))
    else if (t <= 3.6d-246) then
        tmp = t_1
    else if (t <= 7d+152) then
        tmp = (x * y) * (i * -c)
    else
        tmp = -c * (y2 * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -1.65e+240) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (t <= -1.26e+117) {
		tmp = a * (y2 * (t * y5));
	} else if (t <= -7.5e-280) {
		tmp = t_1;
	} else if (t <= 3.5e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 3.6e-246) {
		tmp = t_1;
	} else if (t <= 7e+152) {
		tmp = (x * y) * (i * -c);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y1 * (x * j))
	tmp = 0
	if t <= -1.65e+240:
		tmp = (y2 * (t * c)) * -y4
	elif t <= -1.26e+117:
		tmp = a * (y2 * (t * y5))
	elif t <= -7.5e-280:
		tmp = t_1
	elif t <= 3.5e-281:
		tmp = -a * (y * (y3 * y5))
	elif t <= 3.6e-246:
		tmp = t_1
	elif t <= 7e+152:
		tmp = (x * y) * (i * -c)
	else:
		tmp = -c * (y2 * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y1 * Float64(x * j)))
	tmp = 0.0
	if (t <= -1.65e+240)
		tmp = Float64(Float64(y2 * Float64(t * c)) * Float64(-y4));
	elseif (t <= -1.26e+117)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (t <= -7.5e-280)
		tmp = t_1;
	elseif (t <= 3.5e-281)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	elseif (t <= 3.6e-246)
		tmp = t_1;
	elseif (t <= 7e+152)
		tmp = Float64(Float64(x * y) * Float64(i * Float64(-c)));
	else
		tmp = Float64(Float64(-c) * Float64(y2 * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y1 * (x * j));
	tmp = 0.0;
	if (t <= -1.65e+240)
		tmp = (y2 * (t * c)) * -y4;
	elseif (t <= -1.26e+117)
		tmp = a * (y2 * (t * y5));
	elseif (t <= -7.5e-280)
		tmp = t_1;
	elseif (t <= 3.5e-281)
		tmp = -a * (y * (y3 * y5));
	elseif (t <= 3.6e-246)
		tmp = t_1;
	elseif (t <= 7e+152)
		tmp = (x * y) * (i * -c);
	else
		tmp = -c * (y2 * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.65e+240], N[(N[(y2 * N[(t * c), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision], If[LessEqual[t, -1.26e+117], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -7.5e-280], t$95$1, If[LessEqual[t, 3.5e-281], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 3.6e-246], t$95$1, If[LessEqual[t, 7e+152], N[(N[(x * y), $MachinePrecision] * N[(i * (-c)), $MachinePrecision]), $MachinePrecision], N[((-c) * N[(y2 * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -1.6499999999999999e240

   1. Initial program 19.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 37.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 38.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 38.7%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 38.7%

         \[\leadsto y4 \cdot \color{blue}{\left(-c \cdot \left(t \cdot y2\right)\right)} \]

      2. associate-*r* 50.6%

         \[\leadsto y4 \cdot \left(-\color{blue}{\left(c \cdot t\right) \cdot y2}\right) \]

   8. Simplified 50.6%

      \[\leadsto y4 \cdot \color{blue}{\left(-\left(c \cdot t\right) \cdot y2\right)} \]

   if -1.6499999999999999e240 < t < -1.25999999999999993e117

   1. Initial program 45.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.2%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 50.2%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 50.2%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 60.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 60.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 60.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 60.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 43.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 43.3%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 47.4%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 47.4%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 47.4%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 47.4%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 43.3%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 47.6%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 47.6%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 51.6%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 51.6%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   if -1.25999999999999993e117 < t < -7.4999999999999999e-280 or 3.50000000000000022e-281 < t < 3.6000000000000002e-246

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 47.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 47.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 47.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 47.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 47.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 47.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 47.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 32.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.4%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 32.4%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 32.4%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 32.4%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 32.4%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 30.8%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if -7.4999999999999999e-280 < t < 3.50000000000000022e-281

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 55.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 55.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 55.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 55.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 3.6000000000000002e-246 < t < 6.99999999999999963e152

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 44.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 29.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 29.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 25.3%

       \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 25.3%

          \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x\right)\right)} \]

       2. associate-*r* 25.3%

          \[\leadsto -c \cdot \color{blue}{\left(\left(y \cdot i\right) \cdot x\right)} \]

       3. *-commutative 25.3%

          \[\leadsto -c \cdot \left(\color{blue}{\left(i \cdot y\right)} \cdot x\right) \]

       4. associate-*r* 24.2%

          \[\leadsto -c \cdot \color{blue}{\left(i \cdot \left(y \cdot x\right)\right)} \]

       5. associate-*r* 25.3%

          \[\leadsto -\color{blue}{\left(c \cdot i\right) \cdot \left(y \cdot x\right)} \]

       6. *-commutative 25.3%

          \[\leadsto -\left(c \cdot i\right) \cdot \color{blue}{\left(x \cdot y\right)} \]

   12. Simplified 25.3%

       \[\leadsto \color{blue}{-\left(c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   if 6.99999999999999963e152 < t

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 31.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 56.9%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 50.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.6%

         \[\leadsto \color{blue}{\left(-1 \cdot c\right) \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)} \]

      2. neg-mul-1 50.6%

         \[\leadsto \color{blue}{\left(-c\right)} \cdot \left(y4 \cdot \left(t \cdot y2\right)\right) \]

      3. associate-*r* 53.6%

         \[\leadsto \left(-c\right) \cdot \color{blue}{\left(\left(y4 \cdot t\right) \cdot y2\right)} \]

   8. Simplified 53.6%

      \[\leadsto \color{blue}{\left(-c\right) \cdot \left(\left(y4 \cdot t\right) \cdot y2\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 35.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.65 \cdot 10^{+240}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;t \leq -1.26 \cdot 10^{+117}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{-280}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 3.5 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 3.6 \cdot 10^{-246}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 7 \cdot 10^{+152}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]

Alternative 30: 21.8% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{if}\;t \leq -6.5 \cdot 10^{+217}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;t \leq -1.02 \cdot 10^{+85}:\\ \;\;\;\;i \cdot \left(j \cdot \left(y5 \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;t \leq -2.1 \cdot 10^{-278}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{-280}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.85 \cdot 10^{-245}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+153}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y1 (* x j)))))
   (if (<= t -6.5e+217)
     (* (* y2 (* t c)) (- y4))
     (if (<= t -1.02e+85)
       (* i (* j (* y5 (- t))))
       (if (<= t -2.1e-278)
         t_1
         (if (<= t 7.2e-280)
           (* (- a) (* y (* y3 y5)))
           (if (<= t 2.85e-245)
             t_1
             (if (<= t 1.3e+153)
               (* (* x y) (* i (- c)))
               (* (- c) (* y2 (* t y4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -6.5e+217) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (t <= -1.02e+85) {
		tmp = i * (j * (y5 * -t));
	} else if (t <= -2.1e-278) {
		tmp = t_1;
	} else if (t <= 7.2e-280) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 2.85e-245) {
		tmp = t_1;
	} else if (t <= 1.3e+153) {
		tmp = (x * y) * (i * -c);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y1 * (x * j))
    if (t <= (-6.5d+217)) then
        tmp = (y2 * (t * c)) * -y4
    else if (t <= (-1.02d+85)) then
        tmp = i * (j * (y5 * -t))
    else if (t <= (-2.1d-278)) then
        tmp = t_1
    else if (t <= 7.2d-280) then
        tmp = -a * (y * (y3 * y5))
    else if (t <= 2.85d-245) then
        tmp = t_1
    else if (t <= 1.3d+153) then
        tmp = (x * y) * (i * -c)
    else
        tmp = -c * (y2 * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -6.5e+217) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (t <= -1.02e+85) {
		tmp = i * (j * (y5 * -t));
	} else if (t <= -2.1e-278) {
		tmp = t_1;
	} else if (t <= 7.2e-280) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 2.85e-245) {
		tmp = t_1;
	} else if (t <= 1.3e+153) {
		tmp = (x * y) * (i * -c);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y1 * (x * j))
	tmp = 0
	if t <= -6.5e+217:
		tmp = (y2 * (t * c)) * -y4
	elif t <= -1.02e+85:
		tmp = i * (j * (y5 * -t))
	elif t <= -2.1e-278:
		tmp = t_1
	elif t <= 7.2e-280:
		tmp = -a * (y * (y3 * y5))
	elif t <= 2.85e-245:
		tmp = t_1
	elif t <= 1.3e+153:
		tmp = (x * y) * (i * -c)
	else:
		tmp = -c * (y2 * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y1 * Float64(x * j)))
	tmp = 0.0
	if (t <= -6.5e+217)
		tmp = Float64(Float64(y2 * Float64(t * c)) * Float64(-y4));
	elseif (t <= -1.02e+85)
		tmp = Float64(i * Float64(j * Float64(y5 * Float64(-t))));
	elseif (t <= -2.1e-278)
		tmp = t_1;
	elseif (t <= 7.2e-280)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	elseif (t <= 2.85e-245)
		tmp = t_1;
	elseif (t <= 1.3e+153)
		tmp = Float64(Float64(x * y) * Float64(i * Float64(-c)));
	else
		tmp = Float64(Float64(-c) * Float64(y2 * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y1 * (x * j));
	tmp = 0.0;
	if (t <= -6.5e+217)
		tmp = (y2 * (t * c)) * -y4;
	elseif (t <= -1.02e+85)
		tmp = i * (j * (y5 * -t));
	elseif (t <= -2.1e-278)
		tmp = t_1;
	elseif (t <= 7.2e-280)
		tmp = -a * (y * (y3 * y5));
	elseif (t <= 2.85e-245)
		tmp = t_1;
	elseif (t <= 1.3e+153)
		tmp = (x * y) * (i * -c);
	else
		tmp = -c * (y2 * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -6.5e+217], N[(N[(y2 * N[(t * c), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision], If[LessEqual[t, -1.02e+85], N[(i * N[(j * N[(y5 * (-t)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -2.1e-278], t$95$1, If[LessEqual[t, 7.2e-280], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.85e-245], t$95$1, If[LessEqual[t, 1.3e+153], N[(N[(x * y), $MachinePrecision] * N[(i * (-c)), $MachinePrecision]), $MachinePrecision], N[((-c) * N[(y2 * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -6.50000000000000005e217

   1. Initial program 32.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 45.7%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 45.9%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 37.6%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 37.6%

         \[\leadsto y4 \cdot \color{blue}{\left(-c \cdot \left(t \cdot y2\right)\right)} \]

      2. associate-*r* 46.2%

         \[\leadsto y4 \cdot \left(-\color{blue}{\left(c \cdot t\right) \cdot y2}\right) \]

   8. Simplified 46.2%

      \[\leadsto y4 \cdot \color{blue}{\left(-\left(c \cdot t\right) \cdot y2\right)} \]

   if -6.50000000000000005e217 < t < -1.02e85

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 54.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 54.6%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 54.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 54.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 54.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 54.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 54.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 64.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 64.1%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 64.1%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 64.1%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 64.1%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 64.1%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around inf 55.2%

       \[\leadsto \left(-i\right) \cdot \left(j \cdot \color{blue}{\left(t \cdot y5\right)}\right) \]

   if -1.02e85 < t < -2.10000000000000014e-278 or 7.19999999999999989e-280 < t < 2.85e-245

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 47.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 47.6%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 47.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 47.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 47.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 47.6%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 47.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 28.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 28.6%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 28.6%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 28.6%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 28.6%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 28.6%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 30.3%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if -2.10000000000000014e-278 < t < 7.19999999999999989e-280

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 55.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 55.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 55.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 55.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 2.85e-245 < t < 1.2999999999999999e153

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 44.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 29.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 29.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 25.3%

       \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 25.3%

          \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x\right)\right)} \]

       2. associate-*r* 25.3%

          \[\leadsto -c \cdot \color{blue}{\left(\left(y \cdot i\right) \cdot x\right)} \]

       3. *-commutative 25.3%

          \[\leadsto -c \cdot \left(\color{blue}{\left(i \cdot y\right)} \cdot x\right) \]

       4. associate-*r* 24.2%

          \[\leadsto -c \cdot \color{blue}{\left(i \cdot \left(y \cdot x\right)\right)} \]

       5. associate-*r* 25.3%

          \[\leadsto -\color{blue}{\left(c \cdot i\right) \cdot \left(y \cdot x\right)} \]

       6. *-commutative 25.3%

          \[\leadsto -\left(c \cdot i\right) \cdot \color{blue}{\left(x \cdot y\right)} \]

   12. Simplified 25.3%

       \[\leadsto \color{blue}{-\left(c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   if 1.2999999999999999e153 < t

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 31.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 56.9%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 50.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.6%

         \[\leadsto \color{blue}{\left(-1 \cdot c\right) \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)} \]

      2. neg-mul-1 50.6%

         \[\leadsto \color{blue}{\left(-c\right)} \cdot \left(y4 \cdot \left(t \cdot y2\right)\right) \]

      3. associate-*r* 53.6%

         \[\leadsto \left(-c\right) \cdot \color{blue}{\left(\left(y4 \cdot t\right) \cdot y2\right)} \]

   8. Simplified 53.6%

      \[\leadsto \color{blue}{\left(-c\right) \cdot \left(\left(y4 \cdot t\right) \cdot y2\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 36.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -6.5 \cdot 10^{+217}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;t \leq -1.02 \cdot 10^{+85}:\\ \;\;\;\;i \cdot \left(j \cdot \left(y5 \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;t \leq -2.1 \cdot 10^{-278}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{-280}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.85 \cdot 10^{-245}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 1.3 \cdot 10^{+153}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]

Alternative 31: 20.9% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{if}\;t \leq -4.6 \cdot 10^{+185}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{elif}\;t \leq -1.75 \cdot 10^{+70}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.25 \cdot 10^{-276}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-280}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-247}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{+152}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y1 (* x j)))))
   (if (<= t -4.6e+185)
     (* (* t (* z b)) (- a))
     (if (<= t -1.75e+70)
       (* x (* c (* i (- y))))
       (if (<= t -1.25e-276)
         t_1
         (if (<= t 5e-280)
           (* (- a) (* y (* y3 y5)))
           (if (<= t 2.2e-247)
             t_1
             (if (<= t 9.5e+152)
               (* (* x y) (* i (- c)))
               (* (- c) (* y2 (* t y4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -4.6e+185) {
		tmp = (t * (z * b)) * -a;
	} else if (t <= -1.75e+70) {
		tmp = x * (c * (i * -y));
	} else if (t <= -1.25e-276) {
		tmp = t_1;
	} else if (t <= 5e-280) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 2.2e-247) {
		tmp = t_1;
	} else if (t <= 9.5e+152) {
		tmp = (x * y) * (i * -c);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y1 * (x * j))
    if (t <= (-4.6d+185)) then
        tmp = (t * (z * b)) * -a
    else if (t <= (-1.75d+70)) then
        tmp = x * (c * (i * -y))
    else if (t <= (-1.25d-276)) then
        tmp = t_1
    else if (t <= 5d-280) then
        tmp = -a * (y * (y3 * y5))
    else if (t <= 2.2d-247) then
        tmp = t_1
    else if (t <= 9.5d+152) then
        tmp = (x * y) * (i * -c)
    else
        tmp = -c * (y2 * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -4.6e+185) {
		tmp = (t * (z * b)) * -a;
	} else if (t <= -1.75e+70) {
		tmp = x * (c * (i * -y));
	} else if (t <= -1.25e-276) {
		tmp = t_1;
	} else if (t <= 5e-280) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 2.2e-247) {
		tmp = t_1;
	} else if (t <= 9.5e+152) {
		tmp = (x * y) * (i * -c);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y1 * (x * j))
	tmp = 0
	if t <= -4.6e+185:
		tmp = (t * (z * b)) * -a
	elif t <= -1.75e+70:
		tmp = x * (c * (i * -y))
	elif t <= -1.25e-276:
		tmp = t_1
	elif t <= 5e-280:
		tmp = -a * (y * (y3 * y5))
	elif t <= 2.2e-247:
		tmp = t_1
	elif t <= 9.5e+152:
		tmp = (x * y) * (i * -c)
	else:
		tmp = -c * (y2 * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y1 * Float64(x * j)))
	tmp = 0.0
	if (t <= -4.6e+185)
		tmp = Float64(Float64(t * Float64(z * b)) * Float64(-a));
	elseif (t <= -1.75e+70)
		tmp = Float64(x * Float64(c * Float64(i * Float64(-y))));
	elseif (t <= -1.25e-276)
		tmp = t_1;
	elseif (t <= 5e-280)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	elseif (t <= 2.2e-247)
		tmp = t_1;
	elseif (t <= 9.5e+152)
		tmp = Float64(Float64(x * y) * Float64(i * Float64(-c)));
	else
		tmp = Float64(Float64(-c) * Float64(y2 * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y1 * (x * j));
	tmp = 0.0;
	if (t <= -4.6e+185)
		tmp = (t * (z * b)) * -a;
	elseif (t <= -1.75e+70)
		tmp = x * (c * (i * -y));
	elseif (t <= -1.25e-276)
		tmp = t_1;
	elseif (t <= 5e-280)
		tmp = -a * (y * (y3 * y5));
	elseif (t <= 2.2e-247)
		tmp = t_1;
	elseif (t <= 9.5e+152)
		tmp = (x * y) * (i * -c);
	else
		tmp = -c * (y2 * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -4.6e+185], N[(N[(t * N[(z * b), $MachinePrecision]), $MachinePrecision] * (-a)), $MachinePrecision], If[LessEqual[t, -1.75e+70], N[(x * N[(c * N[(i * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.25e-276], t$95$1, If[LessEqual[t, 5e-280], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.2e-247], t$95$1, If[LessEqual[t, 9.5e+152], N[(N[(x * y), $MachinePrecision] * N[(i * (-c)), $MachinePrecision]), $MachinePrecision], N[((-c) * N[(y2 * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -4.6000000000000003e185

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 55.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 42.0%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 42.0%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 42.0%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 42.0%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 42.0%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 42.0%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 49.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(t \cdot \left(z \cdot b\right)\right)\right)} \]

   if -4.6000000000000003e185 < t < -1.75000000000000001e70

   1. Initial program 31.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 32.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 32.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 32.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 58.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 58.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 58.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 48.4%

       \[\leadsto \left(c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \cdot x \]
   11. Step-by-step derivation

       1. neg-mul-1 48.4%

          \[\leadsto \left(c \cdot \color{blue}{\left(-y \cdot i\right)}\right) \cdot x \]

       2. distribute-rgt-neg-in 48.4%

          \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   12. Simplified 48.4%

       \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   if -1.75000000000000001e70 < t < -1.24999999999999992e-276 or 5.00000000000000028e-280 < t < 2.19999999999999992e-247

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 48.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 48.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 48.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 29.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.9%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 29.9%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 29.9%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 29.9%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 29.9%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 31.7%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if -1.24999999999999992e-276 < t < 5.00000000000000028e-280

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 55.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 55.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 55.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 55.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 2.19999999999999992e-247 < t < 9.49999999999999916e152

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 44.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 29.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 29.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 25.3%

       \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 25.3%

          \[\leadsto \color{blue}{-c \cdot \left(y \cdot \left(i \cdot x\right)\right)} \]

       2. associate-*r* 25.3%

          \[\leadsto -c \cdot \color{blue}{\left(\left(y \cdot i\right) \cdot x\right)} \]

       3. *-commutative 25.3%

          \[\leadsto -c \cdot \left(\color{blue}{\left(i \cdot y\right)} \cdot x\right) \]

       4. associate-*r* 24.2%

          \[\leadsto -c \cdot \color{blue}{\left(i \cdot \left(y \cdot x\right)\right)} \]

       5. associate-*r* 25.3%

          \[\leadsto -\color{blue}{\left(c \cdot i\right) \cdot \left(y \cdot x\right)} \]

       6. *-commutative 25.3%

          \[\leadsto -\left(c \cdot i\right) \cdot \color{blue}{\left(x \cdot y\right)} \]

   12. Simplified 25.3%

       \[\leadsto \color{blue}{-\left(c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   if 9.49999999999999916e152 < t

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 31.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 56.9%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 50.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.6%

         \[\leadsto \color{blue}{\left(-1 \cdot c\right) \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)} \]

      2. neg-mul-1 50.6%

         \[\leadsto \color{blue}{\left(-c\right)} \cdot \left(y4 \cdot \left(t \cdot y2\right)\right) \]

      3. associate-*r* 53.6%

         \[\leadsto \left(-c\right) \cdot \color{blue}{\left(\left(y4 \cdot t\right) \cdot y2\right)} \]

   8. Simplified 53.6%

      \[\leadsto \color{blue}{\left(-c\right) \cdot \left(\left(y4 \cdot t\right) \cdot y2\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 36.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -4.6 \cdot 10^{+185}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{elif}\;t \leq -1.75 \cdot 10^{+70}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.25 \cdot 10^{-276}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-280}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-247}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 9.5 \cdot 10^{+152}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(i \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]

Alternative 32: 20.9% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{if}\;t \leq -1.02 \cdot 10^{+187}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{elif}\;t \leq -8.4 \cdot 10^{+67}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.1 \cdot 10^{-244}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+152}:\\ \;\;\;\;c \cdot \left(\left(x \cdot i\right) \cdot \left(-y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y1 (* x j)))))
   (if (<= t -1.02e+187)
     (* (* t (* z b)) (- a))
     (if (<= t -8.4e+67)
       (* x (* c (* i (- y))))
       (if (<= t -7e-280)
         t_1
         (if (<= t 4.8e-281)
           (* (- a) (* y (* y3 y5)))
           (if (<= t 2.1e-244)
             t_1
             (if (<= t 6.2e+152)
               (* c (* (* x i) (- y)))
               (* (- c) (* y2 (* t y4)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -1.02e+187) {
		tmp = (t * (z * b)) * -a;
	} else if (t <= -8.4e+67) {
		tmp = x * (c * (i * -y));
	} else if (t <= -7e-280) {
		tmp = t_1;
	} else if (t <= 4.8e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 2.1e-244) {
		tmp = t_1;
	} else if (t <= 6.2e+152) {
		tmp = c * ((x * i) * -y);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y1 * (x * j))
    if (t <= (-1.02d+187)) then
        tmp = (t * (z * b)) * -a
    else if (t <= (-8.4d+67)) then
        tmp = x * (c * (i * -y))
    else if (t <= (-7d-280)) then
        tmp = t_1
    else if (t <= 4.8d-281) then
        tmp = -a * (y * (y3 * y5))
    else if (t <= 2.1d-244) then
        tmp = t_1
    else if (t <= 6.2d+152) then
        tmp = c * ((x * i) * -y)
    else
        tmp = -c * (y2 * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * (x * j));
	double tmp;
	if (t <= -1.02e+187) {
		tmp = (t * (z * b)) * -a;
	} else if (t <= -8.4e+67) {
		tmp = x * (c * (i * -y));
	} else if (t <= -7e-280) {
		tmp = t_1;
	} else if (t <= 4.8e-281) {
		tmp = -a * (y * (y3 * y5));
	} else if (t <= 2.1e-244) {
		tmp = t_1;
	} else if (t <= 6.2e+152) {
		tmp = c * ((x * i) * -y);
	} else {
		tmp = -c * (y2 * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y1 * (x * j))
	tmp = 0
	if t <= -1.02e+187:
		tmp = (t * (z * b)) * -a
	elif t <= -8.4e+67:
		tmp = x * (c * (i * -y))
	elif t <= -7e-280:
		tmp = t_1
	elif t <= 4.8e-281:
		tmp = -a * (y * (y3 * y5))
	elif t <= 2.1e-244:
		tmp = t_1
	elif t <= 6.2e+152:
		tmp = c * ((x * i) * -y)
	else:
		tmp = -c * (y2 * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y1 * Float64(x * j)))
	tmp = 0.0
	if (t <= -1.02e+187)
		tmp = Float64(Float64(t * Float64(z * b)) * Float64(-a));
	elseif (t <= -8.4e+67)
		tmp = Float64(x * Float64(c * Float64(i * Float64(-y))));
	elseif (t <= -7e-280)
		tmp = t_1;
	elseif (t <= 4.8e-281)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	elseif (t <= 2.1e-244)
		tmp = t_1;
	elseif (t <= 6.2e+152)
		tmp = Float64(c * Float64(Float64(x * i) * Float64(-y)));
	else
		tmp = Float64(Float64(-c) * Float64(y2 * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y1 * (x * j));
	tmp = 0.0;
	if (t <= -1.02e+187)
		tmp = (t * (z * b)) * -a;
	elseif (t <= -8.4e+67)
		tmp = x * (c * (i * -y));
	elseif (t <= -7e-280)
		tmp = t_1;
	elseif (t <= 4.8e-281)
		tmp = -a * (y * (y3 * y5));
	elseif (t <= 2.1e-244)
		tmp = t_1;
	elseif (t <= 6.2e+152)
		tmp = c * ((x * i) * -y);
	else
		tmp = -c * (y2 * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -1.02e+187], N[(N[(t * N[(z * b), $MachinePrecision]), $MachinePrecision] * (-a)), $MachinePrecision], If[LessEqual[t, -8.4e+67], N[(x * N[(c * N[(i * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -7e-280], t$95$1, If[LessEqual[t, 4.8e-281], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.1e-244], t$95$1, If[LessEqual[t, 6.2e+152], N[(c * N[(N[(x * i), $MachinePrecision] * (-y)), $MachinePrecision]), $MachinePrecision], N[((-c) * N[(y2 * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if t < -1.0200000000000001e187

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 55.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 42.0%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 42.0%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 42.0%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 42.0%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 42.0%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 42.0%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 49.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(t \cdot \left(z \cdot b\right)\right)\right)} \]

   if -1.0200000000000001e187 < t < -8.4000000000000005e67

   1. Initial program 31.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 32.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 32.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 32.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 32.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 32.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 58.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 58.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 58.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 48.4%

       \[\leadsto \left(c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \cdot x \]
   11. Step-by-step derivation

       1. neg-mul-1 48.4%

          \[\leadsto \left(c \cdot \color{blue}{\left(-y \cdot i\right)}\right) \cdot x \]

       2. distribute-rgt-neg-in 48.4%

          \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   12. Simplified 48.4%

       \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   if -8.4000000000000005e67 < t < -7.0000000000000002e-280 or 4.8000000000000001e-281 < t < 2.10000000000000002e-244

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 48.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 48.8%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 48.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 48.8%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 48.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 29.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.9%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 29.9%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 29.9%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 29.9%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 29.9%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 31.7%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if -7.0000000000000002e-280 < t < 4.8000000000000001e-281

   1. Initial program 37.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 46.8%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 55.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 55.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 55.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 55.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 2.10000000000000002e-244 < t < 6.2e152

   1. Initial program 36.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 44.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 44.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 44.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 44.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 33.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 29.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 29.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 25.3%

       \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y \cdot \left(i \cdot x\right)\right)\right)} \]

   if 6.2e152 < t

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 31.4%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 56.9%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 50.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.6%

         \[\leadsto \color{blue}{\left(-1 \cdot c\right) \cdot \left(y4 \cdot \left(t \cdot y2\right)\right)} \]

      2. neg-mul-1 50.6%

         \[\leadsto \color{blue}{\left(-c\right)} \cdot \left(y4 \cdot \left(t \cdot y2\right)\right) \]

      3. associate-*r* 53.6%

         \[\leadsto \left(-c\right) \cdot \color{blue}{\left(\left(y4 \cdot t\right) \cdot y2\right)} \]

   8. Simplified 53.6%

      \[\leadsto \color{blue}{\left(-c\right) \cdot \left(\left(y4 \cdot t\right) \cdot y2\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 36.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.02 \cdot 10^{+187}:\\ \;\;\;\;\left(t \cdot \left(z \cdot b\right)\right) \cdot \left(-a\right)\\ \mathbf{elif}\;t \leq -8.4 \cdot 10^{+67}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-280}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 4.8 \cdot 10^{-281}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 2.1 \cdot 10^{-244}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+152}:\\ \;\;\;\;c \cdot \left(\left(x \cdot i\right) \cdot \left(-y\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(y2 \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]

Alternative 33: 21.0% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -2.6 \cdot 10^{+119}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{-19}:\\ \;\;\;\;z \cdot \left(a \cdot \left(t \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -5.8 \cdot 10^{-108}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -1 \cdot 10^{-194}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;y5 \leq -2.05 \cdot 10^{-238}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 9.6 \cdot 10^{-91}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -2.6e+119)
   (* a (* t (* y2 y5)))
   (if (<= y5 -1.7e-19)
     (* z (* a (* t (- b))))
     (if (<= y5 -5.8e-108)
       (* x (* c (* i (- y))))
       (if (<= y5 -1e-194)
         (* (* y2 (* t c)) (- y4))
         (if (<= y5 -2.05e-238)
           (* y4 (* b (* t j)))
           (if (<= y5 9.6e-91)
             (* i (* y1 (* x j)))
             (* (* a (* y3 y5)) (- y)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -2.6e+119) {
		tmp = a * (t * (y2 * y5));
	} else if (y5 <= -1.7e-19) {
		tmp = z * (a * (t * -b));
	} else if (y5 <= -5.8e-108) {
		tmp = x * (c * (i * -y));
	} else if (y5 <= -1e-194) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (y5 <= -2.05e-238) {
		tmp = y4 * (b * (t * j));
	} else if (y5 <= 9.6e-91) {
		tmp = i * (y1 * (x * j));
	} else {
		tmp = (a * (y3 * y5)) * -y;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-2.6d+119)) then
        tmp = a * (t * (y2 * y5))
    else if (y5 <= (-1.7d-19)) then
        tmp = z * (a * (t * -b))
    else if (y5 <= (-5.8d-108)) then
        tmp = x * (c * (i * -y))
    else if (y5 <= (-1d-194)) then
        tmp = (y2 * (t * c)) * -y4
    else if (y5 <= (-2.05d-238)) then
        tmp = y4 * (b * (t * j))
    else if (y5 <= 9.6d-91) then
        tmp = i * (y1 * (x * j))
    else
        tmp = (a * (y3 * y5)) * -y
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -2.6e+119) {
		tmp = a * (t * (y2 * y5));
	} else if (y5 <= -1.7e-19) {
		tmp = z * (a * (t * -b));
	} else if (y5 <= -5.8e-108) {
		tmp = x * (c * (i * -y));
	} else if (y5 <= -1e-194) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (y5 <= -2.05e-238) {
		tmp = y4 * (b * (t * j));
	} else if (y5 <= 9.6e-91) {
		tmp = i * (y1 * (x * j));
	} else {
		tmp = (a * (y3 * y5)) * -y;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -2.6e+119:
		tmp = a * (t * (y2 * y5))
	elif y5 <= -1.7e-19:
		tmp = z * (a * (t * -b))
	elif y5 <= -5.8e-108:
		tmp = x * (c * (i * -y))
	elif y5 <= -1e-194:
		tmp = (y2 * (t * c)) * -y4
	elif y5 <= -2.05e-238:
		tmp = y4 * (b * (t * j))
	elif y5 <= 9.6e-91:
		tmp = i * (y1 * (x * j))
	else:
		tmp = (a * (y3 * y5)) * -y
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -2.6e+119)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y5 <= -1.7e-19)
		tmp = Float64(z * Float64(a * Float64(t * Float64(-b))));
	elseif (y5 <= -5.8e-108)
		tmp = Float64(x * Float64(c * Float64(i * Float64(-y))));
	elseif (y5 <= -1e-194)
		tmp = Float64(Float64(y2 * Float64(t * c)) * Float64(-y4));
	elseif (y5 <= -2.05e-238)
		tmp = Float64(y4 * Float64(b * Float64(t * j)));
	elseif (y5 <= 9.6e-91)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	else
		tmp = Float64(Float64(a * Float64(y3 * y5)) * Float64(-y));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -2.6e+119)
		tmp = a * (t * (y2 * y5));
	elseif (y5 <= -1.7e-19)
		tmp = z * (a * (t * -b));
	elseif (y5 <= -5.8e-108)
		tmp = x * (c * (i * -y));
	elseif (y5 <= -1e-194)
		tmp = (y2 * (t * c)) * -y4;
	elseif (y5 <= -2.05e-238)
		tmp = y4 * (b * (t * j));
	elseif (y5 <= 9.6e-91)
		tmp = i * (y1 * (x * j));
	else
		tmp = (a * (y3 * y5)) * -y;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -2.6e+119], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.7e-19], N[(z * N[(a * N[(t * (-b)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.8e-108], N[(x * N[(c * N[(i * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1e-194], N[(N[(y2 * N[(t * c), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision], If[LessEqual[y5, -2.05e-238], N[(y4 * N[(b * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.6e-91], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(a * N[(y3 * y5), $MachinePrecision]), $MachinePrecision] * (-y)), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -2.6e119

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 51.1%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 51.1%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 51.1%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 56.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 56.6%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 56.6%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 56.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 45.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   if -2.6e119 < y5 < -1.7000000000000001e-19

   1. Initial program 19.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 41.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 30.4%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 30.4%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 30.4%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 30.4%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 30.4%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 30.4%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 41.9%

      \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b\right)} \cdot a\right) \cdot z\right) \]

   if -1.7000000000000001e-19 < y5 < -5.8000000000000002e-108

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 41.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 41.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 41.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 41.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 41.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 41.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 41.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 48.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 48.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 48.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 42.5%

       \[\leadsto \left(c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \cdot x \]
   11. Step-by-step derivation

       1. neg-mul-1 42.5%

          \[\leadsto \left(c \cdot \color{blue}{\left(-y \cdot i\right)}\right) \cdot x \]

       2. distribute-rgt-neg-in 42.5%

          \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   12. Simplified 42.5%

       \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   if -5.8000000000000002e-108 < y5 < -1.00000000000000002e-194

   1. Initial program 43.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 39.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 37.0%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 28.3%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 28.3%

         \[\leadsto y4 \cdot \color{blue}{\left(-c \cdot \left(t \cdot y2\right)\right)} \]

      2. associate-*r* 36.5%

         \[\leadsto y4 \cdot \left(-\color{blue}{\left(c \cdot t\right) \cdot y2}\right) \]

   8. Simplified 36.5%

      \[\leadsto y4 \cdot \color{blue}{\left(-\left(c \cdot t\right) \cdot y2\right)} \]

   if -1.00000000000000002e-194 < y5 < -2.05e-238

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 50.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 67.5%

      \[\leadsto y4 \cdot \color{blue}{\left(t \cdot \left(j \cdot b\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 67.5%

         \[\leadsto y4 \cdot \color{blue}{\left(\left(t \cdot j\right) \cdot b\right)} \]

      2. *-commutative 67.5%

         \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   8. Simplified 67.5%

      \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   if -2.05e-238 < y5 < 9.60000000000000043e-91

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 51.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 51.0%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 51.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 51.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 51.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 51.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 51.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 32.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.6%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 32.6%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 32.6%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 32.6%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 32.6%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 30.7%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if 9.60000000000000043e-91 < y5

   1. Initial program 27.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 32.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 32.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 32.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 24.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 24.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 24.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 24.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y around inf 32.0%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 37.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.6 \cdot 10^{+119}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{-19}:\\ \;\;\;\;z \cdot \left(a \cdot \left(t \cdot \left(-b\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -5.8 \cdot 10^{-108}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -1 \cdot 10^{-194}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;y5 \leq -2.05 \cdot 10^{-238}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 9.6 \cdot 10^{-91}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \end{array} \]

Alternative 34: 21.4% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{if}\;y0 \leq -2.6 \cdot 10^{+136}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -6.2 \cdot 10^{+32}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -2.5 \cdot 10^{-238}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq 1.75 \cdot 10^{-199}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 4.5 \cdot 10^{-117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq 2.1 \cdot 10^{+91}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (- a) (* y (* y3 y5)))))
   (if (<= y0 -2.6e+136)
     (* c (* x (* y0 y2)))
     (if (<= y0 -6.2e+32)
       (* (* b j) (* t y4))
       (if (<= y0 -2.5e-238)
         t_1
         (if (<= y0 1.75e-199)
           (* a (* y5 (* t y2)))
           (if (<= y0 4.5e-117)
             t_1
             (if (<= y0 2.1e+91)
               (* i (* x (* j y1)))
               (* x (* c (* y0 y2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = -a * (y * (y3 * y5));
	double tmp;
	if (y0 <= -2.6e+136) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= -6.2e+32) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -2.5e-238) {
		tmp = t_1;
	} else if (y0 <= 1.75e-199) {
		tmp = a * (y5 * (t * y2));
	} else if (y0 <= 4.5e-117) {
		tmp = t_1;
	} else if (y0 <= 2.1e+91) {
		tmp = i * (x * (j * y1));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = -a * (y * (y3 * y5))
    if (y0 <= (-2.6d+136)) then
        tmp = c * (x * (y0 * y2))
    else if (y0 <= (-6.2d+32)) then
        tmp = (b * j) * (t * y4)
    else if (y0 <= (-2.5d-238)) then
        tmp = t_1
    else if (y0 <= 1.75d-199) then
        tmp = a * (y5 * (t * y2))
    else if (y0 <= 4.5d-117) then
        tmp = t_1
    else if (y0 <= 2.1d+91) then
        tmp = i * (x * (j * y1))
    else
        tmp = x * (c * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = -a * (y * (y3 * y5));
	double tmp;
	if (y0 <= -2.6e+136) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= -6.2e+32) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -2.5e-238) {
		tmp = t_1;
	} else if (y0 <= 1.75e-199) {
		tmp = a * (y5 * (t * y2));
	} else if (y0 <= 4.5e-117) {
		tmp = t_1;
	} else if (y0 <= 2.1e+91) {
		tmp = i * (x * (j * y1));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = -a * (y * (y3 * y5))
	tmp = 0
	if y0 <= -2.6e+136:
		tmp = c * (x * (y0 * y2))
	elif y0 <= -6.2e+32:
		tmp = (b * j) * (t * y4)
	elif y0 <= -2.5e-238:
		tmp = t_1
	elif y0 <= 1.75e-199:
		tmp = a * (y5 * (t * y2))
	elif y0 <= 4.5e-117:
		tmp = t_1
	elif y0 <= 2.1e+91:
		tmp = i * (x * (j * y1))
	else:
		tmp = x * (c * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)))
	tmp = 0.0
	if (y0 <= -2.6e+136)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y0 <= -6.2e+32)
		tmp = Float64(Float64(b * j) * Float64(t * y4));
	elseif (y0 <= -2.5e-238)
		tmp = t_1;
	elseif (y0 <= 1.75e-199)
		tmp = Float64(a * Float64(y5 * Float64(t * y2)));
	elseif (y0 <= 4.5e-117)
		tmp = t_1;
	elseif (y0 <= 2.1e+91)
		tmp = Float64(i * Float64(x * Float64(j * y1)));
	else
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = -a * (y * (y3 * y5));
	tmp = 0.0;
	if (y0 <= -2.6e+136)
		tmp = c * (x * (y0 * y2));
	elseif (y0 <= -6.2e+32)
		tmp = (b * j) * (t * y4);
	elseif (y0 <= -2.5e-238)
		tmp = t_1;
	elseif (y0 <= 1.75e-199)
		tmp = a * (y5 * (t * y2));
	elseif (y0 <= 4.5e-117)
		tmp = t_1;
	elseif (y0 <= 2.1e+91)
		tmp = i * (x * (j * y1));
	else
		tmp = x * (c * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -2.6e+136], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -6.2e+32], N[(N[(b * j), $MachinePrecision] * N[(t * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2.5e-238], t$95$1, If[LessEqual[y0, 1.75e-199], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4.5e-117], t$95$1, If[LessEqual[y0, 2.1e+91], N[(i * N[(x * N[(j * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y0 < -2.6000000000000001e136

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 36.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 36.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 36.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 36.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 36.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 36.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 36.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 49.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 39.9%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 39.9%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 46.1%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 46.1%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -2.6000000000000001e136 < y0 < -6.19999999999999986e32

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 66.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 46.6%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 36.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 41.4%

         \[\leadsto \color{blue}{\left(y4 \cdot t\right) \cdot \left(b \cdot j\right)} \]

      2. *-commutative 41.4%

         \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(y4 \cdot t\right)} \]

      3. *-commutative 41.4%

         \[\leadsto \left(b \cdot j\right) \cdot \color{blue}{\left(t \cdot y4\right)} \]

   8. Simplified 41.4%

      \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(t \cdot y4\right)} \]

   if -6.19999999999999986e32 < y0 < -2.5e-238 or 1.7499999999999999e-199 < y0 < 4.49999999999999969e-117

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 37.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 37.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 37.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 27.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 27.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 27.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 27.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 25.5%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 25.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 25.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 25.5%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if -2.5e-238 < y0 < 1.7499999999999999e-199

   1. Initial program 45.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 45.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 43.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 43.3%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 43.3%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 43.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 37.0%

       \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   if 4.49999999999999969e-117 < y0 < 2.10000000000000008e91

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 34.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 41.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 41.5%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 41.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 41.5%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 41.5%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 41.5%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 41.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 37.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.2%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 37.2%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 37.2%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 37.2%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 37.2%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 33.2%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 33.2%

          \[\leadsto \color{blue}{\left(y1 \cdot i\right) \cdot \left(j \cdot x\right)} \]

       2. *-commutative 33.2%

          \[\leadsto \color{blue}{\left(i \cdot y1\right)} \cdot \left(j \cdot x\right) \]

       3. associate-*r* 35.3%

          \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

       4. *-commutative 35.3%

          \[\leadsto \color{blue}{\left(y1 \cdot \left(j \cdot x\right)\right) \cdot i} \]

       5. associate-*r* 35.3%

          \[\leadsto \color{blue}{\left(\left(y1 \cdot j\right) \cdot x\right)} \cdot i \]

       6. *-commutative 35.3%

          \[\leadsto \color{blue}{\left(x \cdot \left(y1 \cdot j\right)\right)} \cdot i \]

   12. Simplified 35.3%

       \[\leadsto \color{blue}{\left(x \cdot \left(y1 \cdot j\right)\right) \cdot i} \]

   if 2.10000000000000008e91 < y0

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 39.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 39.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 39.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 39.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 39.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 39.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 39.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 43.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.5%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.5%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.5%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 38.6%

       \[\leadsto \left(c \cdot \color{blue}{\left(y0 \cdot y2\right)}\right) \cdot x \]
3. Recombined 6 regimes into one program.

4. Final simplification 34.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -2.6 \cdot 10^{+136}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -6.2 \cdot 10^{+32}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -2.5 \cdot 10^{-238}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.75 \cdot 10^{-199}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 4.5 \cdot 10^{-117}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 2.1 \cdot 10^{+91}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 35: 20.9% accurate, 5.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -1.55 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -6.5 \cdot 10^{-109}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{-191}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;y5 \leq -4.1 \cdot 10^{-243}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -1.55e+22)
   (* a (* t (* y2 y5)))
   (if (<= y5 -6.5e-109)
     (* x (* c (* i (- y))))
     (if (<= y5 -5.5e-191)
       (* (* y2 (* t c)) (- y4))
       (if (<= y5 -4.1e-243)
         (* y4 (* b (* t j)))
         (if (<= y5 5.2e-96)
           (* i (* y1 (* x j)))
           (* (* a (* y3 y5)) (- y))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -1.55e+22) {
		tmp = a * (t * (y2 * y5));
	} else if (y5 <= -6.5e-109) {
		tmp = x * (c * (i * -y));
	} else if (y5 <= -5.5e-191) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (y5 <= -4.1e-243) {
		tmp = y4 * (b * (t * j));
	} else if (y5 <= 5.2e-96) {
		tmp = i * (y1 * (x * j));
	} else {
		tmp = (a * (y3 * y5)) * -y;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y5 <= (-1.55d+22)) then
        tmp = a * (t * (y2 * y5))
    else if (y5 <= (-6.5d-109)) then
        tmp = x * (c * (i * -y))
    else if (y5 <= (-5.5d-191)) then
        tmp = (y2 * (t * c)) * -y4
    else if (y5 <= (-4.1d-243)) then
        tmp = y4 * (b * (t * j))
    else if (y5 <= 5.2d-96) then
        tmp = i * (y1 * (x * j))
    else
        tmp = (a * (y3 * y5)) * -y
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y5 <= -1.55e+22) {
		tmp = a * (t * (y2 * y5));
	} else if (y5 <= -6.5e-109) {
		tmp = x * (c * (i * -y));
	} else if (y5 <= -5.5e-191) {
		tmp = (y2 * (t * c)) * -y4;
	} else if (y5 <= -4.1e-243) {
		tmp = y4 * (b * (t * j));
	} else if (y5 <= 5.2e-96) {
		tmp = i * (y1 * (x * j));
	} else {
		tmp = (a * (y3 * y5)) * -y;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -1.55e+22:
		tmp = a * (t * (y2 * y5))
	elif y5 <= -6.5e-109:
		tmp = x * (c * (i * -y))
	elif y5 <= -5.5e-191:
		tmp = (y2 * (t * c)) * -y4
	elif y5 <= -4.1e-243:
		tmp = y4 * (b * (t * j))
	elif y5 <= 5.2e-96:
		tmp = i * (y1 * (x * j))
	else:
		tmp = (a * (y3 * y5)) * -y
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y5 <= -1.55e+22)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y5 <= -6.5e-109)
		tmp = Float64(x * Float64(c * Float64(i * Float64(-y))));
	elseif (y5 <= -5.5e-191)
		tmp = Float64(Float64(y2 * Float64(t * c)) * Float64(-y4));
	elseif (y5 <= -4.1e-243)
		tmp = Float64(y4 * Float64(b * Float64(t * j)));
	elseif (y5 <= 5.2e-96)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	else
		tmp = Float64(Float64(a * Float64(y3 * y5)) * Float64(-y));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y5 <= -1.55e+22)
		tmp = a * (t * (y2 * y5));
	elseif (y5 <= -6.5e-109)
		tmp = x * (c * (i * -y));
	elseif (y5 <= -5.5e-191)
		tmp = (y2 * (t * c)) * -y4;
	elseif (y5 <= -4.1e-243)
		tmp = y4 * (b * (t * j));
	elseif (y5 <= 5.2e-96)
		tmp = i * (y1 * (x * j));
	else
		tmp = (a * (y3 * y5)) * -y;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y5, -1.55e+22], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -6.5e-109], N[(x * N[(c * N[(i * (-y)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.5e-191], N[(N[(y2 * N[(t * c), $MachinePrecision]), $MachinePrecision] * (-y4)), $MachinePrecision], If[LessEqual[y5, -4.1e-243], N[(y4 * N[(b * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.2e-96], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(a * N[(y3 * y5), $MachinePrecision]), $MachinePrecision] * (-y)), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -1.5500000000000001e22

   1. Initial program 29.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 29.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 43.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 43.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 43.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 52.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 52.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 41.5%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   if -1.5500000000000001e22 < y5 < -6.49999999999999959e-109

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 34.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 34.1%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 34.1%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 34.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 34.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 34.1%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 34.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 36.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 38.9%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 38.9%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 38.9%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around 0 34.5%

       \[\leadsto \left(c \cdot \color{blue}{\left(-1 \cdot \left(y \cdot i\right)\right)}\right) \cdot x \]
   11. Step-by-step derivation

       1. neg-mul-1 34.5%

          \[\leadsto \left(c \cdot \color{blue}{\left(-y \cdot i\right)}\right) \cdot x \]

       2. distribute-rgt-neg-in 34.5%

          \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   12. Simplified 34.5%

       \[\leadsto \left(c \cdot \color{blue}{\left(y \cdot \left(-i\right)\right)}\right) \cdot x \]

   if -6.49999999999999959e-109 < y5 < -5.5000000000000001e-191

   1. Initial program 43.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 43.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 39.5%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 37.0%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around 0 28.3%

      \[\leadsto y4 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y2\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 28.3%

         \[\leadsto y4 \cdot \color{blue}{\left(-c \cdot \left(t \cdot y2\right)\right)} \]

      2. associate-*r* 36.5%

         \[\leadsto y4 \cdot \left(-\color{blue}{\left(c \cdot t\right) \cdot y2}\right) \]

   8. Simplified 36.5%

      \[\leadsto y4 \cdot \color{blue}{\left(-\left(c \cdot t\right) \cdot y2\right)} \]

   if -5.5000000000000001e-191 < y5 < -4.09999999999999981e-243

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 16.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 50.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 67.5%

      \[\leadsto y4 \cdot \color{blue}{\left(t \cdot \left(j \cdot b\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 67.5%

         \[\leadsto y4 \cdot \color{blue}{\left(\left(t \cdot j\right) \cdot b\right)} \]

      2. *-commutative 67.5%

         \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   8. Simplified 67.5%

      \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   if -4.09999999999999981e-243 < y5 < 5.2000000000000003e-96

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 51.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 51.0%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 51.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 51.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 51.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 51.0%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 51.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 32.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.6%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 32.6%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 32.6%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 32.6%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 32.6%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 30.7%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]

   if 5.2000000000000003e-96 < y5

   1. Initial program 27.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 32.8%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 32.8%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 32.8%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 24.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 24.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 24.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 24.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y around inf 32.0%

       \[\leadsto \color{blue}{-1 \cdot \left(y \cdot \left(a \cdot \left(y3 \cdot y5\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 35.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.55 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -6.5 \cdot 10^{-109}:\\ \;\;\;\;x \cdot \left(c \cdot \left(i \cdot \left(-y\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{-191}:\\ \;\;\;\;\left(y2 \cdot \left(t \cdot c\right)\right) \cdot \left(-y4\right)\\ \mathbf{elif}\;y5 \leq -4.1 \cdot 10^{-243}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(y3 \cdot y5\right)\right) \cdot \left(-y\right)\\ \end{array} \]

Alternative 36: 21.3% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ t_2 := y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{if}\;y0 \leq -4.6 \cdot 10^{+154}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -1.1 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y0 \leq -4.5 \cdot 10^{+59}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -4.65 \cdot 10^{-262}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.46 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))) (t_2 (* y1 (* i (* x j)))))
   (if (<= y0 -4.6e+154)
     t_1
     (if (<= y0 -1.1e+90)
       t_2
       (if (<= y0 -4.5e+59)
         (* c (* y0 (* x y2)))
         (if (<= y0 -4.65e-262)
           (* a (* y2 (* t y5)))
           (if (<= y0 1.46e+90) 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 = c * (x * (y0 * y2));
	double t_2 = y1 * (i * (x * j));
	double tmp;
	if (y0 <= -4.6e+154) {
		tmp = t_1;
	} else if (y0 <= -1.1e+90) {
		tmp = t_2;
	} else if (y0 <= -4.5e+59) {
		tmp = c * (y0 * (x * y2));
	} else if (y0 <= -4.65e-262) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 1.46e+90) {
		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 = c * (x * (y0 * y2))
    t_2 = y1 * (i * (x * j))
    if (y0 <= (-4.6d+154)) then
        tmp = t_1
    else if (y0 <= (-1.1d+90)) then
        tmp = t_2
    else if (y0 <= (-4.5d+59)) then
        tmp = c * (y0 * (x * y2))
    else if (y0 <= (-4.65d-262)) then
        tmp = a * (y2 * (t * y5))
    else if (y0 <= 1.46d+90) 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 = c * (x * (y0 * y2));
	double t_2 = y1 * (i * (x * j));
	double tmp;
	if (y0 <= -4.6e+154) {
		tmp = t_1;
	} else if (y0 <= -1.1e+90) {
		tmp = t_2;
	} else if (y0 <= -4.5e+59) {
		tmp = c * (y0 * (x * y2));
	} else if (y0 <= -4.65e-262) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 1.46e+90) {
		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 = c * (x * (y0 * y2))
	t_2 = y1 * (i * (x * j))
	tmp = 0
	if y0 <= -4.6e+154:
		tmp = t_1
	elif y0 <= -1.1e+90:
		tmp = t_2
	elif y0 <= -4.5e+59:
		tmp = c * (y0 * (x * y2))
	elif y0 <= -4.65e-262:
		tmp = a * (y2 * (t * y5))
	elif y0 <= 1.46e+90:
		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(c * Float64(x * Float64(y0 * y2)))
	t_2 = Float64(y1 * Float64(i * Float64(x * j)))
	tmp = 0.0
	if (y0 <= -4.6e+154)
		tmp = t_1;
	elseif (y0 <= -1.1e+90)
		tmp = t_2;
	elseif (y0 <= -4.5e+59)
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	elseif (y0 <= -4.65e-262)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (y0 <= 1.46e+90)
		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 = c * (x * (y0 * y2));
	t_2 = y1 * (i * (x * j));
	tmp = 0.0;
	if (y0 <= -4.6e+154)
		tmp = t_1;
	elseif (y0 <= -1.1e+90)
		tmp = t_2;
	elseif (y0 <= -4.5e+59)
		tmp = c * (y0 * (x * y2));
	elseif (y0 <= -4.65e-262)
		tmp = a * (y2 * (t * y5));
	elseif (y0 <= 1.46e+90)
		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[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -4.6e+154], t$95$1, If[LessEqual[y0, -1.1e+90], t$95$2, If[LessEqual[y0, -4.5e+59], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -4.65e-262], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.46e+90], t$95$2, t$95$1]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y0 < -4.6e154 or 1.45999999999999994e90 < y0

   1. Initial program 22.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 36.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 36.9%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 36.9%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 36.9%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 36.9%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 36.9%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 36.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 46.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.0%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 43.0%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 43.0%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 35.1%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 35.1%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 41.4%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 41.4%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -4.6e154 < y0 < -1.09999999999999995e90 or -4.6499999999999997e-262 < y0 < 1.45999999999999994e90

   1. Initial program 37.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 47.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 47.1%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 47.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 47.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 47.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 47.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 47.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 36.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 36.8%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 36.8%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 36.8%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 36.8%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 36.8%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 31.7%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]

   if -1.09999999999999995e90 < y0 < -4.49999999999999959e59

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 50.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 50.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 50.6%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 50.6%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 50.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 50.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 50.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 50.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 50.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 50.5%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 50.5%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 50.5%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 35.9%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 35.9%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

   12. Simplified 35.9%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]

   if -4.49999999999999959e59 < y0 < -4.6499999999999997e-262

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 31.6%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 31.6%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 31.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 22.8%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 22.8%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 21.5%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 21.5%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 21.5%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 21.5%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 22.8%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 21.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 21.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 23.9%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 23.9%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -4.6 \cdot 10^{+154}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -1.1 \cdot 10^{+90}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -4.5 \cdot 10^{+59}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -4.65 \cdot 10^{-262}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.46 \cdot 10^{+90}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 37: 21.3% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -5.8 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -2.4 \cdot 10^{+33}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -2.65 \cdot 10^{-238}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y0 \leq 1.35 \cdot 10^{-267}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 4.1 \cdot 10^{+87}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y0 -5.8e+144)
   (* c (* x (* y0 y2)))
   (if (<= y0 -2.4e+33)
     (* (* b j) (* t y4))
     (if (<= y0 -2.65e-238)
       (* a (* y5 (* y (- y3))))
       (if (<= y0 1.35e-267)
         (* a (* y5 (* t y2)))
         (if (<= y0 4.1e+87) (* y1 (* i (* x j))) (* x (* c (* y0 y2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -5.8e+144) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= -2.4e+33) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -2.65e-238) {
		tmp = a * (y5 * (y * -y3));
	} else if (y0 <= 1.35e-267) {
		tmp = a * (y5 * (t * y2));
	} else if (y0 <= 4.1e+87) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y0 <= (-5.8d+144)) then
        tmp = c * (x * (y0 * y2))
    else if (y0 <= (-2.4d+33)) then
        tmp = (b * j) * (t * y4)
    else if (y0 <= (-2.65d-238)) then
        tmp = a * (y5 * (y * -y3))
    else if (y0 <= 1.35d-267) then
        tmp = a * (y5 * (t * y2))
    else if (y0 <= 4.1d+87) then
        tmp = y1 * (i * (x * j))
    else
        tmp = x * (c * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -5.8e+144) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= -2.4e+33) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -2.65e-238) {
		tmp = a * (y5 * (y * -y3));
	} else if (y0 <= 1.35e-267) {
		tmp = a * (y5 * (t * y2));
	} else if (y0 <= 4.1e+87) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y0 <= -5.8e+144:
		tmp = c * (x * (y0 * y2))
	elif y0 <= -2.4e+33:
		tmp = (b * j) * (t * y4)
	elif y0 <= -2.65e-238:
		tmp = a * (y5 * (y * -y3))
	elif y0 <= 1.35e-267:
		tmp = a * (y5 * (t * y2))
	elif y0 <= 4.1e+87:
		tmp = y1 * (i * (x * j))
	else:
		tmp = x * (c * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y0 <= -5.8e+144)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y0 <= -2.4e+33)
		tmp = Float64(Float64(b * j) * Float64(t * y4));
	elseif (y0 <= -2.65e-238)
		tmp = Float64(a * Float64(y5 * Float64(y * Float64(-y3))));
	elseif (y0 <= 1.35e-267)
		tmp = Float64(a * Float64(y5 * Float64(t * y2)));
	elseif (y0 <= 4.1e+87)
		tmp = Float64(y1 * Float64(i * Float64(x * j)));
	else
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y0 <= -5.8e+144)
		tmp = c * (x * (y0 * y2));
	elseif (y0 <= -2.4e+33)
		tmp = (b * j) * (t * y4);
	elseif (y0 <= -2.65e-238)
		tmp = a * (y5 * (y * -y3));
	elseif (y0 <= 1.35e-267)
		tmp = a * (y5 * (t * y2));
	elseif (y0 <= 4.1e+87)
		tmp = y1 * (i * (x * j));
	else
		tmp = x * (c * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y0, -5.8e+144], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2.4e+33], N[(N[(b * j), $MachinePrecision] * N[(t * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2.65e-238], N[(a * N[(y5 * N[(y * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.35e-267], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4.1e+87], N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y0 < -5.79999999999999996e144

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 36.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 36.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 36.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 36.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 36.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 36.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 36.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 49.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 39.9%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 39.9%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 46.1%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 46.1%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -5.79999999999999996e144 < y0 < -2.4e33

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 66.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 46.6%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 36.8%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 41.4%

         \[\leadsto \color{blue}{\left(y4 \cdot t\right) \cdot \left(b \cdot j\right)} \]

      2. *-commutative 41.4%

         \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(y4 \cdot t\right)} \]

      3. *-commutative 41.4%

         \[\leadsto \left(b \cdot j\right) \cdot \color{blue}{\left(t \cdot y4\right)} \]

   8. Simplified 41.4%

      \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(t \cdot y4\right)} \]

   if -2.4e33 < y0 < -2.64999999999999984e-238

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 27.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 27.9%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 27.9%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 27.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 27.8%

       \[\leadsto a \cdot \left(\color{blue}{\left(-1 \cdot \left(y \cdot y3\right)\right)} \cdot y5\right) \]
   11. Step-by-step derivation

       1. neg-mul-1 27.8%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y \cdot y3\right)} \cdot y5\right) \]

   12. Simplified 27.8%

       \[\leadsto a \cdot \left(\color{blue}{\left(-y \cdot y3\right)} \cdot y5\right) \]

   if -2.64999999999999984e-238 < y0 < 1.34999999999999994e-267

   1. Initial program 41.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 41.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 42.0%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 42.0%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 42.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 59.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 59.9%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 59.9%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 59.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 54.2%

       \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]

   if 1.34999999999999994e-267 < y0 < 4.0999999999999999e87

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 36.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 44.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 44.9%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 44.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 44.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 44.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 44.9%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 44.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 36.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 36.4%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 36.4%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 36.4%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 36.4%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 36.4%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 28.8%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]

   if 4.0999999999999999e87 < y0

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 39.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 39.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 39.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 39.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 39.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 39.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 39.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 43.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.5%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.5%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.5%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 38.6%

       \[\leadsto \left(c \cdot \color{blue}{\left(y0 \cdot y2\right)}\right) \cdot x \]
3. Recombined 6 regimes into one program.

4. Final simplification 35.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -5.8 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -2.4 \cdot 10^{+33}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -2.65 \cdot 10^{-238}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(y \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y0 \leq 1.35 \cdot 10^{-267}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 4.1 \cdot 10^{+87}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 38: 28.3% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -6.6 \cdot 10^{+86}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{-205}:\\ \;\;\;\;a \cdot \left(t \cdot \left(b \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;c \leq 6.5 \cdot 10^{+97}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -6.6e+86)
   (* c (* y0 (- (* x y2) (* z y3))))
   (if (<= c -1.5e-205)
     (* a (* t (* b (- z))))
     (if (<= c 6.5e+97)
       (* a (* y5 (- (* t y2) (* y y3))))
       (* c (* y (- (* y3 y4) (* x i))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -6.6e+86) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (c <= -1.5e-205) {
		tmp = a * (t * (b * -z));
	} else if (c <= 6.5e+97) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-6.6d+86)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (c <= (-1.5d-205)) then
        tmp = a * (t * (b * -z))
    else if (c <= 6.5d+97) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else
        tmp = c * (y * ((y3 * y4) - (x * i)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -6.6e+86) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (c <= -1.5e-205) {
		tmp = a * (t * (b * -z));
	} else if (c <= 6.5e+97) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else {
		tmp = c * (y * ((y3 * y4) - (x * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -6.6e+86:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif c <= -1.5e-205:
		tmp = a * (t * (b * -z))
	elif c <= 6.5e+97:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	else:
		tmp = c * (y * ((y3 * y4) - (x * i)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -6.6e+86)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (c <= -1.5e-205)
		tmp = Float64(a * Float64(t * Float64(b * Float64(-z))));
	elseif (c <= 6.5e+97)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	else
		tmp = Float64(c * Float64(y * Float64(Float64(y3 * y4) - Float64(x * i))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -6.6e+86)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (c <= -1.5e-205)
		tmp = a * (t * (b * -z));
	elseif (c <= 6.5e+97)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	else
		tmp = c * (y * ((y3 * y4) - (x * i)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -6.6e+86], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.5e-205], N[(a * N[(t * N[(b * (-z)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 6.5e+97], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if c < -6.5999999999999998e86

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.9%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 59.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 59.6%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 59.6%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 59.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 59.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 59.6%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 59.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y0 around -inf 45.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -6.5999999999999998e86 < c < -1.5e-205

   1. Initial program 39.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 39.4%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in z around -inf 47.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y3 + t \cdot \left(a \cdot b - c \cdot i\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot k\right) \cdot z\right)} \]

   5. Taylor expanded in a around inf 32.5%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(a \cdot \left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right)\right)} \cdot z\right) \]
   6. Step-by-step derivation

      1. *-commutative 32.5%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b + -1 \cdot \left(y1 \cdot y3\right)\right) \cdot a\right)} \cdot z\right) \]

      2. mul-1-neg 32.5%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b + \color{blue}{\left(-y1 \cdot y3\right)}\right) \cdot a\right) \cdot z\right) \]

      3. sub-neg 32.5%

         \[\leadsto -1 \cdot \left(\left(\color{blue}{\left(t \cdot b - y1 \cdot y3\right)} \cdot a\right) \cdot z\right) \]

      4. *-commutative 32.5%

         \[\leadsto -1 \cdot \left(\left(\left(t \cdot b - \color{blue}{y3 \cdot y1}\right) \cdot a\right) \cdot z\right) \]

   7. Simplified 32.5%

      \[\leadsto -1 \cdot \left(\color{blue}{\left(\left(t \cdot b - y3 \cdot y1\right) \cdot a\right)} \cdot z\right) \]

   8. Taylor expanded in t around inf 30.6%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(t \cdot \left(z \cdot b\right)\right)\right)} \]

   if -1.5e-205 < c < 6.4999999999999999e97

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 33.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 38.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 38.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 34.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 34.6%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 34.6%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 34.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if 6.4999999999999999e97 < c

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 19.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 52.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 52.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 52.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 52.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 52.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 52.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 52.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y around -inf 44.4%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y4 \cdot y3 + -1 \cdot \left(i \cdot x\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 44.4%

         \[\leadsto c \cdot \left(y \cdot \left(y4 \cdot y3 + \color{blue}{\left(-i \cdot x\right)}\right)\right) \]

      2. unsub-neg 44.4%

         \[\leadsto c \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3 - i \cdot x\right)}\right) \]

      3. *-commutative 44.4%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{y3 \cdot y4} - i \cdot x\right)\right) \]

      4. *-commutative 44.4%

         \[\leadsto c \cdot \left(y \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right)\right) \]

   9. Simplified 44.4%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 37.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -6.6 \cdot 10^{+86}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{-205}:\\ \;\;\;\;a \cdot \left(t \cdot \left(b \cdot \left(-z\right)\right)\right)\\ \mathbf{elif}\;c \leq 6.5 \cdot 10^{+97}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4 - x \cdot i\right)\right)\\ \end{array} \]

Alternative 39: 27.1% accurate, 5.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -1.45 \cdot 10^{-236}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 1.85 \cdot 10^{+46}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq 5.1 \cdot 10^{+57}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq 4.4 \cdot 10^{+124}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y0 -1.45e-236)
   (* c (* y2 (- (* x y0) (* t y4))))
   (if (<= y0 1.85e+46)
     (* a (* y5 (- (* t y2) (* y y3))))
     (if (<= y0 5.1e+57)
       (* i (* j (* x y1)))
       (if (<= y0 4.4e+124)
         (* (- a) (* y (* y3 y5)))
         (* x (* c (* y0 y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -1.45e-236) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y0 <= 1.85e+46) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y0 <= 5.1e+57) {
		tmp = i * (j * (x * y1));
	} else if (y0 <= 4.4e+124) {
		tmp = -a * (y * (y3 * y5));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y0 <= (-1.45d-236)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (y0 <= 1.85d+46) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y0 <= 5.1d+57) then
        tmp = i * (j * (x * y1))
    else if (y0 <= 4.4d+124) then
        tmp = -a * (y * (y3 * y5))
    else
        tmp = x * (c * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -1.45e-236) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y0 <= 1.85e+46) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y0 <= 5.1e+57) {
		tmp = i * (j * (x * y1));
	} else if (y0 <= 4.4e+124) {
		tmp = -a * (y * (y3 * y5));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y0 <= -1.45e-236:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif y0 <= 1.85e+46:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y0 <= 5.1e+57:
		tmp = i * (j * (x * y1))
	elif y0 <= 4.4e+124:
		tmp = -a * (y * (y3 * y5))
	else:
		tmp = x * (c * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y0 <= -1.45e-236)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (y0 <= 1.85e+46)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y0 <= 5.1e+57)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (y0 <= 4.4e+124)
		tmp = Float64(Float64(-a) * Float64(y * Float64(y3 * y5)));
	else
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y0 <= -1.45e-236)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (y0 <= 1.85e+46)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y0 <= 5.1e+57)
		tmp = i * (j * (x * y1));
	elseif (y0 <= 4.4e+124)
		tmp = -a * (y * (y3 * y5));
	else
		tmp = x * (c * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y0, -1.45e-236], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.85e+46], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 5.1e+57], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4.4e+124], N[((-a) * N[(y * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y0 < -1.45e-236

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 40.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 40.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 40.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 40.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 40.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 40.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 40.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in y2 around inf 36.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot x - y4 \cdot t\right) \cdot y2\right)} \]

   if -1.45e-236 < y0 < 1.84999999999999995e46

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.2%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 36.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 36.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 39.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 39.6%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 39.6%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 39.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   if 1.84999999999999995e46 < y0 < 5.10000000000000023e57

   1. Initial program 66.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 66.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 56.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 56.1%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 56.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 56.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 56.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 56.1%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 56.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 66.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 66.9%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 66.9%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 66.9%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 66.9%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 66.9%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 67.3%

       \[\leadsto \left(-i\right) \cdot \left(j \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot x\right)\right)}\right) \]
   11. Step-by-step derivation

       1. mul-1-neg 67.3%

          \[\leadsto \left(-i\right) \cdot \left(j \cdot \color{blue}{\left(-y1 \cdot x\right)}\right) \]

       2. *-commutative 67.3%

          \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(-\color{blue}{x \cdot y1}\right)\right) \]

       3. distribute-rgt-neg-in 67.3%

          \[\leadsto \left(-i\right) \cdot \left(j \cdot \color{blue}{\left(x \cdot \left(-y1\right)\right)}\right) \]

   12. Simplified 67.3%

       \[\leadsto \left(-i\right) \cdot \left(j \cdot \color{blue}{\left(x \cdot \left(-y1\right)\right)}\right) \]

   if 5.10000000000000023e57 < y0 < 4.4000000000000002e124

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 30.5%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 30.5%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 30.5%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 20.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 20.7%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 20.7%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 20.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around 0 30.8%

       \[\leadsto a \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 30.8%

          \[\leadsto a \cdot \color{blue}{\left(\left(-1 \cdot y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

       2. neg-mul-1 30.8%

          \[\leadsto a \cdot \left(\color{blue}{\left(-y\right)} \cdot \left(y3 \cdot y5\right)\right) \]

   12. Simplified 30.8%

       \[\leadsto a \cdot \color{blue}{\left(\left(-y\right) \cdot \left(y3 \cdot y5\right)\right)} \]

   if 4.4000000000000002e124 < y0

   1. Initial program 24.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.7%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 42.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 42.5%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 42.5%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 42.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 42.5%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 42.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 47.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 46.1%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 46.1%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 46.1%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 41.7%

       \[\leadsto \left(c \cdot \color{blue}{\left(y0 \cdot y2\right)}\right) \cdot x \]
3. Recombined 5 regimes into one program.

4. Final simplification 39.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.45 \cdot 10^{-236}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 1.85 \cdot 10^{+46}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq 5.1 \cdot 10^{+57}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq 4.4 \cdot 10^{+124}:\\ \;\;\;\;\left(-a\right) \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 40: 21.2% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{if}\;y0 \leq -1.8 \cdot 10^{+135}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -3.5 \cdot 10^{+50}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -3.1 \cdot 10^{-264}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 4.7 \cdot 10^{+90}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))))
   (if (<= y0 -1.8e+135)
     t_1
     (if (<= y0 -3.5e+50)
       (* y4 (* b (* t j)))
       (if (<= y0 -3.1e-264)
         (* a (* y2 (* t y5)))
         (if (<= y0 4.7e+90) (* y1 (* i (* x j))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -1.8e+135) {
		tmp = t_1;
	} else if (y0 <= -3.5e+50) {
		tmp = y4 * (b * (t * j));
	} else if (y0 <= -3.1e-264) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 4.7e+90) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (x * (y0 * y2))
    if (y0 <= (-1.8d+135)) then
        tmp = t_1
    else if (y0 <= (-3.5d+50)) then
        tmp = y4 * (b * (t * j))
    else if (y0 <= (-3.1d-264)) then
        tmp = a * (y2 * (t * y5))
    else if (y0 <= 4.7d+90) then
        tmp = y1 * (i * (x * j))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -1.8e+135) {
		tmp = t_1;
	} else if (y0 <= -3.5e+50) {
		tmp = y4 * (b * (t * j));
	} else if (y0 <= -3.1e-264) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 4.7e+90) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * (y0 * y2))
	tmp = 0
	if y0 <= -1.8e+135:
		tmp = t_1
	elif y0 <= -3.5e+50:
		tmp = y4 * (b * (t * j))
	elif y0 <= -3.1e-264:
		tmp = a * (y2 * (t * y5))
	elif y0 <= 4.7e+90:
		tmp = y1 * (i * (x * j))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(y0 * y2)))
	tmp = 0.0
	if (y0 <= -1.8e+135)
		tmp = t_1;
	elseif (y0 <= -3.5e+50)
		tmp = Float64(y4 * Float64(b * Float64(t * j)));
	elseif (y0 <= -3.1e-264)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (y0 <= 4.7e+90)
		tmp = Float64(y1 * Float64(i * Float64(x * j)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * (y0 * y2));
	tmp = 0.0;
	if (y0 <= -1.8e+135)
		tmp = t_1;
	elseif (y0 <= -3.5e+50)
		tmp = y4 * (b * (t * j));
	elseif (y0 <= -3.1e-264)
		tmp = a * (y2 * (t * y5));
	elseif (y0 <= 4.7e+90)
		tmp = y1 * (i * (x * j));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1.8e+135], t$95$1, If[LessEqual[y0, -3.5e+50], N[(y4 * N[(b * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -3.1e-264], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4.7e+90], N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if y0 < -1.7999999999999999e135 or 4.7000000000000001e90 < y0

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 38.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 38.0%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 38.0%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 38.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 38.0%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 38.0%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 38.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 35.0%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 35.0%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 41.1%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 41.1%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -1.7999999999999999e135 < y0 < -3.50000000000000006e50

   1. Initial program 35.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 71.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 48.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 37.2%

      \[\leadsto y4 \cdot \color{blue}{\left(t \cdot \left(j \cdot b\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 37.2%

         \[\leadsto y4 \cdot \color{blue}{\left(\left(t \cdot j\right) \cdot b\right)} \]

      2. *-commutative 37.2%

         \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   8. Simplified 37.2%

      \[\leadsto y4 \cdot \color{blue}{\left(b \cdot \left(t \cdot j\right)\right)} \]

   if -3.50000000000000006e50 < y0 < -3.1000000000000002e-264

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 32.3%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 32.3%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 23.2%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 23.2%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 21.9%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 21.9%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 21.9%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 21.9%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 23.2%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 21.9%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 21.9%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 24.4%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 24.4%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   if -3.1000000000000002e-264 < y0 < 4.7000000000000001e90

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 46.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 46.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 37.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 37.0%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 37.0%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 30.2%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.8 \cdot 10^{+135}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -3.5 \cdot 10^{+50}:\\ \;\;\;\;y4 \cdot \left(b \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -3.1 \cdot 10^{-264}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 4.7 \cdot 10^{+90}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 41: 21.3% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{if}\;y0 \leq -2 \cdot 10^{+138}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -4.8 \cdot 10^{+48}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -3.6 \cdot 10^{-262}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 2.95 \cdot 10^{+92}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))))
   (if (<= y0 -2e+138)
     t_1
     (if (<= y0 -4.8e+48)
       (* (* b j) (* t y4))
       (if (<= y0 -3.6e-262)
         (* a (* y2 (* t y5)))
         (if (<= y0 2.95e+92) (* y1 (* i (* x j))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -2e+138) {
		tmp = t_1;
	} else if (y0 <= -4.8e+48) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -3.6e-262) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 2.95e+92) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (x * (y0 * y2))
    if (y0 <= (-2d+138)) then
        tmp = t_1
    else if (y0 <= (-4.8d+48)) then
        tmp = (b * j) * (t * y4)
    else if (y0 <= (-3.6d-262)) then
        tmp = a * (y2 * (t * y5))
    else if (y0 <= 2.95d+92) then
        tmp = y1 * (i * (x * j))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -2e+138) {
		tmp = t_1;
	} else if (y0 <= -4.8e+48) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -3.6e-262) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 2.95e+92) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * (y0 * y2))
	tmp = 0
	if y0 <= -2e+138:
		tmp = t_1
	elif y0 <= -4.8e+48:
		tmp = (b * j) * (t * y4)
	elif y0 <= -3.6e-262:
		tmp = a * (y2 * (t * y5))
	elif y0 <= 2.95e+92:
		tmp = y1 * (i * (x * j))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(y0 * y2)))
	tmp = 0.0
	if (y0 <= -2e+138)
		tmp = t_1;
	elseif (y0 <= -4.8e+48)
		tmp = Float64(Float64(b * j) * Float64(t * y4));
	elseif (y0 <= -3.6e-262)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (y0 <= 2.95e+92)
		tmp = Float64(y1 * Float64(i * Float64(x * j)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * (y0 * y2));
	tmp = 0.0;
	if (y0 <= -2e+138)
		tmp = t_1;
	elseif (y0 <= -4.8e+48)
		tmp = (b * j) * (t * y4);
	elseif (y0 <= -3.6e-262)
		tmp = a * (y2 * (t * y5));
	elseif (y0 <= 2.95e+92)
		tmp = y1 * (i * (x * j));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -2e+138], t$95$1, If[LessEqual[y0, -4.8e+48], N[(N[(b * j), $MachinePrecision] * N[(t * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -3.6e-262], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2.95e+92], N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if y0 < -2.0000000000000001e138 or 2.9499999999999998e92 < y0

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 24.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 38.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 38.0%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 38.0%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 38.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 38.0%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 38.0%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 38.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 45.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 35.0%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 35.0%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 41.1%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 41.1%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -2.0000000000000001e138 < y0 < -4.8000000000000002e48

   1. Initial program 35.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 71.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 48.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 37.2%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(y4 \cdot t\right) \cdot \left(b \cdot j\right)} \]

      2. *-commutative 42.6%

         \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(y4 \cdot t\right)} \]

      3. *-commutative 42.6%

         \[\leadsto \left(b \cdot j\right) \cdot \color{blue}{\left(t \cdot y4\right)} \]

   8. Simplified 42.6%

      \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(t \cdot y4\right)} \]

   if -4.8000000000000002e48 < y0 < -3.5999999999999998e-262

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 32.3%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 32.3%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 23.2%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 23.2%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 21.9%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 21.9%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 21.9%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 21.9%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 23.2%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 21.9%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 21.9%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 24.4%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 24.4%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   if -3.5999999999999998e-262 < y0 < 2.9499999999999998e92

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 46.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 46.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 37.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 37.0%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 37.0%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 30.2%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -2 \cdot 10^{+138}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -4.8 \cdot 10^{+48}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -3.6 \cdot 10^{-262}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 2.95 \cdot 10^{+92}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 42: 21.2% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -9 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -7.4 \cdot 10^{+49}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -1.8 \cdot 10^{-264}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 9 \cdot 10^{+90}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y0 -9e+144)
   (* c (* x (* y0 y2)))
   (if (<= y0 -7.4e+49)
     (* (* b j) (* t y4))
     (if (<= y0 -1.8e-264)
       (* a (* y2 (* t y5)))
       (if (<= y0 9e+90) (* y1 (* i (* x j))) (* x (* c (* y0 y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -9e+144) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= -7.4e+49) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -1.8e-264) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 9e+90) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y0 <= (-9d+144)) then
        tmp = c * (x * (y0 * y2))
    else if (y0 <= (-7.4d+49)) then
        tmp = (b * j) * (t * y4)
    else if (y0 <= (-1.8d-264)) then
        tmp = a * (y2 * (t * y5))
    else if (y0 <= 9d+90) then
        tmp = y1 * (i * (x * j))
    else
        tmp = x * (c * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -9e+144) {
		tmp = c * (x * (y0 * y2));
	} else if (y0 <= -7.4e+49) {
		tmp = (b * j) * (t * y4);
	} else if (y0 <= -1.8e-264) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 9e+90) {
		tmp = y1 * (i * (x * j));
	} else {
		tmp = x * (c * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y0 <= -9e+144:
		tmp = c * (x * (y0 * y2))
	elif y0 <= -7.4e+49:
		tmp = (b * j) * (t * y4)
	elif y0 <= -1.8e-264:
		tmp = a * (y2 * (t * y5))
	elif y0 <= 9e+90:
		tmp = y1 * (i * (x * j))
	else:
		tmp = x * (c * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y0 <= -9e+144)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y0 <= -7.4e+49)
		tmp = Float64(Float64(b * j) * Float64(t * y4));
	elseif (y0 <= -1.8e-264)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (y0 <= 9e+90)
		tmp = Float64(y1 * Float64(i * Float64(x * j)));
	else
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y0 <= -9e+144)
		tmp = c * (x * (y0 * y2));
	elseif (y0 <= -7.4e+49)
		tmp = (b * j) * (t * y4);
	elseif (y0 <= -1.8e-264)
		tmp = a * (y2 * (t * y5));
	elseif (y0 <= 9e+90)
		tmp = y1 * (i * (x * j));
	else
		tmp = x * (c * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y0, -9e+144], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -7.4e+49], N[(N[(b * j), $MachinePrecision] * N[(t * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.8e-264], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 9e+90], N[(y1 * N[(i * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y0 < -8.99999999999999935e144

   1. Initial program 22.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.6%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 36.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 36.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 36.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 36.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 36.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 36.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 36.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 49.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.8%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.8%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.8%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 39.9%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 39.9%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 46.1%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 46.1%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -8.99999999999999935e144 < y0 < -7.40000000000000036e49

   1. Initial program 35.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 35.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 71.8%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(\left(t \cdot j - k \cdot y\right) \cdot b + y1 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   5. Taylor expanded in t around inf 48.1%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(j \cdot b - c \cdot y2\right)\right)} \]

   6. Taylor expanded in j around inf 37.2%

      \[\leadsto \color{blue}{y4 \cdot \left(t \cdot \left(b \cdot j\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(y4 \cdot t\right) \cdot \left(b \cdot j\right)} \]

      2. *-commutative 42.6%

         \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(y4 \cdot t\right)} \]

      3. *-commutative 42.6%

         \[\leadsto \left(b \cdot j\right) \cdot \color{blue}{\left(t \cdot y4\right)} \]

   8. Simplified 42.6%

      \[\leadsto \color{blue}{\left(b \cdot j\right) \cdot \left(t \cdot y4\right)} \]

   if -7.40000000000000036e49 < y0 < -1.8000000000000001e-264

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.3%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.6%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.6%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.6%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 32.3%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 32.3%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 32.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 23.2%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 23.2%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 21.9%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 21.9%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 21.9%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 21.9%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 23.2%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 21.9%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 21.9%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 24.4%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 24.4%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   if -1.8000000000000001e-264 < y0 < 9e90

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 46.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 46.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 37.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 37.0%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 37.0%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in t around 0 30.2%

       \[\leadsto \color{blue}{y1 \cdot \left(i \cdot \left(j \cdot x\right)\right)} \]

   if 9e90 < y0

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 25.8%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 39.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 39.2%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 39.2%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 39.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 39.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 39.2%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 39.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 43.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 42.5%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 42.5%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 42.5%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 38.6%

       \[\leadsto \left(c \cdot \color{blue}{\left(y0 \cdot y2\right)}\right) \cdot x \]
3. Recombined 5 regimes into one program.

4. Final simplification 32.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -9 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -7.4 \cdot 10^{+49}:\\ \;\;\;\;\left(b \cdot j\right) \cdot \left(t \cdot y4\right)\\ \mathbf{elif}\;y0 \leq -1.8 \cdot 10^{-264}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 9 \cdot 10^{+90}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 43: 21.8% accurate, 7.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{if}\;y0 \leq -8.5 \cdot 10^{+59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -4.9 \cdot 10^{-264}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.7 \cdot 10^{+96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))))
   (if (<= y0 -8.5e+59)
     t_1
     (if (<= y0 -4.9e-264)
       (* a (* y2 (* t y5)))
       (if (<= y0 1.7e+96) (* i (* y1 (* x j))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -8.5e+59) {
		tmp = t_1;
	} else if (y0 <= -4.9e-264) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 1.7e+96) {
		tmp = i * (y1 * (x * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (x * (y0 * y2))
    if (y0 <= (-8.5d+59)) then
        tmp = t_1
    else if (y0 <= (-4.9d-264)) then
        tmp = a * (y2 * (t * y5))
    else if (y0 <= 1.7d+96) then
        tmp = i * (y1 * (x * j))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -8.5e+59) {
		tmp = t_1;
	} else if (y0 <= -4.9e-264) {
		tmp = a * (y2 * (t * y5));
	} else if (y0 <= 1.7e+96) {
		tmp = i * (y1 * (x * j));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * (y0 * y2))
	tmp = 0
	if y0 <= -8.5e+59:
		tmp = t_1
	elif y0 <= -4.9e-264:
		tmp = a * (y2 * (t * y5))
	elif y0 <= 1.7e+96:
		tmp = i * (y1 * (x * j))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(y0 * y2)))
	tmp = 0.0
	if (y0 <= -8.5e+59)
		tmp = t_1;
	elseif (y0 <= -4.9e-264)
		tmp = Float64(a * Float64(y2 * Float64(t * y5)));
	elseif (y0 <= 1.7e+96)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * (y0 * y2));
	tmp = 0.0;
	if (y0 <= -8.5e+59)
		tmp = t_1;
	elseif (y0 <= -4.9e-264)
		tmp = a * (y2 * (t * y5));
	elseif (y0 <= 1.7e+96)
		tmp = i * (y1 * (x * j));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -8.5e+59], t$95$1, If[LessEqual[y0, -4.9e-264], N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.7e+96], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y0 < -8.4999999999999999e59 or 1.7e96 < y0

   1. Initial program 27.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 27.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 38.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 38.4%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 38.4%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 38.4%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 38.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 38.4%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 38.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 41.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 39.1%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 39.1%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 39.1%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 31.8%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 31.8%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 36.8%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 36.8%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -8.4999999999999999e59 < y0 < -4.89999999999999988e-264

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.9%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 39.9%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 39.9%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 31.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 31.6%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 31.6%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 31.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 22.8%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. pow1 22.8%

          \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

       2. associate-*r* 21.5%

          \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

       3. *-commutative 21.5%

          \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

   12. Applied egg-rr 21.5%

       \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
   13. Step-by-step derivation

       1. unpow1 21.5%

          \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

       2. associate-*l* 22.8%

          \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 21.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

       4. *-commutative 21.5%

          \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

       5. associate-*l* 23.9%

          \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   14. Simplified 23.9%

       \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

   if -4.89999999999999988e-264 < y0 < 1.7e96

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 37.0%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in j around inf 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + t \cdot \left(y4 \cdot b - i \cdot y5\right)\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 46.7%

         \[\leadsto j \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right)} \]

      2. mul-1-neg 46.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(-y3 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      3. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(y0 \cdot b - y1 \cdot i\right) \cdot x\right)\right) \]

      4. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(\color{blue}{b \cdot y0} - y1 \cdot i\right) \cdot x\right)\right) \]

      5. *-commutative 46.7%

         \[\leadsto j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - \color{blue}{i \cdot y1}\right) \cdot x\right)\right) \]

   6. Simplified 46.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-y3 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right) + \left(t \cdot \left(y4 \cdot b - i \cdot y5\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)\right)} \]

   7. Taylor expanded in i around -inf 37.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.0%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right)} \]

      2. neg-mul-1 37.0%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(\left(t \cdot y5 - y1 \cdot x\right) \cdot j\right) \]

      3. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \color{blue}{\left(j \cdot \left(t \cdot y5 - y1 \cdot x\right)\right)} \]

      4. *-commutative 37.0%

         \[\leadsto \left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - \color{blue}{x \cdot y1}\right)\right) \]

   9. Simplified 37.0%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

   10. Taylor expanded in x around inf 29.7%

       \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 30.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -8.5 \cdot 10^{+59}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -4.9 \cdot 10^{-264}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.7 \cdot 10^{+96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 44: 20.7% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -4.5 \cdot 10^{+59} \lor \neg \left(y0 \leq 1.4 \cdot 10^{+18}\right):\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y0 -4.5e+59) (not (<= y0 1.4e+18)))
   (* c (* y0 (* x y2)))
   (* a (* y5 (* t y2)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -4.5e+59) || !(y0 <= 1.4e+18)) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = a * (y5 * (t * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((y0 <= (-4.5d+59)) .or. (.not. (y0 <= 1.4d+18))) then
        tmp = c * (y0 * (x * y2))
    else
        tmp = a * (y5 * (t * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -4.5e+59) || !(y0 <= 1.4e+18)) {
		tmp = c * (y0 * (x * y2));
	} else {
		tmp = a * (y5 * (t * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (y0 <= -4.5e+59) or not (y0 <= 1.4e+18):
		tmp = c * (y0 * (x * y2))
	else:
		tmp = a * (y5 * (t * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((y0 <= -4.5e+59) || !(y0 <= 1.4e+18))
		tmp = Float64(c * Float64(y0 * Float64(x * y2)));
	else
		tmp = Float64(a * Float64(y5 * Float64(t * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((y0 <= -4.5e+59) || ~((y0 <= 1.4e+18)))
		tmp = c * (y0 * (x * y2));
	else
		tmp = a * (y5 * (t * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[y0, -4.5e+59], N[Not[LessEqual[y0, 1.4e+18]], $MachinePrecision]], N[(c * N[(y0 * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y0 < -4.49999999999999959e59 or 1.4e18 < y0

   1. Initial program 30.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 40.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 40.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 40.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 40.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 40.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 42.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 39.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 39.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 39.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 29.8%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 29.8%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

   12. Simplified 29.8%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(y2 \cdot x\right)\right)} \]

   if -4.49999999999999959e59 < y0 < 1.4e18

   1. Initial program 32.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 38.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 38.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 33.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 33.4%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 33.4%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 33.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 21.4%

       \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 25.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -4.5 \cdot 10^{+59} \lor \neg \left(y0 \leq 1.4 \cdot 10^{+18}\right):\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \end{array} \]

Alternative 45: 21.6% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -1.3 \cdot 10^{+60} \lor \neg \left(y0 \leq 2.3 \cdot 10^{+17}\right):\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y0 -1.3e+60) (not (<= y0 2.3e+17)))
   (* c (* x (* y0 y2)))
   (* a (* y5 (* t y2)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -1.3e+60) || !(y0 <= 2.3e+17)) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = a * (y5 * (t * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((y0 <= (-1.3d+60)) .or. (.not. (y0 <= 2.3d+17))) then
        tmp = c * (x * (y0 * y2))
    else
        tmp = a * (y5 * (t * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -1.3e+60) || !(y0 <= 2.3e+17)) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = a * (y5 * (t * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (y0 <= -1.3e+60) or not (y0 <= 2.3e+17):
		tmp = c * (x * (y0 * y2))
	else:
		tmp = a * (y5 * (t * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((y0 <= -1.3e+60) || !(y0 <= 2.3e+17))
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	else
		tmp = Float64(a * Float64(y5 * Float64(t * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((y0 <= -1.3e+60) || ~((y0 <= 2.3e+17)))
		tmp = c * (x * (y0 * y2));
	else
		tmp = a * (y5 * (t * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[y0, -1.3e+60], N[Not[LessEqual[y0, 2.3e+17]], $MachinePrecision]], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y0 < -1.30000000000000004e60 or 2.3e17 < y0

   1. Initial program 30.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 30.1%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 40.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + y0 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. associate--l+ 40.8%

         \[\leadsto c \cdot \color{blue}{\left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

      2. *-commutative 40.8%

         \[\leadsto c \cdot \left(-1 \cdot \left(i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{x \cdot y2} - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      3. mul-1-neg 40.8%

         \[\leadsto c \cdot \left(\color{blue}{\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right)} + \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right) \]

   6. Simplified 40.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(-i \cdot \left(y \cdot x - t \cdot z\right)\right) + \left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   7. Taylor expanded in x around inf 42.7%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2 - y \cdot i\right) \cdot x\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 39.6%

         \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - y \cdot i\right)\right) \cdot x} \]

      2. *-commutative 39.6%

         \[\leadsto \left(c \cdot \left(y0 \cdot y2 - \color{blue}{i \cdot y}\right)\right) \cdot x \]

   9. Simplified 39.6%

      \[\leadsto \color{blue}{\left(c \cdot \left(y0 \cdot y2 - i \cdot y\right)\right) \cdot x} \]

   10. Taylor expanded in y0 around inf 29.8%

       \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2\right)\right)} \]
   11. Step-by-step derivation

       1. *-commutative 29.8%

          \[\leadsto c \cdot \left(y0 \cdot \color{blue}{\left(y2 \cdot x\right)}\right) \]

       2. associate-*r* 34.1%

          \[\leadsto c \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   12. Simplified 34.1%

       \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot y2\right) \cdot x\right)} \]

   if -1.30000000000000004e60 < y0 < 2.3e17

   1. Initial program 32.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 32.5%

      \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around inf 38.3%

      \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
   5. Step-by-step derivation

      1. mul-1-neg 38.3%

         \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   6. Simplified 38.3%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

   7. Taylor expanded in a around inf 33.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
   8. Step-by-step derivation

      1. *-commutative 33.4%

         \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

      2. *-commutative 33.4%

         \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

   9. Simplified 33.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

   10. Taylor expanded in y2 around inf 21.4%

       \[\leadsto a \cdot \left(\color{blue}{\left(t \cdot y2\right)} \cdot y5\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 26.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.3 \cdot 10^{+60} \lor \neg \left(y0 \leq 2.3 \cdot 10^{+17}\right):\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \end{array} \]

Alternative 46: 16.3% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* t (* y2 y5))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (t * (y2 * y5));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * (t * (y2 * y5))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (t * (y2 * y5));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (t * (y2 * y5))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(t * Float64(y2 * y5)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (t * (y2 * y5));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 31.4%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

3. Simplified 31.4%

   \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

4. Taylor expanded in y5 around inf 35.0%

   \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
5. Step-by-step derivation

   1. mul-1-neg 35.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

6. Simplified 35.0%

   \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

7. Taylor expanded in a around inf 26.7%

   \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
8. Step-by-step derivation

   1. *-commutative 26.7%

      \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

   2. *-commutative 26.7%

      \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

9. Simplified 26.7%

   \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

10. Taylor expanded in y2 around inf 17.1%

    \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

11. Final simplification 17.1%

    \[\leadsto a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \]

Alternative 47: 16.2% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* y2 (* t y5))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (y2 * (t * y5));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * (y2 * (t * y5))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (y2 * (t * y5));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (y2 * (t * y5))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(y2 * Float64(t * y5)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (y2 * (t * y5));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(y2 * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 31.4%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

3. Simplified 31.4%

   \[\leadsto \color{blue}{\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

4. Taylor expanded in y5 around inf 35.0%

   \[\leadsto \color{blue}{-1 \cdot \left(\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]
5. Step-by-step derivation

   1. mul-1-neg 35.0%

      \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

6. Simplified 35.0%

   \[\leadsto \color{blue}{\left(-\left(t \cdot j - k \cdot y\right) \cdot \left(i \cdot y5\right)\right)} - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) \]

7. Taylor expanded in a around inf 26.7%

   \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2 - y \cdot y3\right) \cdot y5\right)} \]
8. Step-by-step derivation

   1. *-commutative 26.7%

      \[\leadsto a \cdot \left(\left(\color{blue}{y2 \cdot t} - y \cdot y3\right) \cdot y5\right) \]

   2. *-commutative 26.7%

      \[\leadsto a \cdot \left(\left(y2 \cdot t - \color{blue}{y3 \cdot y}\right) \cdot y5\right) \]

9. Simplified 26.7%

   \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot t - y3 \cdot y\right) \cdot y5\right)} \]

10. Taylor expanded in y2 around inf 17.1%

    \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]
11. Step-by-step derivation

    1. pow1 17.1%

       \[\leadsto \color{blue}{{\left(a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)\right)}^{1}} \]

    2. associate-*r* 16.3%

       \[\leadsto {\color{blue}{\left(\left(a \cdot t\right) \cdot \left(y5 \cdot y2\right)\right)}}^{1} \]

    3. *-commutative 16.3%

       \[\leadsto {\left(\left(a \cdot t\right) \cdot \color{blue}{\left(y2 \cdot y5\right)}\right)}^{1} \]

12. Applied egg-rr 16.3%

    \[\leadsto \color{blue}{{\left(\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)\right)}^{1}} \]
13. Step-by-step derivation

    1. unpow1 16.3%

       \[\leadsto \color{blue}{\left(a \cdot t\right) \cdot \left(y2 \cdot y5\right)} \]

    2. associate-*l* 17.1%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]

    3. associate-*r* 17.1%

       \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

    4. *-commutative 17.1%

       \[\leadsto a \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot y5\right) \]

    5. associate-*l* 17.4%

       \[\leadsto a \cdot \color{blue}{\left(y2 \cdot \left(t \cdot y5\right)\right)} \]

14. Simplified 17.4%

    \[\leadsto \color{blue}{a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right)} \]

15. Final simplification 17.4%

    \[\leadsto a \cdot \left(y2 \cdot \left(t \cdot y5\right)\right) \]

Developer target: 28.2% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023224 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))