Jmat.Real.erf

Percentage Accurate: 79.2% → 80.4%
Time: 8.8s
Alternatives: 14
Speedup: 1.0×

Specification

?
\[\begin{array}{l} t_0 := \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\\ 1 - \left(t\_0 \cdot \left(0.254829592 + t\_0 \cdot \left(-0.284496736 + t\_0 \cdot \left(1.421413741 + t\_0 \cdot \left(-1.453152027 + t\_0 \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
  (-
   1.0
   (*
    (*
     t_0
     (+
      0.254829592
      (*
       t_0
       (+
        -0.284496736
        (*
         t_0
         (+
          1.421413741
          (* t_0 (+ -1.453152027 (* t_0 1.061405429)))))))))
    (exp (- (* (fabs x) (fabs x))))))))
double code(double x) {
	double t_0 = 1.0 / (1.0 + (0.3275911 * fabs(x)));
	return 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * exp(-(fabs(x) * fabs(x))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    t_0 = 1.0d0 / (1.0d0 + (0.3275911d0 * abs(x)))
    code = 1.0d0 - ((t_0 * (0.254829592d0 + (t_0 * ((-0.284496736d0) + (t_0 * (1.421413741d0 + (t_0 * ((-1.453152027d0) + (t_0 * 1.061405429d0))))))))) * exp(-(abs(x) * abs(x))))
end function
public static double code(double x) {
	double t_0 = 1.0 / (1.0 + (0.3275911 * Math.abs(x)));
	return 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * Math.exp(-(Math.abs(x) * Math.abs(x))));
}
def code(x):
	t_0 = 1.0 / (1.0 + (0.3275911 * math.fabs(x)))
	return 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * math.exp(-(math.fabs(x) * math.fabs(x))))
function code(x)
	t_0 = Float64(1.0 / Float64(1.0 + Float64(0.3275911 * abs(x))))
	return Float64(1.0 - Float64(Float64(t_0 * Float64(0.254829592 + Float64(t_0 * Float64(-0.284496736 + Float64(t_0 * Float64(1.421413741 + Float64(t_0 * Float64(-1.453152027 + Float64(t_0 * 1.061405429))))))))) * exp(Float64(-Float64(abs(x) * abs(x))))))
end
function tmp = code(x)
	t_0 = 1.0 / (1.0 + (0.3275911 * abs(x)));
	tmp = 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * exp(-(abs(x) * abs(x))));
end
code[x_] := Block[{t$95$0 = N[(1.0 / N[(1.0 + N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, N[(1.0 - N[(N[(t$95$0 * N[(0.254829592 + N[(t$95$0 * N[(-0.284496736 + N[(t$95$0 * N[(1.421413741 + N[(t$95$0 * N[(-1.453152027 + N[(t$95$0 * 1.061405429), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[Exp[(-N[(N[Abs[x], $MachinePrecision] * N[Abs[x], $MachinePrecision]), $MachinePrecision])], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
t_0 := \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\\
1 - \left(t\_0 \cdot \left(0.254829592 + t\_0 \cdot \left(-0.284496736 + t\_0 \cdot \left(1.421413741 + t\_0 \cdot \left(-1.453152027 + t\_0 \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
\end{array}

Local Percentage Accuracy vs ?

The average percentage accuracy by input value. Horizontal axis shows value of an input variable; the variable is choosen in the title. Vertical axis is accuracy; higher is better. Red represent the original program, while blue represents Herbie's suggestion. These can be toggled with buttons below the plot. The line is an average while dots represent individual samples.

Accuracy vs Speed?

Herbie found 14 alternatives:

AlternativeAccuracySpeedup
The accuracy (vertical axis) and speed (horizontal axis) of each alternatives. Up and to the right is better. The red square shows the initial program, and each blue circle shows an alternative.The line shows the best available speed-accuracy tradeoffs.

Initial Program: 79.2% accurate, 1.0× speedup?

\[\begin{array}{l} t_0 := \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\\ 1 - \left(t\_0 \cdot \left(0.254829592 + t\_0 \cdot \left(-0.284496736 + t\_0 \cdot \left(1.421413741 + t\_0 \cdot \left(-1.453152027 + t\_0 \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
  (-
   1.0
   (*
    (*
     t_0
     (+
      0.254829592
      (*
       t_0
       (+
        -0.284496736
        (*
         t_0
         (+
          1.421413741
          (* t_0 (+ -1.453152027 (* t_0 1.061405429)))))))))
    (exp (- (* (fabs x) (fabs x))))))))
double code(double x) {
	double t_0 = 1.0 / (1.0 + (0.3275911 * fabs(x)));
	return 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * exp(-(fabs(x) * fabs(x))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    t_0 = 1.0d0 / (1.0d0 + (0.3275911d0 * abs(x)))
    code = 1.0d0 - ((t_0 * (0.254829592d0 + (t_0 * ((-0.284496736d0) + (t_0 * (1.421413741d0 + (t_0 * ((-1.453152027d0) + (t_0 * 1.061405429d0))))))))) * exp(-(abs(x) * abs(x))))
end function
public static double code(double x) {
	double t_0 = 1.0 / (1.0 + (0.3275911 * Math.abs(x)));
	return 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * Math.exp(-(Math.abs(x) * Math.abs(x))));
}
def code(x):
	t_0 = 1.0 / (1.0 + (0.3275911 * math.fabs(x)))
	return 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * math.exp(-(math.fabs(x) * math.fabs(x))))
function code(x)
	t_0 = Float64(1.0 / Float64(1.0 + Float64(0.3275911 * abs(x))))
	return Float64(1.0 - Float64(Float64(t_0 * Float64(0.254829592 + Float64(t_0 * Float64(-0.284496736 + Float64(t_0 * Float64(1.421413741 + Float64(t_0 * Float64(-1.453152027 + Float64(t_0 * 1.061405429))))))))) * exp(Float64(-Float64(abs(x) * abs(x))))))
end
function tmp = code(x)
	t_0 = 1.0 / (1.0 + (0.3275911 * abs(x)));
	tmp = 1.0 - ((t_0 * (0.254829592 + (t_0 * (-0.284496736 + (t_0 * (1.421413741 + (t_0 * (-1.453152027 + (t_0 * 1.061405429))))))))) * exp(-(abs(x) * abs(x))));
end
code[x_] := Block[{t$95$0 = N[(1.0 / N[(1.0 + N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, N[(1.0 - N[(N[(t$95$0 * N[(0.254829592 + N[(t$95$0 * N[(-0.284496736 + N[(t$95$0 * N[(1.421413741 + N[(t$95$0 * N[(-1.453152027 + N[(t$95$0 * 1.061405429), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[Exp[(-N[(N[Abs[x], $MachinePrecision] * N[Abs[x], $MachinePrecision]), $MachinePrecision])], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
t_0 := \frac{1}{1 + 0.3275911 \cdot \left|x\right|}\\
1 - \left(t\_0 \cdot \left(0.254829592 + t\_0 \cdot \left(-0.284496736 + t\_0 \cdot \left(1.421413741 + t\_0 \cdot \left(-1.453152027 + t\_0 \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
\end{array}

Alternative 1: 80.4% accurate, 0.1× speedup?

\[\begin{array}{l} t_0 := 0.3275911 \cdot \left|x\right|\\ t_1 := t\_0 - -1\\ t_2 := -1 - t\_0\\ t_3 := \left|x\right| \cdot 0.3275911 - -1\\ t_4 := e^{x \cdot x}\\ t_5 := \left|x\right| \cdot -0.3275911\\ t_6 := \frac{t\_5 \cdot t\_5 - 1}{t\_5 + 1}\\ t_7 := \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_3} - -1.453152027}{t\_3} - 1.421413741}{t\_3} - -0.284496736}{t\_6} - -0.254829592}{t\_6 \cdot t\_4}\\ t_8 := \frac{-1.061405429}{t\_1}\\ t_9 := \frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{t\_8 - -1.453152027}{t\_1}}{t\_2}}{t\_1} - -0.254829592}{t\_2 \cdot t\_4}\\ \frac{\frac{1}{\frac{{\left(t\_4 \cdot t\_6\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - t\_8}{t\_6}}{t\_6}}{t\_1} - -0.254829592\right)}^{3}}} + {1}^{3}}{t\_7 \cdot t\_7 + \frac{1 - {t\_9}^{2}}{1 + t\_9}} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (* 0.3275911 (fabs x)))
       (t_1 (- t_0 -1.0))
       (t_2 (- -1.0 t_0))
       (t_3 (- (* (fabs x) 0.3275911) -1.0))
       (t_4 (exp (* x x)))
       (t_5 (* (fabs x) -0.3275911))
       (t_6 (/ (- (* t_5 t_5) 1.0) (+ t_5 1.0)))
       (t_7
        (/
         (-
          (/
           (-
            (/
             (-
              (/ (- (/ -1.061405429 t_3) -1.453152027) t_3)
              1.421413741)
             t_3)
            -0.284496736)
           t_6)
          -0.254829592)
         (* t_6 t_4)))
       (t_8 (/ -1.061405429 t_1))
       (t_9
        (/
         (-
          (/
           (-
            -0.284496736
            (/ (- 1.421413741 (/ (- t_8 -1.453152027) t_1)) t_2))
           t_1)
          -0.254829592)
         (* t_2 t_4))))
  (/
   (+
    (/
     1.0
     (/
      (pow (* t_4 t_6) 3.0)
      (pow
       (-
        (/
         (-
          -0.284496736
          (/ (- 1.421413741 (/ (- -1.453152027 t_8) t_6)) t_6))
         t_1)
        -0.254829592)
       3.0)))
    (pow 1.0 3.0))
   (+ (* t_7 t_7) (/ (- 1.0 (pow t_9 2.0)) (+ 1.0 t_9))))))
double code(double x) {
	double t_0 = 0.3275911 * fabs(x);
	double t_1 = t_0 - -1.0;
	double t_2 = -1.0 - t_0;
	double t_3 = (fabs(x) * 0.3275911) - -1.0;
	double t_4 = exp((x * x));
	double t_5 = fabs(x) * -0.3275911;
	double t_6 = ((t_5 * t_5) - 1.0) / (t_5 + 1.0);
	double t_7 = ((((((((-1.061405429 / t_3) - -1.453152027) / t_3) - 1.421413741) / t_3) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_4);
	double t_8 = -1.061405429 / t_1;
	double t_9 = (((-0.284496736 - ((1.421413741 - ((t_8 - -1.453152027) / t_1)) / t_2)) / t_1) - -0.254829592) / (t_2 * t_4);
	return ((1.0 / (pow((t_4 * t_6), 3.0) / pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_8) / t_6)) / t_6)) / t_1) - -0.254829592), 3.0))) + pow(1.0, 3.0)) / ((t_7 * t_7) + ((1.0 - pow(t_9, 2.0)) / (1.0 + t_9)));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    t_0 = 0.3275911d0 * abs(x)
    t_1 = t_0 - (-1.0d0)
    t_2 = (-1.0d0) - t_0
    t_3 = (abs(x) * 0.3275911d0) - (-1.0d0)
    t_4 = exp((x * x))
    t_5 = abs(x) * (-0.3275911d0)
    t_6 = ((t_5 * t_5) - 1.0d0) / (t_5 + 1.0d0)
    t_7 = (((((((((-1.061405429d0) / t_3) - (-1.453152027d0)) / t_3) - 1.421413741d0) / t_3) - (-0.284496736d0)) / t_6) - (-0.254829592d0)) / (t_6 * t_4)
    t_8 = (-1.061405429d0) / t_1
    t_9 = ((((-0.284496736d0) - ((1.421413741d0 - ((t_8 - (-1.453152027d0)) / t_1)) / t_2)) / t_1) - (-0.254829592d0)) / (t_2 * t_4)
    code = ((1.0d0 / (((t_4 * t_6) ** 3.0d0) / (((((-0.284496736d0) - ((1.421413741d0 - (((-1.453152027d0) - t_8) / t_6)) / t_6)) / t_1) - (-0.254829592d0)) ** 3.0d0))) + (1.0d0 ** 3.0d0)) / ((t_7 * t_7) + ((1.0d0 - (t_9 ** 2.0d0)) / (1.0d0 + t_9)))
end function
public static double code(double x) {
	double t_0 = 0.3275911 * Math.abs(x);
	double t_1 = t_0 - -1.0;
	double t_2 = -1.0 - t_0;
	double t_3 = (Math.abs(x) * 0.3275911) - -1.0;
	double t_4 = Math.exp((x * x));
	double t_5 = Math.abs(x) * -0.3275911;
	double t_6 = ((t_5 * t_5) - 1.0) / (t_5 + 1.0);
	double t_7 = ((((((((-1.061405429 / t_3) - -1.453152027) / t_3) - 1.421413741) / t_3) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_4);
	double t_8 = -1.061405429 / t_1;
	double t_9 = (((-0.284496736 - ((1.421413741 - ((t_8 - -1.453152027) / t_1)) / t_2)) / t_1) - -0.254829592) / (t_2 * t_4);
	return ((1.0 / (Math.pow((t_4 * t_6), 3.0) / Math.pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_8) / t_6)) / t_6)) / t_1) - -0.254829592), 3.0))) + Math.pow(1.0, 3.0)) / ((t_7 * t_7) + ((1.0 - Math.pow(t_9, 2.0)) / (1.0 + t_9)));
}
def code(x):
	t_0 = 0.3275911 * math.fabs(x)
	t_1 = t_0 - -1.0
	t_2 = -1.0 - t_0
	t_3 = (math.fabs(x) * 0.3275911) - -1.0
	t_4 = math.exp((x * x))
	t_5 = math.fabs(x) * -0.3275911
	t_6 = ((t_5 * t_5) - 1.0) / (t_5 + 1.0)
	t_7 = ((((((((-1.061405429 / t_3) - -1.453152027) / t_3) - 1.421413741) / t_3) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_4)
	t_8 = -1.061405429 / t_1
	t_9 = (((-0.284496736 - ((1.421413741 - ((t_8 - -1.453152027) / t_1)) / t_2)) / t_1) - -0.254829592) / (t_2 * t_4)
	return ((1.0 / (math.pow((t_4 * t_6), 3.0) / math.pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_8) / t_6)) / t_6)) / t_1) - -0.254829592), 3.0))) + math.pow(1.0, 3.0)) / ((t_7 * t_7) + ((1.0 - math.pow(t_9, 2.0)) / (1.0 + t_9)))
function code(x)
	t_0 = Float64(0.3275911 * abs(x))
	t_1 = Float64(t_0 - -1.0)
	t_2 = Float64(-1.0 - t_0)
	t_3 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	t_4 = exp(Float64(x * x))
	t_5 = Float64(abs(x) * -0.3275911)
	t_6 = Float64(Float64(Float64(t_5 * t_5) - 1.0) / Float64(t_5 + 1.0))
	t_7 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_3) - -1.453152027) / t_3) - 1.421413741) / t_3) - -0.284496736) / t_6) - -0.254829592) / Float64(t_6 * t_4))
	t_8 = Float64(-1.061405429 / t_1)
	t_9 = Float64(Float64(Float64(Float64(-0.284496736 - Float64(Float64(1.421413741 - Float64(Float64(t_8 - -1.453152027) / t_1)) / t_2)) / t_1) - -0.254829592) / Float64(t_2 * t_4))
	return Float64(Float64(Float64(1.0 / Float64((Float64(t_4 * t_6) ^ 3.0) / (Float64(Float64(Float64(-0.284496736 - Float64(Float64(1.421413741 - Float64(Float64(-1.453152027 - t_8) / t_6)) / t_6)) / t_1) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / Float64(Float64(t_7 * t_7) + Float64(Float64(1.0 - (t_9 ^ 2.0)) / Float64(1.0 + t_9))))
end
function tmp = code(x)
	t_0 = 0.3275911 * abs(x);
	t_1 = t_0 - -1.0;
	t_2 = -1.0 - t_0;
	t_3 = (abs(x) * 0.3275911) - -1.0;
	t_4 = exp((x * x));
	t_5 = abs(x) * -0.3275911;
	t_6 = ((t_5 * t_5) - 1.0) / (t_5 + 1.0);
	t_7 = ((((((((-1.061405429 / t_3) - -1.453152027) / t_3) - 1.421413741) / t_3) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_4);
	t_8 = -1.061405429 / t_1;
	t_9 = (((-0.284496736 - ((1.421413741 - ((t_8 - -1.453152027) / t_1)) / t_2)) / t_1) - -0.254829592) / (t_2 * t_4);
	tmp = ((1.0 / (((t_4 * t_6) ^ 3.0) / ((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_8) / t_6)) / t_6)) / t_1) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / ((t_7 * t_7) + ((1.0 - (t_9 ^ 2.0)) / (1.0 + t_9)));
end
code[x_] := Block[{t$95$0 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(t$95$0 - -1.0), $MachinePrecision]}, Block[{t$95$2 = N[(-1.0 - t$95$0), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, Block[{t$95$4 = N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]}, Block[{t$95$5 = N[(N[Abs[x], $MachinePrecision] * -0.3275911), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(t$95$5 * t$95$5), $MachinePrecision] - 1.0), $MachinePrecision] / N[(t$95$5 + 1.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$3), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$3), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$3), $MachinePrecision] - -0.284496736), $MachinePrecision] / t$95$6), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$6 * t$95$4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(-1.061405429 / t$95$1), $MachinePrecision]}, Block[{t$95$9 = N[(N[(N[(N[(-0.284496736 - N[(N[(1.421413741 - N[(N[(t$95$8 - -1.453152027), $MachinePrecision] / t$95$1), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision]), $MachinePrecision] / t$95$1), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$2 * t$95$4), $MachinePrecision]), $MachinePrecision]}, N[(N[(N[(1.0 / N[(N[Power[N[(t$95$4 * t$95$6), $MachinePrecision], 3.0], $MachinePrecision] / N[Power[N[(N[(N[(-0.284496736 - N[(N[(1.421413741 - N[(N[(-1.453152027 - t$95$8), $MachinePrecision] / t$95$6), $MachinePrecision]), $MachinePrecision] / t$95$6), $MachinePrecision]), $MachinePrecision] / t$95$1), $MachinePrecision] - -0.254829592), $MachinePrecision], 3.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[Power[1.0, 3.0], $MachinePrecision]), $MachinePrecision] / N[(N[(t$95$7 * t$95$7), $MachinePrecision] + N[(N[(1.0 - N[Power[t$95$9, 2.0], $MachinePrecision]), $MachinePrecision] / N[(1.0 + t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]
\begin{array}{l}
t_0 := 0.3275911 \cdot \left|x\right|\\
t_1 := t\_0 - -1\\
t_2 := -1 - t\_0\\
t_3 := \left|x\right| \cdot 0.3275911 - -1\\
t_4 := e^{x \cdot x}\\
t_5 := \left|x\right| \cdot -0.3275911\\
t_6 := \frac{t\_5 \cdot t\_5 - 1}{t\_5 + 1}\\
t_7 := \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_3} - -1.453152027}{t\_3} - 1.421413741}{t\_3} - -0.284496736}{t\_6} - -0.254829592}{t\_6 \cdot t\_4}\\
t_8 := \frac{-1.061405429}{t\_1}\\
t_9 := \frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{t\_8 - -1.453152027}{t\_1}}{t\_2}}{t\_1} - -0.254829592}{t\_2 \cdot t\_4}\\
\frac{\frac{1}{\frac{{\left(t\_4 \cdot t\_6\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - t\_8}{t\_6}}{t\_6}}{t\_1} - -0.254829592\right)}^{3}}} + {1}^{3}}{t\_7 \cdot t\_7 + \frac{1 - {t\_9}^{2}}{1 + t\_9}}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.3%

    \[\leadsto \color{blue}{\frac{{\left(\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}}\right)}^{3} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)}} \]
  3. Applied rewrites80.4%

    \[\leadsto \frac{\color{blue}{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  4. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  5. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  6. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  7. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  8. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  9. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  10. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  11. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  12. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  13. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  14. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  15. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  16. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  17. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  18. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  19. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  20. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  21. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  22. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \color{blue}{\frac{1 - {\left(\frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1}}{-1 - 0.3275911 \cdot \left|x\right|}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592}{\left(-1 - 0.3275911 \cdot \left|x\right|\right) \cdot e^{x \cdot x}}\right)}^{2}}{1 + \frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1}}{-1 - 0.3275911 \cdot \left|x\right|}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592}{\left(-1 - 0.3275911 \cdot \left|x\right|\right) \cdot e^{x \cdot x}}}}} \]
  23. Add Preprocessing

Alternative 2: 80.4% accurate, 0.2× speedup?

\[\begin{array}{l} t_0 := e^{x \cdot x}\\ t_1 := 0.3275911 \cdot \left|x\right|\\ t_2 := -1 - t\_1\\ t_3 := \left|x\right| \cdot -0.3275911\\ t_4 := t\_1 - -1\\ t_5 := \left|x\right| \cdot 0.3275911 - -1\\ t_6 := \frac{t\_3 \cdot t\_3 - 1}{t\_3 + 1}\\ t_7 := \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_5} - -1.453152027}{t\_5} - 1.421413741}{t\_5} - -0.284496736}{t\_6} - -0.254829592}{t\_6 \cdot t\_0}\\ \frac{\frac{1}{\frac{{\left(t\_0 \cdot t\_6\right)}^{3}}{{\left(\frac{\left(-0.284496736 \cdot t\_2 - \left(1.421413741 - \frac{\frac{-1.061405429}{t\_4} - -1.453152027}{t\_4}\right)\right) \cdot 1}{t\_2 \cdot t\_4} - -0.254829592\right)}^{3}}} + {1}^{3}}{t\_7 \cdot t\_7 + \left(1 \cdot 1 - t\_7 \cdot 1\right)} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (exp (* x x)))
       (t_1 (* 0.3275911 (fabs x)))
       (t_2 (- -1.0 t_1))
       (t_3 (* (fabs x) -0.3275911))
       (t_4 (- t_1 -1.0))
       (t_5 (- (* (fabs x) 0.3275911) -1.0))
       (t_6 (/ (- (* t_3 t_3) 1.0) (+ t_3 1.0)))
       (t_7
        (/
         (-
          (/
           (-
            (/
             (-
              (/ (- (/ -1.061405429 t_5) -1.453152027) t_5)
              1.421413741)
             t_5)
            -0.284496736)
           t_6)
          -0.254829592)
         (* t_6 t_0))))
  (/
   (+
    (/
     1.0
     (/
      (pow (* t_0 t_6) 3.0)
      (pow
       (-
        (/
         (*
          (-
           (* -0.284496736 t_2)
           (-
            1.421413741
            (/ (- (/ -1.061405429 t_4) -1.453152027) t_4)))
          1.0)
         (* t_2 t_4))
        -0.254829592)
       3.0)))
    (pow 1.0 3.0))
   (+ (* t_7 t_7) (- (* 1.0 1.0) (* t_7 1.0))))))
double code(double x) {
	double t_0 = exp((x * x));
	double t_1 = 0.3275911 * fabs(x);
	double t_2 = -1.0 - t_1;
	double t_3 = fabs(x) * -0.3275911;
	double t_4 = t_1 - -1.0;
	double t_5 = (fabs(x) * 0.3275911) - -1.0;
	double t_6 = ((t_3 * t_3) - 1.0) / (t_3 + 1.0);
	double t_7 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_0);
	return ((1.0 / (pow((t_0 * t_6), 3.0) / pow((((((-0.284496736 * t_2) - (1.421413741 - (((-1.061405429 / t_4) - -1.453152027) / t_4))) * 1.0) / (t_2 * t_4)) - -0.254829592), 3.0))) + pow(1.0, 3.0)) / ((t_7 * t_7) + ((1.0 * 1.0) - (t_7 * 1.0)));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    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
    t_0 = exp((x * x))
    t_1 = 0.3275911d0 * abs(x)
    t_2 = (-1.0d0) - t_1
    t_3 = abs(x) * (-0.3275911d0)
    t_4 = t_1 - (-1.0d0)
    t_5 = (abs(x) * 0.3275911d0) - (-1.0d0)
    t_6 = ((t_3 * t_3) - 1.0d0) / (t_3 + 1.0d0)
    t_7 = (((((((((-1.061405429d0) / t_5) - (-1.453152027d0)) / t_5) - 1.421413741d0) / t_5) - (-0.284496736d0)) / t_6) - (-0.254829592d0)) / (t_6 * t_0)
    code = ((1.0d0 / (((t_0 * t_6) ** 3.0d0) / (((((((-0.284496736d0) * t_2) - (1.421413741d0 - ((((-1.061405429d0) / t_4) - (-1.453152027d0)) / t_4))) * 1.0d0) / (t_2 * t_4)) - (-0.254829592d0)) ** 3.0d0))) + (1.0d0 ** 3.0d0)) / ((t_7 * t_7) + ((1.0d0 * 1.0d0) - (t_7 * 1.0d0)))
end function
public static double code(double x) {
	double t_0 = Math.exp((x * x));
	double t_1 = 0.3275911 * Math.abs(x);
	double t_2 = -1.0 - t_1;
	double t_3 = Math.abs(x) * -0.3275911;
	double t_4 = t_1 - -1.0;
	double t_5 = (Math.abs(x) * 0.3275911) - -1.0;
	double t_6 = ((t_3 * t_3) - 1.0) / (t_3 + 1.0);
	double t_7 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_0);
	return ((1.0 / (Math.pow((t_0 * t_6), 3.0) / Math.pow((((((-0.284496736 * t_2) - (1.421413741 - (((-1.061405429 / t_4) - -1.453152027) / t_4))) * 1.0) / (t_2 * t_4)) - -0.254829592), 3.0))) + Math.pow(1.0, 3.0)) / ((t_7 * t_7) + ((1.0 * 1.0) - (t_7 * 1.0)));
}
def code(x):
	t_0 = math.exp((x * x))
	t_1 = 0.3275911 * math.fabs(x)
	t_2 = -1.0 - t_1
	t_3 = math.fabs(x) * -0.3275911
	t_4 = t_1 - -1.0
	t_5 = (math.fabs(x) * 0.3275911) - -1.0
	t_6 = ((t_3 * t_3) - 1.0) / (t_3 + 1.0)
	t_7 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_0)
	return ((1.0 / (math.pow((t_0 * t_6), 3.0) / math.pow((((((-0.284496736 * t_2) - (1.421413741 - (((-1.061405429 / t_4) - -1.453152027) / t_4))) * 1.0) / (t_2 * t_4)) - -0.254829592), 3.0))) + math.pow(1.0, 3.0)) / ((t_7 * t_7) + ((1.0 * 1.0) - (t_7 * 1.0)))
function code(x)
	t_0 = exp(Float64(x * x))
	t_1 = Float64(0.3275911 * abs(x))
	t_2 = Float64(-1.0 - t_1)
	t_3 = Float64(abs(x) * -0.3275911)
	t_4 = Float64(t_1 - -1.0)
	t_5 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	t_6 = Float64(Float64(Float64(t_3 * t_3) - 1.0) / Float64(t_3 + 1.0))
	t_7 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_6) - -0.254829592) / Float64(t_6 * t_0))
	return Float64(Float64(Float64(1.0 / Float64((Float64(t_0 * t_6) ^ 3.0) / (Float64(Float64(Float64(Float64(Float64(-0.284496736 * t_2) - Float64(1.421413741 - Float64(Float64(Float64(-1.061405429 / t_4) - -1.453152027) / t_4))) * 1.0) / Float64(t_2 * t_4)) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / Float64(Float64(t_7 * t_7) + Float64(Float64(1.0 * 1.0) - Float64(t_7 * 1.0))))
end
function tmp = code(x)
	t_0 = exp((x * x));
	t_1 = 0.3275911 * abs(x);
	t_2 = -1.0 - t_1;
	t_3 = abs(x) * -0.3275911;
	t_4 = t_1 - -1.0;
	t_5 = (abs(x) * 0.3275911) - -1.0;
	t_6 = ((t_3 * t_3) - 1.0) / (t_3 + 1.0);
	t_7 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_6) - -0.254829592) / (t_6 * t_0);
	tmp = ((1.0 / (((t_0 * t_6) ^ 3.0) / ((((((-0.284496736 * t_2) - (1.421413741 - (((-1.061405429 / t_4) - -1.453152027) / t_4))) * 1.0) / (t_2 * t_4)) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / ((t_7 * t_7) + ((1.0 * 1.0) - (t_7 * 1.0)));
end
code[x_] := Block[{t$95$0 = N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(-1.0 - t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(N[Abs[x], $MachinePrecision] * -0.3275911), $MachinePrecision]}, Block[{t$95$4 = N[(t$95$1 - -1.0), $MachinePrecision]}, Block[{t$95$5 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(t$95$3 * t$95$3), $MachinePrecision] - 1.0), $MachinePrecision] / N[(t$95$3 + 1.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$5), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$5), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$5), $MachinePrecision] - -0.284496736), $MachinePrecision] / t$95$6), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$6 * t$95$0), $MachinePrecision]), $MachinePrecision]}, N[(N[(N[(1.0 / N[(N[Power[N[(t$95$0 * t$95$6), $MachinePrecision], 3.0], $MachinePrecision] / N[Power[N[(N[(N[(N[(N[(-0.284496736 * t$95$2), $MachinePrecision] - N[(1.421413741 - N[(N[(N[(-1.061405429 / t$95$4), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * 1.0), $MachinePrecision] / N[(t$95$2 * t$95$4), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision], 3.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[Power[1.0, 3.0], $MachinePrecision]), $MachinePrecision] / N[(N[(t$95$7 * t$95$7), $MachinePrecision] + N[(N[(1.0 * 1.0), $MachinePrecision] - N[(t$95$7 * 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]
\begin{array}{l}
t_0 := e^{x \cdot x}\\
t_1 := 0.3275911 \cdot \left|x\right|\\
t_2 := -1 - t\_1\\
t_3 := \left|x\right| \cdot -0.3275911\\
t_4 := t\_1 - -1\\
t_5 := \left|x\right| \cdot 0.3275911 - -1\\
t_6 := \frac{t\_3 \cdot t\_3 - 1}{t\_3 + 1}\\
t_7 := \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_5} - -1.453152027}{t\_5} - 1.421413741}{t\_5} - -0.284496736}{t\_6} - -0.254829592}{t\_6 \cdot t\_0}\\
\frac{\frac{1}{\frac{{\left(t\_0 \cdot t\_6\right)}^{3}}{{\left(\frac{\left(-0.284496736 \cdot t\_2 - \left(1.421413741 - \frac{\frac{-1.061405429}{t\_4} - -1.453152027}{t\_4}\right)\right) \cdot 1}{t\_2 \cdot t\_4} - -0.254829592\right)}^{3}}} + {1}^{3}}{t\_7 \cdot t\_7 + \left(1 \cdot 1 - t\_7 \cdot 1\right)}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.3%

    \[\leadsto \color{blue}{\frac{{\left(\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}}\right)}^{3} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)}} \]
  3. Applied rewrites80.4%

    \[\leadsto \frac{\color{blue}{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  4. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  5. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  6. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  7. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  8. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  9. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  10. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  11. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  12. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  13. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  14. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  15. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  16. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  17. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  18. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  19. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  20. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  21. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  22. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\color{blue}{\frac{\left(-0.284496736 \cdot \left(-1 - 0.3275911 \cdot \left|x\right|\right) - \left(1.421413741 - \frac{\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1}\right)\right) \cdot 1}{\left(-1 - 0.3275911 \cdot \left|x\right|\right) \cdot \left(0.3275911 \cdot \left|x\right| - -1\right)}} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  23. Add Preprocessing

Alternative 3: 80.4% accurate, 0.2× speedup?

\[\begin{array}{l} t_0 := e^{x \cdot x}\\ t_1 := 0.3275911 \cdot \left|x\right|\\ t_2 := t\_1 - -1\\ t_3 := -1 - t\_1\\ t_4 := \left|x\right| \cdot -0.3275911\\ t_5 := \frac{t\_4 \cdot t\_4 - 1}{t\_4 + 1}\\ t_6 := \frac{-1.061405429}{t\_2}\\ t_7 := \frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{t\_6 - -1.453152027}{t\_2}}{t\_3}}{t\_2} - -0.254829592}{t\_3 \cdot t\_0}\\ \frac{\frac{1}{\frac{{\left(t\_0 \cdot t\_5\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - t\_6}{t\_5}}{t\_5}}{t\_2} - -0.254829592\right)}^{3}}} + {1}^{3}}{\left({t\_7}^{2} + 1\right) - t\_7} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (exp (* x x)))
       (t_1 (* 0.3275911 (fabs x)))
       (t_2 (- t_1 -1.0))
       (t_3 (- -1.0 t_1))
       (t_4 (* (fabs x) -0.3275911))
       (t_5 (/ (- (* t_4 t_4) 1.0) (+ t_4 1.0)))
       (t_6 (/ -1.061405429 t_2))
       (t_7
        (/
         (-
          (/
           (-
            -0.284496736
            (/ (- 1.421413741 (/ (- t_6 -1.453152027) t_2)) t_3))
           t_2)
          -0.254829592)
         (* t_3 t_0))))
  (/
   (+
    (/
     1.0
     (/
      (pow (* t_0 t_5) 3.0)
      (pow
       (-
        (/
         (-
          -0.284496736
          (/ (- 1.421413741 (/ (- -1.453152027 t_6) t_5)) t_5))
         t_2)
        -0.254829592)
       3.0)))
    (pow 1.0 3.0))
   (- (+ (pow t_7 2.0) 1.0) t_7))))
double code(double x) {
	double t_0 = exp((x * x));
	double t_1 = 0.3275911 * fabs(x);
	double t_2 = t_1 - -1.0;
	double t_3 = -1.0 - t_1;
	double t_4 = fabs(x) * -0.3275911;
	double t_5 = ((t_4 * t_4) - 1.0) / (t_4 + 1.0);
	double t_6 = -1.061405429 / t_2;
	double t_7 = (((-0.284496736 - ((1.421413741 - ((t_6 - -1.453152027) / t_2)) / t_3)) / t_2) - -0.254829592) / (t_3 * t_0);
	return ((1.0 / (pow((t_0 * t_5), 3.0) / pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_6) / t_5)) / t_5)) / t_2) - -0.254829592), 3.0))) + pow(1.0, 3.0)) / ((pow(t_7, 2.0) + 1.0) - t_7);
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    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
    t_0 = exp((x * x))
    t_1 = 0.3275911d0 * abs(x)
    t_2 = t_1 - (-1.0d0)
    t_3 = (-1.0d0) - t_1
    t_4 = abs(x) * (-0.3275911d0)
    t_5 = ((t_4 * t_4) - 1.0d0) / (t_4 + 1.0d0)
    t_6 = (-1.061405429d0) / t_2
    t_7 = ((((-0.284496736d0) - ((1.421413741d0 - ((t_6 - (-1.453152027d0)) / t_2)) / t_3)) / t_2) - (-0.254829592d0)) / (t_3 * t_0)
    code = ((1.0d0 / (((t_0 * t_5) ** 3.0d0) / (((((-0.284496736d0) - ((1.421413741d0 - (((-1.453152027d0) - t_6) / t_5)) / t_5)) / t_2) - (-0.254829592d0)) ** 3.0d0))) + (1.0d0 ** 3.0d0)) / (((t_7 ** 2.0d0) + 1.0d0) - t_7)
end function
public static double code(double x) {
	double t_0 = Math.exp((x * x));
	double t_1 = 0.3275911 * Math.abs(x);
	double t_2 = t_1 - -1.0;
	double t_3 = -1.0 - t_1;
	double t_4 = Math.abs(x) * -0.3275911;
	double t_5 = ((t_4 * t_4) - 1.0) / (t_4 + 1.0);
	double t_6 = -1.061405429 / t_2;
	double t_7 = (((-0.284496736 - ((1.421413741 - ((t_6 - -1.453152027) / t_2)) / t_3)) / t_2) - -0.254829592) / (t_3 * t_0);
	return ((1.0 / (Math.pow((t_0 * t_5), 3.0) / Math.pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_6) / t_5)) / t_5)) / t_2) - -0.254829592), 3.0))) + Math.pow(1.0, 3.0)) / ((Math.pow(t_7, 2.0) + 1.0) - t_7);
}
def code(x):
	t_0 = math.exp((x * x))
	t_1 = 0.3275911 * math.fabs(x)
	t_2 = t_1 - -1.0
	t_3 = -1.0 - t_1
	t_4 = math.fabs(x) * -0.3275911
	t_5 = ((t_4 * t_4) - 1.0) / (t_4 + 1.0)
	t_6 = -1.061405429 / t_2
	t_7 = (((-0.284496736 - ((1.421413741 - ((t_6 - -1.453152027) / t_2)) / t_3)) / t_2) - -0.254829592) / (t_3 * t_0)
	return ((1.0 / (math.pow((t_0 * t_5), 3.0) / math.pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_6) / t_5)) / t_5)) / t_2) - -0.254829592), 3.0))) + math.pow(1.0, 3.0)) / ((math.pow(t_7, 2.0) + 1.0) - t_7)
function code(x)
	t_0 = exp(Float64(x * x))
	t_1 = Float64(0.3275911 * abs(x))
	t_2 = Float64(t_1 - -1.0)
	t_3 = Float64(-1.0 - t_1)
	t_4 = Float64(abs(x) * -0.3275911)
	t_5 = Float64(Float64(Float64(t_4 * t_4) - 1.0) / Float64(t_4 + 1.0))
	t_6 = Float64(-1.061405429 / t_2)
	t_7 = Float64(Float64(Float64(Float64(-0.284496736 - Float64(Float64(1.421413741 - Float64(Float64(t_6 - -1.453152027) / t_2)) / t_3)) / t_2) - -0.254829592) / Float64(t_3 * t_0))
	return Float64(Float64(Float64(1.0 / Float64((Float64(t_0 * t_5) ^ 3.0) / (Float64(Float64(Float64(-0.284496736 - Float64(Float64(1.421413741 - Float64(Float64(-1.453152027 - t_6) / t_5)) / t_5)) / t_2) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / Float64(Float64((t_7 ^ 2.0) + 1.0) - t_7))
end
function tmp = code(x)
	t_0 = exp((x * x));
	t_1 = 0.3275911 * abs(x);
	t_2 = t_1 - -1.0;
	t_3 = -1.0 - t_1;
	t_4 = abs(x) * -0.3275911;
	t_5 = ((t_4 * t_4) - 1.0) / (t_4 + 1.0);
	t_6 = -1.061405429 / t_2;
	t_7 = (((-0.284496736 - ((1.421413741 - ((t_6 - -1.453152027) / t_2)) / t_3)) / t_2) - -0.254829592) / (t_3 * t_0);
	tmp = ((1.0 / (((t_0 * t_5) ^ 3.0) / ((((-0.284496736 - ((1.421413741 - ((-1.453152027 - t_6) / t_5)) / t_5)) / t_2) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / (((t_7 ^ 2.0) + 1.0) - t_7);
end
code[x_] := Block[{t$95$0 = N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]}, Block[{t$95$1 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t$95$1 - -1.0), $MachinePrecision]}, Block[{t$95$3 = N[(-1.0 - t$95$1), $MachinePrecision]}, Block[{t$95$4 = N[(N[Abs[x], $MachinePrecision] * -0.3275911), $MachinePrecision]}, Block[{t$95$5 = N[(N[(N[(t$95$4 * t$95$4), $MachinePrecision] - 1.0), $MachinePrecision] / N[(t$95$4 + 1.0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(-1.061405429 / t$95$2), $MachinePrecision]}, Block[{t$95$7 = N[(N[(N[(N[(-0.284496736 - N[(N[(1.421413741 - N[(N[(t$95$6 - -1.453152027), $MachinePrecision] / t$95$2), $MachinePrecision]), $MachinePrecision] / t$95$3), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$3 * t$95$0), $MachinePrecision]), $MachinePrecision]}, N[(N[(N[(1.0 / N[(N[Power[N[(t$95$0 * t$95$5), $MachinePrecision], 3.0], $MachinePrecision] / N[Power[N[(N[(N[(-0.284496736 - N[(N[(1.421413741 - N[(N[(-1.453152027 - t$95$6), $MachinePrecision] / t$95$5), $MachinePrecision]), $MachinePrecision] / t$95$5), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision] - -0.254829592), $MachinePrecision], 3.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[Power[1.0, 3.0], $MachinePrecision]), $MachinePrecision] / N[(N[(N[Power[t$95$7, 2.0], $MachinePrecision] + 1.0), $MachinePrecision] - t$95$7), $MachinePrecision]), $MachinePrecision]]]]]]]]]
\begin{array}{l}
t_0 := e^{x \cdot x}\\
t_1 := 0.3275911 \cdot \left|x\right|\\
t_2 := t\_1 - -1\\
t_3 := -1 - t\_1\\
t_4 := \left|x\right| \cdot -0.3275911\\
t_5 := \frac{t\_4 \cdot t\_4 - 1}{t\_4 + 1}\\
t_6 := \frac{-1.061405429}{t\_2}\\
t_7 := \frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{t\_6 - -1.453152027}{t\_2}}{t\_3}}{t\_2} - -0.254829592}{t\_3 \cdot t\_0}\\
\frac{\frac{1}{\frac{{\left(t\_0 \cdot t\_5\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - t\_6}{t\_5}}{t\_5}}{t\_2} - -0.254829592\right)}^{3}}} + {1}^{3}}{\left({t\_7}^{2} + 1\right) - t\_7}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.3%

    \[\leadsto \color{blue}{\frac{{\left(\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}}\right)}^{3} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)}} \]
  3. Applied rewrites80.4%

    \[\leadsto \frac{\color{blue}{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  4. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  5. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  6. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  7. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  8. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  9. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  10. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  11. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  12. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  13. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  14. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  15. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  16. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  17. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  18. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  19. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  20. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. flip--N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-unsound-/.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-unsound--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    10. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    11. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    12. lower-unsound-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    13. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    14. metadata-evalN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    15. lower-unsound-+.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    16. lift-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    17. *-commutativeN/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\left|x\right| \cdot \frac{-3275911}{10000000} + 1}} - \frac{-31853699}{125000000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
    18. lower-*.f6480.4%

      \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  21. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1} \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} - -0.254829592}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}} \cdot e^{x \cdot x}} \cdot 1\right)} \]
  22. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\color{blue}{\left({\left(\frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1}}{-1 - 0.3275911 \cdot \left|x\right|}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592}{\left(-1 - 0.3275911 \cdot \left|x\right|\right) \cdot e^{x \cdot x}}\right)}^{2} + 1\right) - \frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1}}{-1 - 0.3275911 \cdot \left|x\right|}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592}{\left(-1 - 0.3275911 \cdot \left|x\right|\right) \cdot e^{x \cdot x}}}} \]
  23. Add Preprocessing

Alternative 4: 80.4% accurate, 0.2× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot -0.3275911 - 1\\ t_1 := e^{x \cdot x}\\ t_2 := -0.3275911 \cdot \left|x\right| - 1\\ t_3 := 0.3275911 \cdot \left|x\right|\\ t_4 := t\_3 - -1\\ t_5 := \frac{\frac{\frac{\frac{\frac{1.061405429}{t\_0} - -1.453152027}{t\_4} - 1.421413741}{t\_4} - -0.284496736}{-1 - t\_3} - -0.254829592}{t\_0 \cdot t\_1}\\ \frac{\frac{1}{\frac{{\left(t\_1 \cdot t\_2\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{t\_4}}{t\_2}}{t\_2}}{t\_4} - -0.254829592\right)}^{3}}} + {1}^{3}}{\left({t\_5}^{2} + 1\right) - t\_5} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* (fabs x) -0.3275911) 1.0))
       (t_1 (exp (* x x)))
       (t_2 (- (* -0.3275911 (fabs x)) 1.0))
       (t_3 (* 0.3275911 (fabs x)))
       (t_4 (- t_3 -1.0))
       (t_5
        (/
         (-
          (/
           (-
            (/
             (-
              (/ (- (/ 1.061405429 t_0) -1.453152027) t_4)
              1.421413741)
             t_4)
            -0.284496736)
           (- -1.0 t_3))
          -0.254829592)
         (* t_0 t_1))))
  (/
   (+
    (/
     1.0
     (/
      (pow (* t_1 t_2) 3.0)
      (pow
       (-
        (/
         (-
          -0.284496736
          (/
           (-
            1.421413741
            (/ (- -1.453152027 (/ -1.061405429 t_4)) t_2))
           t_2))
         t_4)
        -0.254829592)
       3.0)))
    (pow 1.0 3.0))
   (- (+ (pow t_5 2.0) 1.0) t_5))))
double code(double x) {
	double t_0 = (fabs(x) * -0.3275911) - 1.0;
	double t_1 = exp((x * x));
	double t_2 = (-0.3275911 * fabs(x)) - 1.0;
	double t_3 = 0.3275911 * fabs(x);
	double t_4 = t_3 - -1.0;
	double t_5 = ((((((((1.061405429 / t_0) - -1.453152027) / t_4) - 1.421413741) / t_4) - -0.284496736) / (-1.0 - t_3)) - -0.254829592) / (t_0 * t_1);
	return ((1.0 / (pow((t_1 * t_2), 3.0) / pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - (-1.061405429 / t_4)) / t_2)) / t_2)) / t_4) - -0.254829592), 3.0))) + pow(1.0, 3.0)) / ((pow(t_5, 2.0) + 1.0) - t_5);
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    t_0 = (abs(x) * (-0.3275911d0)) - 1.0d0
    t_1 = exp((x * x))
    t_2 = ((-0.3275911d0) * abs(x)) - 1.0d0
    t_3 = 0.3275911d0 * abs(x)
    t_4 = t_3 - (-1.0d0)
    t_5 = ((((((((1.061405429d0 / t_0) - (-1.453152027d0)) / t_4) - 1.421413741d0) / t_4) - (-0.284496736d0)) / ((-1.0d0) - t_3)) - (-0.254829592d0)) / (t_0 * t_1)
    code = ((1.0d0 / (((t_1 * t_2) ** 3.0d0) / (((((-0.284496736d0) - ((1.421413741d0 - (((-1.453152027d0) - ((-1.061405429d0) / t_4)) / t_2)) / t_2)) / t_4) - (-0.254829592d0)) ** 3.0d0))) + (1.0d0 ** 3.0d0)) / (((t_5 ** 2.0d0) + 1.0d0) - t_5)
end function
public static double code(double x) {
	double t_0 = (Math.abs(x) * -0.3275911) - 1.0;
	double t_1 = Math.exp((x * x));
	double t_2 = (-0.3275911 * Math.abs(x)) - 1.0;
	double t_3 = 0.3275911 * Math.abs(x);
	double t_4 = t_3 - -1.0;
	double t_5 = ((((((((1.061405429 / t_0) - -1.453152027) / t_4) - 1.421413741) / t_4) - -0.284496736) / (-1.0 - t_3)) - -0.254829592) / (t_0 * t_1);
	return ((1.0 / (Math.pow((t_1 * t_2), 3.0) / Math.pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - (-1.061405429 / t_4)) / t_2)) / t_2)) / t_4) - -0.254829592), 3.0))) + Math.pow(1.0, 3.0)) / ((Math.pow(t_5, 2.0) + 1.0) - t_5);
}
def code(x):
	t_0 = (math.fabs(x) * -0.3275911) - 1.0
	t_1 = math.exp((x * x))
	t_2 = (-0.3275911 * math.fabs(x)) - 1.0
	t_3 = 0.3275911 * math.fabs(x)
	t_4 = t_3 - -1.0
	t_5 = ((((((((1.061405429 / t_0) - -1.453152027) / t_4) - 1.421413741) / t_4) - -0.284496736) / (-1.0 - t_3)) - -0.254829592) / (t_0 * t_1)
	return ((1.0 / (math.pow((t_1 * t_2), 3.0) / math.pow((((-0.284496736 - ((1.421413741 - ((-1.453152027 - (-1.061405429 / t_4)) / t_2)) / t_2)) / t_4) - -0.254829592), 3.0))) + math.pow(1.0, 3.0)) / ((math.pow(t_5, 2.0) + 1.0) - t_5)
function code(x)
	t_0 = Float64(Float64(abs(x) * -0.3275911) - 1.0)
	t_1 = exp(Float64(x * x))
	t_2 = Float64(Float64(-0.3275911 * abs(x)) - 1.0)
	t_3 = Float64(0.3275911 * abs(x))
	t_4 = Float64(t_3 - -1.0)
	t_5 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(1.061405429 / t_0) - -1.453152027) / t_4) - 1.421413741) / t_4) - -0.284496736) / Float64(-1.0 - t_3)) - -0.254829592) / Float64(t_0 * t_1))
	return Float64(Float64(Float64(1.0 / Float64((Float64(t_1 * t_2) ^ 3.0) / (Float64(Float64(Float64(-0.284496736 - Float64(Float64(1.421413741 - Float64(Float64(-1.453152027 - Float64(-1.061405429 / t_4)) / t_2)) / t_2)) / t_4) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / Float64(Float64((t_5 ^ 2.0) + 1.0) - t_5))
end
function tmp = code(x)
	t_0 = (abs(x) * -0.3275911) - 1.0;
	t_1 = exp((x * x));
	t_2 = (-0.3275911 * abs(x)) - 1.0;
	t_3 = 0.3275911 * abs(x);
	t_4 = t_3 - -1.0;
	t_5 = ((((((((1.061405429 / t_0) - -1.453152027) / t_4) - 1.421413741) / t_4) - -0.284496736) / (-1.0 - t_3)) - -0.254829592) / (t_0 * t_1);
	tmp = ((1.0 / (((t_1 * t_2) ^ 3.0) / ((((-0.284496736 - ((1.421413741 - ((-1.453152027 - (-1.061405429 / t_4)) / t_2)) / t_2)) / t_4) - -0.254829592) ^ 3.0))) + (1.0 ^ 3.0)) / (((t_5 ^ 2.0) + 1.0) - t_5);
end
code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * -0.3275911), $MachinePrecision] - 1.0), $MachinePrecision]}, Block[{t$95$1 = N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]}, Block[{t$95$2 = N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]}, Block[{t$95$3 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t$95$3 - -1.0), $MachinePrecision]}, Block[{t$95$5 = N[(N[(N[(N[(N[(N[(N[(N[(N[(1.061405429 / t$95$0), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$4), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$4), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(-1.0 - t$95$3), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$0 * t$95$1), $MachinePrecision]), $MachinePrecision]}, N[(N[(N[(1.0 / N[(N[Power[N[(t$95$1 * t$95$2), $MachinePrecision], 3.0], $MachinePrecision] / N[Power[N[(N[(N[(-0.284496736 - N[(N[(1.421413741 - N[(N[(-1.453152027 - N[(-1.061405429 / t$95$4), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision]), $MachinePrecision] / t$95$4), $MachinePrecision] - -0.254829592), $MachinePrecision], 3.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[Power[1.0, 3.0], $MachinePrecision]), $MachinePrecision] / N[(N[(N[Power[t$95$5, 2.0], $MachinePrecision] + 1.0), $MachinePrecision] - t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]
\begin{array}{l}
t_0 := \left|x\right| \cdot -0.3275911 - 1\\
t_1 := e^{x \cdot x}\\
t_2 := -0.3275911 \cdot \left|x\right| - 1\\
t_3 := 0.3275911 \cdot \left|x\right|\\
t_4 := t\_3 - -1\\
t_5 := \frac{\frac{\frac{\frac{\frac{1.061405429}{t\_0} - -1.453152027}{t\_4} - 1.421413741}{t\_4} - -0.284496736}{-1 - t\_3} - -0.254829592}{t\_0 \cdot t\_1}\\
\frac{\frac{1}{\frac{{\left(t\_1 \cdot t\_2\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{t\_4}}{t\_2}}{t\_2}}{t\_4} - -0.254829592\right)}^{3}}} + {1}^{3}}{\left({t\_5}^{2} + 1\right) - t\_5}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.3%

    \[\leadsto \color{blue}{\frac{{\left(\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}}\right)}^{3} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)}} \]
  3. Applied rewrites80.4%

    \[\leadsto \frac{\color{blue}{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  4. Applied rewrites80.4%

    \[\leadsto \frac{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\color{blue}{\left({\left(\frac{\frac{\frac{\frac{\frac{1.061405429}{\left|x\right| \cdot -0.3275911 - 1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1} - 1.421413741}{0.3275911 \cdot \left|x\right| - -1} - -0.284496736}{-1 - 0.3275911 \cdot \left|x\right|} - -0.254829592}{\left(\left|x\right| \cdot -0.3275911 - 1\right) \cdot e^{x \cdot x}}\right)}^{2} + 1\right) - \frac{\frac{\frac{\frac{\frac{1.061405429}{\left|x\right| \cdot -0.3275911 - 1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1} - 1.421413741}{0.3275911 \cdot \left|x\right| - -1} - -0.284496736}{-1 - 0.3275911 \cdot \left|x\right|} - -0.254829592}{\left(\left|x\right| \cdot -0.3275911 - 1\right) \cdot e^{x \cdot x}}}} \]
  5. Add Preprocessing

Alternative 5: 80.0% accurate, 0.2× speedup?

\[\begin{array}{l} t_0 := -0.3275911 \cdot \left|x\right|\\ t_1 := t\_0 - 1\\ t_2 := 0.3275911 \cdot \left|x\right|\\ t_3 := t\_2 - -1\\ t_4 := -1 - t\_2\\ t_5 := \left|x\right| \cdot 0.3275911 - -1\\ t_6 := \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_5} - -1.453152027}{t\_5} - 1.421413741}{t\_5} - -0.284496736}{t\_1} - -0.254829592}{t\_1 \cdot e^{x \cdot x}}\\ \frac{\frac{1}{\frac{1}{{\left(\frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{t\_3} - -1.453152027}{t\_3}}{t\_4}}{t\_3} - -0.254829592}{\left(t\_4 \cdot \left(x \cdot x\right) + t\_0\right) - 1}\right)}^{3}}} + {1}^{3}}{t\_6 \cdot t\_6 + \left(1 \cdot 1 - t\_6 \cdot 1\right)} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (* -0.3275911 (fabs x)))
       (t_1 (- t_0 1.0))
       (t_2 (* 0.3275911 (fabs x)))
       (t_3 (- t_2 -1.0))
       (t_4 (- -1.0 t_2))
       (t_5 (- (* (fabs x) 0.3275911) -1.0))
       (t_6
        (/
         (-
          (/
           (-
            (/
             (-
              (/ (- (/ -1.061405429 t_5) -1.453152027) t_5)
              1.421413741)
             t_5)
            -0.284496736)
           t_1)
          -0.254829592)
         (* t_1 (exp (* x x))))))
  (/
   (+
    (/
     1.0
     (/
      1.0
      (pow
       (/
        (-
         (/
          (-
           -0.284496736
           (/
            (-
             1.421413741
             (/ (- (/ -1.061405429 t_3) -1.453152027) t_3))
            t_4))
          t_3)
         -0.254829592)
        (- (+ (* t_4 (* x x)) t_0) 1.0))
       3.0)))
    (pow 1.0 3.0))
   (+ (* t_6 t_6) (- (* 1.0 1.0) (* t_6 1.0))))))
double code(double x) {
	double t_0 = -0.3275911 * fabs(x);
	double t_1 = t_0 - 1.0;
	double t_2 = 0.3275911 * fabs(x);
	double t_3 = t_2 - -1.0;
	double t_4 = -1.0 - t_2;
	double t_5 = (fabs(x) * 0.3275911) - -1.0;
	double t_6 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_1) - -0.254829592) / (t_1 * exp((x * x)));
	return ((1.0 / (1.0 / pow(((((-0.284496736 - ((1.421413741 - (((-1.061405429 / t_3) - -1.453152027) / t_3)) / t_4)) / t_3) - -0.254829592) / (((t_4 * (x * x)) + t_0) - 1.0)), 3.0))) + pow(1.0, 3.0)) / ((t_6 * t_6) + ((1.0 * 1.0) - (t_6 * 1.0)));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    t_0 = (-0.3275911d0) * abs(x)
    t_1 = t_0 - 1.0d0
    t_2 = 0.3275911d0 * abs(x)
    t_3 = t_2 - (-1.0d0)
    t_4 = (-1.0d0) - t_2
    t_5 = (abs(x) * 0.3275911d0) - (-1.0d0)
    t_6 = (((((((((-1.061405429d0) / t_5) - (-1.453152027d0)) / t_5) - 1.421413741d0) / t_5) - (-0.284496736d0)) / t_1) - (-0.254829592d0)) / (t_1 * exp((x * x)))
    code = ((1.0d0 / (1.0d0 / ((((((-0.284496736d0) - ((1.421413741d0 - ((((-1.061405429d0) / t_3) - (-1.453152027d0)) / t_3)) / t_4)) / t_3) - (-0.254829592d0)) / (((t_4 * (x * x)) + t_0) - 1.0d0)) ** 3.0d0))) + (1.0d0 ** 3.0d0)) / ((t_6 * t_6) + ((1.0d0 * 1.0d0) - (t_6 * 1.0d0)))
end function
public static double code(double x) {
	double t_0 = -0.3275911 * Math.abs(x);
	double t_1 = t_0 - 1.0;
	double t_2 = 0.3275911 * Math.abs(x);
	double t_3 = t_2 - -1.0;
	double t_4 = -1.0 - t_2;
	double t_5 = (Math.abs(x) * 0.3275911) - -1.0;
	double t_6 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_1) - -0.254829592) / (t_1 * Math.exp((x * x)));
	return ((1.0 / (1.0 / Math.pow(((((-0.284496736 - ((1.421413741 - (((-1.061405429 / t_3) - -1.453152027) / t_3)) / t_4)) / t_3) - -0.254829592) / (((t_4 * (x * x)) + t_0) - 1.0)), 3.0))) + Math.pow(1.0, 3.0)) / ((t_6 * t_6) + ((1.0 * 1.0) - (t_6 * 1.0)));
}
def code(x):
	t_0 = -0.3275911 * math.fabs(x)
	t_1 = t_0 - 1.0
	t_2 = 0.3275911 * math.fabs(x)
	t_3 = t_2 - -1.0
	t_4 = -1.0 - t_2
	t_5 = (math.fabs(x) * 0.3275911) - -1.0
	t_6 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_1) - -0.254829592) / (t_1 * math.exp((x * x)))
	return ((1.0 / (1.0 / math.pow(((((-0.284496736 - ((1.421413741 - (((-1.061405429 / t_3) - -1.453152027) / t_3)) / t_4)) / t_3) - -0.254829592) / (((t_4 * (x * x)) + t_0) - 1.0)), 3.0))) + math.pow(1.0, 3.0)) / ((t_6 * t_6) + ((1.0 * 1.0) - (t_6 * 1.0)))
function code(x)
	t_0 = Float64(-0.3275911 * abs(x))
	t_1 = Float64(t_0 - 1.0)
	t_2 = Float64(0.3275911 * abs(x))
	t_3 = Float64(t_2 - -1.0)
	t_4 = Float64(-1.0 - t_2)
	t_5 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	t_6 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_1) - -0.254829592) / Float64(t_1 * exp(Float64(x * x))))
	return Float64(Float64(Float64(1.0 / Float64(1.0 / (Float64(Float64(Float64(Float64(-0.284496736 - Float64(Float64(1.421413741 - Float64(Float64(Float64(-1.061405429 / t_3) - -1.453152027) / t_3)) / t_4)) / t_3) - -0.254829592) / Float64(Float64(Float64(t_4 * Float64(x * x)) + t_0) - 1.0)) ^ 3.0))) + (1.0 ^ 3.0)) / Float64(Float64(t_6 * t_6) + Float64(Float64(1.0 * 1.0) - Float64(t_6 * 1.0))))
end
function tmp = code(x)
	t_0 = -0.3275911 * abs(x);
	t_1 = t_0 - 1.0;
	t_2 = 0.3275911 * abs(x);
	t_3 = t_2 - -1.0;
	t_4 = -1.0 - t_2;
	t_5 = (abs(x) * 0.3275911) - -1.0;
	t_6 = ((((((((-1.061405429 / t_5) - -1.453152027) / t_5) - 1.421413741) / t_5) - -0.284496736) / t_1) - -0.254829592) / (t_1 * exp((x * x)));
	tmp = ((1.0 / (1.0 / (((((-0.284496736 - ((1.421413741 - (((-1.061405429 / t_3) - -1.453152027) / t_3)) / t_4)) / t_3) - -0.254829592) / (((t_4 * (x * x)) + t_0) - 1.0)) ^ 3.0))) + (1.0 ^ 3.0)) / ((t_6 * t_6) + ((1.0 * 1.0) - (t_6 * 1.0)));
end
code[x_] := Block[{t$95$0 = N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(t$95$0 - 1.0), $MachinePrecision]}, Block[{t$95$2 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t$95$2 - -1.0), $MachinePrecision]}, Block[{t$95$4 = N[(-1.0 - t$95$2), $MachinePrecision]}, Block[{t$95$5 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$5), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$5), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$5), $MachinePrecision] - -0.284496736), $MachinePrecision] / t$95$1), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$1 * N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, N[(N[(N[(1.0 / N[(1.0 / N[Power[N[(N[(N[(N[(-0.284496736 - N[(N[(1.421413741 - N[(N[(N[(-1.061405429 / t$95$3), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$3), $MachinePrecision]), $MachinePrecision] / t$95$4), $MachinePrecision]), $MachinePrecision] / t$95$3), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(N[(N[(t$95$4 * N[(x * x), $MachinePrecision]), $MachinePrecision] + t$95$0), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision], 3.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[Power[1.0, 3.0], $MachinePrecision]), $MachinePrecision] / N[(N[(t$95$6 * t$95$6), $MachinePrecision] + N[(N[(1.0 * 1.0), $MachinePrecision] - N[(t$95$6 * 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]
\begin{array}{l}
t_0 := -0.3275911 \cdot \left|x\right|\\
t_1 := t\_0 - 1\\
t_2 := 0.3275911 \cdot \left|x\right|\\
t_3 := t\_2 - -1\\
t_4 := -1 - t\_2\\
t_5 := \left|x\right| \cdot 0.3275911 - -1\\
t_6 := \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_5} - -1.453152027}{t\_5} - 1.421413741}{t\_5} - -0.284496736}{t\_1} - -0.254829592}{t\_1 \cdot e^{x \cdot x}}\\
\frac{\frac{1}{\frac{1}{{\left(\frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{t\_3} - -1.453152027}{t\_3}}{t\_4}}{t\_3} - -0.254829592}{\left(t\_4 \cdot \left(x \cdot x\right) + t\_0\right) - 1}\right)}^{3}}} + {1}^{3}}{t\_6 \cdot t\_6 + \left(1 \cdot 1 - t\_6 \cdot 1\right)}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.3%

    \[\leadsto \color{blue}{\frac{{\left(\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}}\right)}^{3} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)}} \]
  3. Applied rewrites80.4%

    \[\leadsto \frac{\color{blue}{\frac{1}{\frac{{\left(e^{x \cdot x} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  4. Taylor expanded in x around 0

    \[\leadsto \frac{\frac{1}{\frac{{\color{blue}{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  5. Step-by-step derivation
    1. lower--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - \color{blue}{1}\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    2. lower-+.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    3. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    4. lower-fabs.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    5. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    6. lower-pow.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    7. lower--.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    8. lower-*.f64N/A

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(\frac{-3275911}{10000000} \cdot \left|x\right| + {x}^{2} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{\frac{-8890523}{31250000} - \frac{\frac{1421413741}{1000000000} - \frac{\frac{-1453152027}{1000000000} - \frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-31853699}{125000000}\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\frac{-3275911}{10000000} \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
    9. lower-fabs.f6480.0%

      \[\leadsto \frac{\frac{1}{\frac{{\left(\left(-0.3275911 \cdot \left|x\right| + {x}^{2} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right) - 1\right)}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  6. Applied rewrites80.0%

    \[\leadsto \frac{\frac{1}{\frac{{\color{blue}{\left(\left(-0.3275911 \cdot \left|x\right| + {x}^{2} \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)\right) - 1\right)}}^{3}}{{\left(\frac{-0.284496736 - \frac{1.421413741 - \frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1}}{-0.3275911 \cdot \left|x\right| - 1}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592\right)}^{3}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  7. Applied rewrites80.0%

    \[\leadsto \frac{\frac{1}{\color{blue}{\frac{1}{{\left(\frac{\frac{-0.284496736 - \frac{1.421413741 - \frac{\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1}}{-1 - 0.3275911 \cdot \left|x\right|}}{0.3275911 \cdot \left|x\right| - -1} - -0.254829592}{\left(\left(-1 - 0.3275911 \cdot \left|x\right|\right) \cdot \left(x \cdot x\right) + -0.3275911 \cdot \left|x\right|\right) - 1}\right)}^{3}}}} + {1}^{3}}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} + \left(1 \cdot 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot e^{x \cdot x}} \cdot 1\right)} \]
  8. Add Preprocessing

Alternative 6: 79.2% accurate, 0.9× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot 0.3275911 - -1\\ t_1 := \frac{\left(x \cdot x\right) \cdot 0.10731592879921 - 1}{0.3275911 \cdot \left|x\right| - 1}\\ 1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{t\_1} - -1.453152027\right) \cdot \frac{1}{t\_1} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot e^{x \cdot x}} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* (fabs x) 0.3275911) -1.0))
       (t_1
        (/
         (- (* (* x x) 0.10731592879921) 1.0)
         (- (* 0.3275911 (fabs x)) 1.0))))
  (-
   1.0
   (/
    (-
     (/
      (-
       (/
        (-
         (* (- (/ -1.061405429 t_1) -1.453152027) (/ 1.0 t_1))
         1.421413741)
        t_0)
       -0.284496736)
      (- (* -0.3275911 (fabs x)) 1.0))
     -0.254829592)
    (* t_0 (exp (* x x)))))))
double code(double x) {
	double t_0 = (fabs(x) * 0.3275911) - -1.0;
	double t_1 = (((x * x) * 0.10731592879921) - 1.0) / ((0.3275911 * fabs(x)) - 1.0);
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * fabs(x)) - 1.0)) - -0.254829592) / (t_0 * exp((x * x))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    t_0 = (abs(x) * 0.3275911d0) - (-1.0d0)
    t_1 = (((x * x) * 0.10731592879921d0) - 1.0d0) / ((0.3275911d0 * abs(x)) - 1.0d0)
    code = 1.0d0 - ((((((((((-1.061405429d0) / t_1) - (-1.453152027d0)) * (1.0d0 / t_1)) - 1.421413741d0) / t_0) - (-0.284496736d0)) / (((-0.3275911d0) * abs(x)) - 1.0d0)) - (-0.254829592d0)) / (t_0 * exp((x * x))))
end function
public static double code(double x) {
	double t_0 = (Math.abs(x) * 0.3275911) - -1.0;
	double t_1 = (((x * x) * 0.10731592879921) - 1.0) / ((0.3275911 * Math.abs(x)) - 1.0);
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * Math.abs(x)) - 1.0)) - -0.254829592) / (t_0 * Math.exp((x * x))));
}
def code(x):
	t_0 = (math.fabs(x) * 0.3275911) - -1.0
	t_1 = (((x * x) * 0.10731592879921) - 1.0) / ((0.3275911 * math.fabs(x)) - 1.0)
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * math.fabs(x)) - 1.0)) - -0.254829592) / (t_0 * math.exp((x * x))))
function code(x)
	t_0 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	t_1 = Float64(Float64(Float64(Float64(x * x) * 0.10731592879921) - 1.0) / Float64(Float64(0.3275911 * abs(x)) - 1.0))
	return Float64(1.0 - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_1) - -1.453152027) * Float64(1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / Float64(Float64(-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / Float64(t_0 * exp(Float64(x * x)))))
end
function tmp = code(x)
	t_0 = (abs(x) * 0.3275911) - -1.0;
	t_1 = (((x * x) * 0.10731592879921) - 1.0) / ((0.3275911 * abs(x)) - 1.0);
	tmp = 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / (t_0 * exp((x * x))));
end
code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, Block[{t$95$1 = N[(N[(N[(N[(x * x), $MachinePrecision] * 0.10731592879921), $MachinePrecision] - 1.0), $MachinePrecision] / N[(N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision]}, N[(1.0 - N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$1), $MachinePrecision] - -1.453152027), $MachinePrecision] * N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$0), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$0 * N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}
t_0 := \left|x\right| \cdot 0.3275911 - -1\\
t_1 := \frac{\left(x \cdot x\right) \cdot 0.10731592879921 - 1}{0.3275911 \cdot \left|x\right| - 1}\\
1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{t\_1} - -1.453152027\right) \cdot \frac{1}{t\_1} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot e^{x \cdot x}}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
  3. Step-by-step derivation
    1. lift-/.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    2. mult-flipN/A

      \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    3. lift-/.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \color{blue}{\frac{1}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    4. lift--.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    5. sub-flipN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\left|x\right| \cdot \frac{3275911}{10000000} + \left(\mathsf{neg}\left(-1\right)\right)}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    6. metadata-evalN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\left|x\right| \cdot \frac{3275911}{10000000} + \color{blue}{1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    7. +-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{1 + \left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    8. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    9. *-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    10. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    11. lift-+.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{1 + \frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    12. lower-*.f6479.2%

      \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\left(\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027\right) \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|}} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
    13. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    14. *-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    15. lift-*.f6479.2%

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{\color{blue}{0.3275911 \cdot \left|x\right|} - -1} - -1.453152027\right) \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
    16. lift-+.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{1 + \frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    17. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    18. *-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    19. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
  4. Applied rewrites79.2%

    \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\left(\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027\right) \cdot \frac{1}{0.3275911 \cdot \left|x\right| - -1}} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
  5. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    2. sub-flipN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\frac{3275911}{10000000} \cdot \left|x\right| + \left(\mathsf{neg}\left(-1\right)\right)}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    3. metadata-evalN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| + \color{blue}{1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    4. flip-+N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\frac{\left(\frac{3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    5. lower-unsound-/.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\frac{\left(\frac{3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
  6. Applied rewrites79.2%

    \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{\color{blue}{\frac{\left(x \cdot x\right) \cdot 0.10731592879921 - 1}{0.3275911 \cdot \left|x\right| - 1}}} - -1.453152027\right) \cdot \frac{1}{0.3275911 \cdot \left|x\right| - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
  7. Step-by-step derivation
    1. lift--.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{\left(x \cdot x\right) \cdot \frac{10731592879921}{100000000000000} - 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\frac{3275911}{10000000} \cdot \left|x\right| - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    2. sub-flipN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{\left(x \cdot x\right) \cdot \frac{10731592879921}{100000000000000} - 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\frac{3275911}{10000000} \cdot \left|x\right| + \left(\mathsf{neg}\left(-1\right)\right)}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    3. metadata-evalN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{\left(x \cdot x\right) \cdot \frac{10731592879921}{100000000000000} - 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\frac{3275911}{10000000} \cdot \left|x\right| + \color{blue}{1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    4. flip-+N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{\left(x \cdot x\right) \cdot \frac{10731592879921}{100000000000000} - 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\frac{\left(\frac{3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    5. lower-unsound-/.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{\left(x \cdot x\right) \cdot \frac{10731592879921}{100000000000000} - 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\frac{\left(\frac{3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{3275911}{10000000} \cdot \left|x\right| - 1}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
  8. Applied rewrites79.2%

    \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{\frac{\left(x \cdot x\right) \cdot 0.10731592879921 - 1}{0.3275911 \cdot \left|x\right| - 1}} - -1.453152027\right) \cdot \frac{1}{\color{blue}{\frac{\left(x \cdot x\right) \cdot 0.10731592879921 - 1}{0.3275911 \cdot \left|x\right| - 1}}} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
  9. Add Preprocessing

Alternative 7: 79.2% accurate, 1.0× speedup?

\[\begin{array}{l} t_0 := -0.3275911 \cdot \left|x\right| - 1\\ t_1 := 0.3275911 \cdot \left|x\right|\\ 1 - \left(\frac{1}{1 + t\_1} \cdot \left(0.254829592 + \left(\frac{-0.284496736}{\left|x\right| \cdot 0.3275911 - -1} - \frac{1}{\frac{t\_0 \cdot t\_0}{\frac{-1.453152027 - \frac{-1.061405429}{t\_1 - -1}}{t\_0} - 1.421413741}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* -0.3275911 (fabs x)) 1.0))
       (t_1 (* 0.3275911 (fabs x))))
  (-
   1.0
   (*
    (*
     (/ 1.0 (+ 1.0 t_1))
     (+
      0.254829592
      (-
       (/ -0.284496736 (- (* (fabs x) 0.3275911) -1.0))
       (/
        1.0
        (/
         (* t_0 t_0)
         (-
          (/ (- -1.453152027 (/ -1.061405429 (- t_1 -1.0))) t_0)
          1.421413741))))))
    (exp (- (* (fabs x) (fabs x))))))))
double code(double x) {
	double t_0 = (-0.3275911 * fabs(x)) - 1.0;
	double t_1 = 0.3275911 * fabs(x);
	return 1.0 - (((1.0 / (1.0 + t_1)) * (0.254829592 + ((-0.284496736 / ((fabs(x) * 0.3275911) - -1.0)) - (1.0 / ((t_0 * t_0) / (((-1.453152027 - (-1.061405429 / (t_1 - -1.0))) / t_0) - 1.421413741)))))) * exp(-(fabs(x) * fabs(x))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    t_0 = ((-0.3275911d0) * abs(x)) - 1.0d0
    t_1 = 0.3275911d0 * abs(x)
    code = 1.0d0 - (((1.0d0 / (1.0d0 + t_1)) * (0.254829592d0 + (((-0.284496736d0) / ((abs(x) * 0.3275911d0) - (-1.0d0))) - (1.0d0 / ((t_0 * t_0) / ((((-1.453152027d0) - ((-1.061405429d0) / (t_1 - (-1.0d0)))) / t_0) - 1.421413741d0)))))) * exp(-(abs(x) * abs(x))))
end function
public static double code(double x) {
	double t_0 = (-0.3275911 * Math.abs(x)) - 1.0;
	double t_1 = 0.3275911 * Math.abs(x);
	return 1.0 - (((1.0 / (1.0 + t_1)) * (0.254829592 + ((-0.284496736 / ((Math.abs(x) * 0.3275911) - -1.0)) - (1.0 / ((t_0 * t_0) / (((-1.453152027 - (-1.061405429 / (t_1 - -1.0))) / t_0) - 1.421413741)))))) * Math.exp(-(Math.abs(x) * Math.abs(x))));
}
def code(x):
	t_0 = (-0.3275911 * math.fabs(x)) - 1.0
	t_1 = 0.3275911 * math.fabs(x)
	return 1.0 - (((1.0 / (1.0 + t_1)) * (0.254829592 + ((-0.284496736 / ((math.fabs(x) * 0.3275911) - -1.0)) - (1.0 / ((t_0 * t_0) / (((-1.453152027 - (-1.061405429 / (t_1 - -1.0))) / t_0) - 1.421413741)))))) * math.exp(-(math.fabs(x) * math.fabs(x))))
function code(x)
	t_0 = Float64(Float64(-0.3275911 * abs(x)) - 1.0)
	t_1 = Float64(0.3275911 * abs(x))
	return Float64(1.0 - Float64(Float64(Float64(1.0 / Float64(1.0 + t_1)) * Float64(0.254829592 + Float64(Float64(-0.284496736 / Float64(Float64(abs(x) * 0.3275911) - -1.0)) - Float64(1.0 / Float64(Float64(t_0 * t_0) / Float64(Float64(Float64(-1.453152027 - Float64(-1.061405429 / Float64(t_1 - -1.0))) / t_0) - 1.421413741)))))) * exp(Float64(-Float64(abs(x) * abs(x))))))
end
function tmp = code(x)
	t_0 = (-0.3275911 * abs(x)) - 1.0;
	t_1 = 0.3275911 * abs(x);
	tmp = 1.0 - (((1.0 / (1.0 + t_1)) * (0.254829592 + ((-0.284496736 / ((abs(x) * 0.3275911) - -1.0)) - (1.0 / ((t_0 * t_0) / (((-1.453152027 - (-1.061405429 / (t_1 - -1.0))) / t_0) - 1.421413741)))))) * exp(-(abs(x) * abs(x))));
end
code[x_] := Block[{t$95$0 = N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]}, Block[{t$95$1 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, N[(1.0 - N[(N[(N[(1.0 / N[(1.0 + t$95$1), $MachinePrecision]), $MachinePrecision] * N[(0.254829592 + N[(N[(-0.284496736 / N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]), $MachinePrecision] - N[(1.0 / N[(N[(t$95$0 * t$95$0), $MachinePrecision] / N[(N[(N[(-1.453152027 - N[(-1.061405429 / N[(t$95$1 - -1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / t$95$0), $MachinePrecision] - 1.421413741), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[Exp[(-N[(N[Abs[x], $MachinePrecision] * N[Abs[x], $MachinePrecision]), $MachinePrecision])], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}
t_0 := -0.3275911 \cdot \left|x\right| - 1\\
t_1 := 0.3275911 \cdot \left|x\right|\\
1 - \left(\frac{1}{1 + t\_1} \cdot \left(0.254829592 + \left(\frac{-0.284496736}{\left|x\right| \cdot 0.3275911 - -1} - \frac{1}{\frac{t\_0 \cdot t\_0}{\frac{-1.453152027 - \frac{-1.061405429}{t\_1 - -1}}{t\_0} - 1.421413741}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \color{blue}{\left(\frac{-0.284496736}{\left|x\right| \cdot 0.3275911 - -1} - \frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1}}{\left|x\right| \cdot 0.3275911 - -1}\right)}\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  3. Step-by-step derivation
    1. lift-/.f64N/A

      \[\leadsto 1 - \left(\frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} \cdot \left(\frac{31853699}{125000000} + \left(\frac{\frac{-8890523}{31250000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    2. lift-/.f64N/A

      \[\leadsto 1 - \left(\frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} \cdot \left(\frac{31853699}{125000000} + \left(\frac{\frac{-8890523}{31250000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{\color{blue}{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    3. associate-/l/N/A

      \[\leadsto 1 - \left(\frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} \cdot \left(\frac{31853699}{125000000} + \left(\frac{\frac{-8890523}{31250000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \color{blue}{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot \left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right)}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    4. lift-*.f64N/A

      \[\leadsto 1 - \left(\frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} \cdot \left(\frac{31853699}{125000000} + \left(\frac{\frac{-8890523}{31250000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\color{blue}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot \left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right)}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    5. div-flipN/A

      \[\leadsto 1 - \left(\frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} \cdot \left(\frac{31853699}{125000000} + \left(\frac{\frac{-8890523}{31250000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \color{blue}{\frac{1}{\frac{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot \left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right)}{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    6. lower-unsound-/.f64N/A

      \[\leadsto 1 - \left(\frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} \cdot \left(\frac{31853699}{125000000} + \left(\frac{\frac{-8890523}{31250000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \color{blue}{\frac{1}{\frac{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot \left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right)}{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    7. lower-unsound-/.f6479.2%

      \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \left(\frac{-0.284496736}{\left|x\right| \cdot 0.3275911 - -1} - \frac{1}{\color{blue}{\frac{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \left(\left|x\right| \cdot 0.3275911 - -1\right)}{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  4. Applied rewrites79.2%

    \[\leadsto 1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \left(\frac{-0.284496736}{\left|x\right| \cdot 0.3275911 - -1} - \color{blue}{\frac{1}{\frac{\left(-0.3275911 \cdot \left|x\right| - 1\right) \cdot \left(-0.3275911 \cdot \left|x\right| - 1\right)}{\frac{-1.453152027 - \frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1}}{-0.3275911 \cdot \left|x\right| - 1} - 1.421413741}}}\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  5. Add Preprocessing

Alternative 8: 79.2% accurate, 1.1× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot 0.3275911 - -1\\ t_1 := 0.3275911 \cdot \left|x\right| - -1\\ 1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{t\_1} - -1.453152027\right) \cdot \frac{1}{t\_1} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot e^{x \cdot x}} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* (fabs x) 0.3275911) -1.0))
       (t_1 (- (* 0.3275911 (fabs x)) -1.0)))
  (-
   1.0
   (/
    (-
     (/
      (-
       (/
        (-
         (* (- (/ -1.061405429 t_1) -1.453152027) (/ 1.0 t_1))
         1.421413741)
        t_0)
       -0.284496736)
      (- (* -0.3275911 (fabs x)) 1.0))
     -0.254829592)
    (* t_0 (exp (* x x)))))))
double code(double x) {
	double t_0 = (fabs(x) * 0.3275911) - -1.0;
	double t_1 = (0.3275911 * fabs(x)) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * fabs(x)) - 1.0)) - -0.254829592) / (t_0 * exp((x * x))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    t_0 = (abs(x) * 0.3275911d0) - (-1.0d0)
    t_1 = (0.3275911d0 * abs(x)) - (-1.0d0)
    code = 1.0d0 - ((((((((((-1.061405429d0) / t_1) - (-1.453152027d0)) * (1.0d0 / t_1)) - 1.421413741d0) / t_0) - (-0.284496736d0)) / (((-0.3275911d0) * abs(x)) - 1.0d0)) - (-0.254829592d0)) / (t_0 * exp((x * x))))
end function
public static double code(double x) {
	double t_0 = (Math.abs(x) * 0.3275911) - -1.0;
	double t_1 = (0.3275911 * Math.abs(x)) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * Math.abs(x)) - 1.0)) - -0.254829592) / (t_0 * Math.exp((x * x))));
}
def code(x):
	t_0 = (math.fabs(x) * 0.3275911) - -1.0
	t_1 = (0.3275911 * math.fabs(x)) - -1.0
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * math.fabs(x)) - 1.0)) - -0.254829592) / (t_0 * math.exp((x * x))))
function code(x)
	t_0 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	t_1 = Float64(Float64(0.3275911 * abs(x)) - -1.0)
	return Float64(1.0 - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_1) - -1.453152027) * Float64(1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / Float64(Float64(-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / Float64(t_0 * exp(Float64(x * x)))))
end
function tmp = code(x)
	t_0 = (abs(x) * 0.3275911) - -1.0;
	t_1 = (0.3275911 * abs(x)) - -1.0;
	tmp = 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) * (1.0 / t_1)) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / (t_0 * exp((x * x))));
end
code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, Block[{t$95$1 = N[(N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - -1.0), $MachinePrecision]}, N[(1.0 - N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$1), $MachinePrecision] - -1.453152027), $MachinePrecision] * N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$0), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$0 * N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}
t_0 := \left|x\right| \cdot 0.3275911 - -1\\
t_1 := 0.3275911 \cdot \left|x\right| - -1\\
1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{t\_1} - -1.453152027\right) \cdot \frac{1}{t\_1} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot e^{x \cdot x}}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
  3. Step-by-step derivation
    1. lift-/.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    2. mult-flipN/A

      \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    3. lift-/.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \color{blue}{\frac{1}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    4. lift--.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\left|x\right| \cdot \frac{3275911}{10000000} - -1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    5. sub-flipN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{\left|x\right| \cdot \frac{3275911}{10000000} + \left(\mathsf{neg}\left(-1\right)\right)}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    6. metadata-evalN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\left|x\right| \cdot \frac{3275911}{10000000} + \color{blue}{1}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    7. +-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{1 + \left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    8. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    9. *-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    10. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    11. lift-+.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{1 + \frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    12. lower-*.f6479.2%

      \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\left(\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027\right) \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|}} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
    13. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    14. *-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|} - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \frac{3275911}{10000000} \cdot \left|x\right|} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    15. lift-*.f6479.2%

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{-1.061405429}{\color{blue}{0.3275911 \cdot \left|x\right|} - -1} - -1.453152027\right) \cdot \frac{1}{1 + 0.3275911 \cdot \left|x\right|} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
    16. lift-+.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{\color{blue}{1 + \frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    17. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\frac{3275911}{10000000} \cdot \left|x\right|}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    18. *-commutativeN/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
    19. lift-*.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\left(\frac{\frac{-1061405429}{1000000000}}{\frac{3275911}{10000000} \cdot \left|x\right| - -1} - \frac{-1453152027}{1000000000}\right) \cdot \frac{1}{1 + \color{blue}{\left|x\right| \cdot \frac{3275911}{10000000}}} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot e^{x \cdot x}} \]
  4. Applied rewrites79.2%

    \[\leadsto 1 - \frac{\frac{\frac{\color{blue}{\left(\frac{-1.061405429}{0.3275911 \cdot \left|x\right| - -1} - -1.453152027\right) \cdot \frac{1}{0.3275911 \cdot \left|x\right| - -1}} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}} \]
  5. Add Preprocessing

Alternative 9: 79.2% accurate, 1.1× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot 0.3275911 - -1\\ 1 - \frac{e^{\left(-x\right) \cdot x} \cdot \left(\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592\right)}{t\_0} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* (fabs x) 0.3275911) -1.0)))
  (-
   1.0
   (/
    (*
     (exp (* (- x) x))
     (-
      (/
       (-
        (/
         (- (/ (- (/ -1.061405429 t_0) -1.453152027) t_0) 1.421413741)
         t_0)
        -0.284496736)
       (- (* -0.3275911 (fabs x)) 1.0))
      -0.254829592))
    t_0))))
double code(double x) {
	double t_0 = (fabs(x) * 0.3275911) - -1.0;
	return 1.0 - ((exp((-x * x)) * ((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * fabs(x)) - 1.0)) - -0.254829592)) / t_0);
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    t_0 = (abs(x) * 0.3275911d0) - (-1.0d0)
    code = 1.0d0 - ((exp((-x * x)) * (((((((((-1.061405429d0) / t_0) - (-1.453152027d0)) / t_0) - 1.421413741d0) / t_0) - (-0.284496736d0)) / (((-0.3275911d0) * abs(x)) - 1.0d0)) - (-0.254829592d0))) / t_0)
end function
public static double code(double x) {
	double t_0 = (Math.abs(x) * 0.3275911) - -1.0;
	return 1.0 - ((Math.exp((-x * x)) * ((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * Math.abs(x)) - 1.0)) - -0.254829592)) / t_0);
}
def code(x):
	t_0 = (math.fabs(x) * 0.3275911) - -1.0
	return 1.0 - ((math.exp((-x * x)) * ((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * math.fabs(x)) - 1.0)) - -0.254829592)) / t_0)
function code(x)
	t_0 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	return Float64(1.0 - Float64(Float64(exp(Float64(Float64(-x) * x)) * Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / Float64(Float64(-0.3275911 * abs(x)) - 1.0)) - -0.254829592)) / t_0))
end
function tmp = code(x)
	t_0 = (abs(x) * 0.3275911) - -1.0;
	tmp = 1.0 - ((exp((-x * x)) * ((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * abs(x)) - 1.0)) - -0.254829592)) / t_0);
end
code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, N[(1.0 - N[(N[(N[Exp[N[((-x) * x), $MachinePrecision]], $MachinePrecision] * N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$0), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$0), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$0), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision]), $MachinePrecision] / t$95$0), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
t_0 := \left|x\right| \cdot 0.3275911 - -1\\
1 - \frac{e^{\left(-x\right) \cdot x} \cdot \left(\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592\right)}{t\_0}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \color{blue}{\frac{e^{\left(-x\right) \cdot x} \cdot \left(\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592\right)}{\left|x\right| \cdot 0.3275911 - -1}} \]
  3. Add Preprocessing

Alternative 10: 79.2% accurate, 1.1× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot 0.3275911 - -1\\ 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot e^{x \cdot x}} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* (fabs x) 0.3275911) -1.0)))
  (-
   1.0
   (/
    (-
     (/
      (-
       (/
        (- (/ (- (/ -1.061405429 t_0) -1.453152027) t_0) 1.421413741)
        t_0)
       -0.284496736)
      (- (* -0.3275911 (fabs x)) 1.0))
     -0.254829592)
    (* t_0 (exp (* x x)))))))
double code(double x) {
	double t_0 = (fabs(x) * 0.3275911) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * fabs(x)) - 1.0)) - -0.254829592) / (t_0 * exp((x * x))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    t_0 = (abs(x) * 0.3275911d0) - (-1.0d0)
    code = 1.0d0 - ((((((((((-1.061405429d0) / t_0) - (-1.453152027d0)) / t_0) - 1.421413741d0) / t_0) - (-0.284496736d0)) / (((-0.3275911d0) * abs(x)) - 1.0d0)) - (-0.254829592d0)) / (t_0 * exp((x * x))))
end function
public static double code(double x) {
	double t_0 = (Math.abs(x) * 0.3275911) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * Math.abs(x)) - 1.0)) - -0.254829592) / (t_0 * Math.exp((x * x))));
}
def code(x):
	t_0 = (math.fabs(x) * 0.3275911) - -1.0
	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * math.fabs(x)) - 1.0)) - -0.254829592) / (t_0 * math.exp((x * x))))
function code(x)
	t_0 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	return Float64(1.0 - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / Float64(Float64(-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / Float64(t_0 * exp(Float64(x * x)))))
end
function tmp = code(x)
	t_0 = (abs(x) * 0.3275911) - -1.0;
	tmp = 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / (t_0 * exp((x * x))));
end
code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, N[(1.0 - N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$0), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$0), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$0), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$0 * N[Exp[N[(x * x), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
t_0 := \left|x\right| \cdot 0.3275911 - -1\\
1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot e^{x \cdot x}}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
  3. Add Preprocessing

Alternative 11: 78.6% accurate, 1.1× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot 0.3275911 - -1\\ 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot \left(1 + {x}^{2}\right)} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (- (* (fabs x) 0.3275911) -1.0)))
  (-
   1.0
   (/
    (-
     (/
      (-
       (/
        (- (/ (- (/ -1.061405429 t_0) -1.453152027) t_0) 1.421413741)
        t_0)
       -0.284496736)
      (- (* -0.3275911 (fabs x)) 1.0))
     -0.254829592)
    (* t_0 (+ 1.0 (pow x 2.0)))))))
double code(double x) {
	double t_0 = (fabs(x) * 0.3275911) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * fabs(x)) - 1.0)) - -0.254829592) / (t_0 * (1.0 + pow(x, 2.0))));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    t_0 = (abs(x) * 0.3275911d0) - (-1.0d0)
    code = 1.0d0 - ((((((((((-1.061405429d0) / t_0) - (-1.453152027d0)) / t_0) - 1.421413741d0) / t_0) - (-0.284496736d0)) / (((-0.3275911d0) * abs(x)) - 1.0d0)) - (-0.254829592d0)) / (t_0 * (1.0d0 + (x ** 2.0d0))))
end function
public static double code(double x) {
	double t_0 = (Math.abs(x) * 0.3275911) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * Math.abs(x)) - 1.0)) - -0.254829592) / (t_0 * (1.0 + Math.pow(x, 2.0))));
}
def code(x):
	t_0 = (math.fabs(x) * 0.3275911) - -1.0
	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * math.fabs(x)) - 1.0)) - -0.254829592) / (t_0 * (1.0 + math.pow(x, 2.0))))
function code(x)
	t_0 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	return Float64(1.0 - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / Float64(Float64(-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / Float64(t_0 * Float64(1.0 + (x ^ 2.0)))))
end
function tmp = code(x)
	t_0 = (abs(x) * 0.3275911) - -1.0;
	tmp = 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / (t_0 * (1.0 + (x ^ 2.0))));
end
code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, N[(1.0 - N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$0), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$0), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$0), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$0 * N[(1.0 + N[Power[x, 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
\begin{array}{l}
t_0 := \left|x\right| \cdot 0.3275911 - -1\\
1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot \left(1 + {x}^{2}\right)}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
  3. Taylor expanded in x around 0

    \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{\left(1 + {x}^{2}\right)}} \]
  4. Step-by-step derivation
    1. lower-+.f64N/A

      \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot \left(1 + \color{blue}{{x}^{2}}\right)} \]
    2. lower-pow.f6478.6%

      \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \left(1 + {x}^{\color{blue}{2}}\right)} \]
  5. Applied rewrites78.6%

    \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{\left(1 + {x}^{2}\right)}} \]
  6. Add Preprocessing

Alternative 12: 77.7% accurate, 1.6× speedup?

\[\begin{array}{l} t_0 := \left|x\right| \cdot -0.3275911\\ t_1 := \left|x\right| \cdot 0.3275911 - -1\\ 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_1} - -1.453152027}{t\_1} - 1.421413741}{t\_1} - -0.284496736}{\frac{t\_0 \cdot t\_0 - 1}{t\_0 + 1}} - -0.254829592}{t\_1 \cdot 1} \end{array} \]
(FPCore (x)
  :precision binary64
  (let* ((t_0 (* (fabs x) -0.3275911))
       (t_1 (- (* (fabs x) 0.3275911) -1.0)))
  (-
   1.0
   (/
    (-
     (/
      (-
       (/
        (- (/ (- (/ -1.061405429 t_1) -1.453152027) t_1) 1.421413741)
        t_1)
       -0.284496736)
      (/ (- (* t_0 t_0) 1.0) (+ t_0 1.0)))
     -0.254829592)
    (* t_1 1.0)))))
double code(double x) {
	double t_0 = fabs(x) * -0.3275911;
	double t_1 = (fabs(x) * 0.3275911) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (((t_0 * t_0) - 1.0) / (t_0 + 1.0))) - -0.254829592) / (t_1 * 1.0));
}
module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(x)
use fmin_fmax_functions
    real(8), intent (in) :: x
    real(8) :: t_0
    real(8) :: t_1
    t_0 = abs(x) * (-0.3275911d0)
    t_1 = (abs(x) * 0.3275911d0) - (-1.0d0)
    code = 1.0d0 - ((((((((((-1.061405429d0) / t_1) - (-1.453152027d0)) / t_1) - 1.421413741d0) / t_1) - (-0.284496736d0)) / (((t_0 * t_0) - 1.0d0) / (t_0 + 1.0d0))) - (-0.254829592d0)) / (t_1 * 1.0d0))
end function
public static double code(double x) {
	double t_0 = Math.abs(x) * -0.3275911;
	double t_1 = (Math.abs(x) * 0.3275911) - -1.0;
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (((t_0 * t_0) - 1.0) / (t_0 + 1.0))) - -0.254829592) / (t_1 * 1.0));
}
def code(x):
	t_0 = math.fabs(x) * -0.3275911
	t_1 = (math.fabs(x) * 0.3275911) - -1.0
	return 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (((t_0 * t_0) - 1.0) / (t_0 + 1.0))) - -0.254829592) / (t_1 * 1.0))
function code(x)
	t_0 = Float64(abs(x) * -0.3275911)
	t_1 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
	return Float64(1.0 - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_1) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / Float64(Float64(Float64(t_0 * t_0) - 1.0) / Float64(t_0 + 1.0))) - -0.254829592) / Float64(t_1 * 1.0)))
end
function tmp = code(x)
	t_0 = abs(x) * -0.3275911;
	t_1 = (abs(x) * 0.3275911) - -1.0;
	tmp = 1.0 - (((((((((-1.061405429 / t_1) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (((t_0 * t_0) - 1.0) / (t_0 + 1.0))) - -0.254829592) / (t_1 * 1.0));
end
code[x_] := Block[{t$95$0 = N[(N[Abs[x], $MachinePrecision] * -0.3275911), $MachinePrecision]}, Block[{t$95$1 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, N[(1.0 - N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$1), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$1), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$1), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(N[(t$95$0 * t$95$0), $MachinePrecision] - 1.0), $MachinePrecision] / N[(t$95$0 + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$1 * 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]
\begin{array}{l}
t_0 := \left|x\right| \cdot -0.3275911\\
t_1 := \left|x\right| \cdot 0.3275911 - -1\\
1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_1} - -1.453152027}{t\_1} - 1.421413741}{t\_1} - -0.284496736}{\frac{t\_0 \cdot t\_0 - 1}{t\_0 + 1}} - -0.254829592}{t\_1 \cdot 1}
\end{array}
Derivation
  1. Initial program 79.2%

    \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
  2. Applied rewrites79.2%

    \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
  3. Taylor expanded in x around 0

    \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{1}} \]
  4. Step-by-step derivation
    1. Applied rewrites77.7%

      \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{1}} \]
    2. Step-by-step derivation
      1. lift--.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right| - 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      2. flip--N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      3. lower-unsound-/.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\color{blue}{\frac{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      4. lower-unsound--.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      5. lower-unsound-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      6. lift-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      7. *-commutativeN/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      8. lower-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} \cdot \left(\frac{-3275911}{10000000} \cdot \left|x\right|\right) - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      9. lift-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\frac{-3275911}{10000000} \cdot \left|x\right|\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      10. *-commutativeN/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      11. lower-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \color{blue}{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right)} - 1 \cdot 1}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      12. lower-unsound-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      13. lift-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1 \cdot 1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      14. metadata-evalN/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - \color{blue}{1}}{\frac{-3275911}{10000000} \cdot \left|x\right| + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      15. lower-unsound-+.f6477.7%

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{-0.3275911 \cdot \left|x\right| + 1}}} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot 1} \]
      16. lift-*.f64N/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\frac{-3275911}{10000000} \cdot \left|x\right|} + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      17. *-commutativeN/A

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{\frac{-1061405429}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-1453152027}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{1421413741}{1000000000}}{\left|x\right| \cdot \frac{3275911}{10000000} - -1} - \frac{-8890523}{31250000}}{\frac{\left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) \cdot \left(\left|x\right| \cdot \frac{-3275911}{10000000}\right) - 1}{\color{blue}{\left|x\right| \cdot \frac{-3275911}{10000000}} + 1}} - \frac{-31853699}{125000000}}{\left(\left|x\right| \cdot \frac{3275911}{10000000} - -1\right) \cdot 1} \]
      18. lower-*.f6477.7%

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\color{blue}{\left|x\right| \cdot -0.3275911} + 1}} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot 1} \]
    3. Applied rewrites77.7%

      \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{\color{blue}{\frac{\left(\left|x\right| \cdot -0.3275911\right) \cdot \left(\left|x\right| \cdot -0.3275911\right) - 1}{\left|x\right| \cdot -0.3275911 + 1}}} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot 1} \]
    4. Add Preprocessing

    Alternative 13: 77.7% accurate, 1.8× speedup?

    \[\begin{array}{l} t_0 := 0.3275911 \cdot \left|x\right|\\ t_1 := t\_0 - -1\\ t_2 := t\_1 \cdot 1\\ \frac{1 \cdot t\_2 - \left(\frac{\frac{\frac{\frac{1.061405429}{\left|x\right| \cdot -0.3275911 - 1} - -1.453152027}{t\_1} - 1.421413741}{t\_1} - -0.284496736}{-1 - t\_0} - -0.254829592\right)}{t\_2} \end{array} \]
    (FPCore (x)
      :precision binary64
      (let* ((t_0 (* 0.3275911 (fabs x)))
           (t_1 (- t_0 -1.0))
           (t_2 (* t_1 1.0)))
      (/
       (-
        (* 1.0 t_2)
        (-
         (/
          (-
           (/
            (-
             (/
              (-
               (/ 1.061405429 (- (* (fabs x) -0.3275911) 1.0))
               -1.453152027)
              t_1)
             1.421413741)
            t_1)
           -0.284496736)
          (- -1.0 t_0))
         -0.254829592))
       t_2)))
    double code(double x) {
    	double t_0 = 0.3275911 * fabs(x);
    	double t_1 = t_0 - -1.0;
    	double t_2 = t_1 * 1.0;
    	return ((1.0 * t_2) - ((((((((1.061405429 / ((fabs(x) * -0.3275911) - 1.0)) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (-1.0 - t_0)) - -0.254829592)) / t_2;
    }
    
    module fmin_fmax_functions
        implicit none
        private
        public fmax
        public fmin
    
        interface fmax
            module procedure fmax88
            module procedure fmax44
            module procedure fmax84
            module procedure fmax48
        end interface
        interface fmin
            module procedure fmin88
            module procedure fmin44
            module procedure fmin84
            module procedure fmin48
        end interface
    contains
        real(8) function fmax88(x, y) result (res)
            real(8), intent (in) :: x
            real(8), intent (in) :: y
            res = merge(y, merge(x, max(x, y), y /= y), x /= x)
        end function
        real(4) function fmax44(x, y) result (res)
            real(4), intent (in) :: x
            real(4), intent (in) :: y
            res = merge(y, merge(x, max(x, y), y /= y), x /= x)
        end function
        real(8) function fmax84(x, y) result(res)
            real(8), intent (in) :: x
            real(4), intent (in) :: y
            res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
        end function
        real(8) function fmax48(x, y) result(res)
            real(4), intent (in) :: x
            real(8), intent (in) :: y
            res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
        end function
        real(8) function fmin88(x, y) result (res)
            real(8), intent (in) :: x
            real(8), intent (in) :: y
            res = merge(y, merge(x, min(x, y), y /= y), x /= x)
        end function
        real(4) function fmin44(x, y) result (res)
            real(4), intent (in) :: x
            real(4), intent (in) :: y
            res = merge(y, merge(x, min(x, y), y /= y), x /= x)
        end function
        real(8) function fmin84(x, y) result(res)
            real(8), intent (in) :: x
            real(4), intent (in) :: y
            res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
        end function
        real(8) function fmin48(x, y) result(res)
            real(4), intent (in) :: x
            real(8), intent (in) :: y
            res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
        end function
    end module
    
    real(8) function code(x)
    use fmin_fmax_functions
        real(8), intent (in) :: x
        real(8) :: t_0
        real(8) :: t_1
        real(8) :: t_2
        t_0 = 0.3275911d0 * abs(x)
        t_1 = t_0 - (-1.0d0)
        t_2 = t_1 * 1.0d0
        code = ((1.0d0 * t_2) - ((((((((1.061405429d0 / ((abs(x) * (-0.3275911d0)) - 1.0d0)) - (-1.453152027d0)) / t_1) - 1.421413741d0) / t_1) - (-0.284496736d0)) / ((-1.0d0) - t_0)) - (-0.254829592d0))) / t_2
    end function
    
    public static double code(double x) {
    	double t_0 = 0.3275911 * Math.abs(x);
    	double t_1 = t_0 - -1.0;
    	double t_2 = t_1 * 1.0;
    	return ((1.0 * t_2) - ((((((((1.061405429 / ((Math.abs(x) * -0.3275911) - 1.0)) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (-1.0 - t_0)) - -0.254829592)) / t_2;
    }
    
    def code(x):
    	t_0 = 0.3275911 * math.fabs(x)
    	t_1 = t_0 - -1.0
    	t_2 = t_1 * 1.0
    	return ((1.0 * t_2) - ((((((((1.061405429 / ((math.fabs(x) * -0.3275911) - 1.0)) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (-1.0 - t_0)) - -0.254829592)) / t_2
    
    function code(x)
    	t_0 = Float64(0.3275911 * abs(x))
    	t_1 = Float64(t_0 - -1.0)
    	t_2 = Float64(t_1 * 1.0)
    	return Float64(Float64(Float64(1.0 * t_2) - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(1.061405429 / Float64(Float64(abs(x) * -0.3275911) - 1.0)) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / Float64(-1.0 - t_0)) - -0.254829592)) / t_2)
    end
    
    function tmp = code(x)
    	t_0 = 0.3275911 * abs(x);
    	t_1 = t_0 - -1.0;
    	t_2 = t_1 * 1.0;
    	tmp = ((1.0 * t_2) - ((((((((1.061405429 / ((abs(x) * -0.3275911) - 1.0)) - -1.453152027) / t_1) - 1.421413741) / t_1) - -0.284496736) / (-1.0 - t_0)) - -0.254829592)) / t_2;
    end
    
    code[x_] := Block[{t$95$0 = N[(0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision]}, Block[{t$95$1 = N[(t$95$0 - -1.0), $MachinePrecision]}, Block[{t$95$2 = N[(t$95$1 * 1.0), $MachinePrecision]}, N[(N[(N[(1.0 * t$95$2), $MachinePrecision] - N[(N[(N[(N[(N[(N[(N[(N[(1.061405429 / N[(N[(N[Abs[x], $MachinePrecision] * -0.3275911), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$1), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$1), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(-1.0 - t$95$0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision]), $MachinePrecision] / t$95$2), $MachinePrecision]]]]
    
    \begin{array}{l}
    t_0 := 0.3275911 \cdot \left|x\right|\\
    t_1 := t\_0 - -1\\
    t_2 := t\_1 \cdot 1\\
    \frac{1 \cdot t\_2 - \left(\frac{\frac{\frac{\frac{1.061405429}{\left|x\right| \cdot -0.3275911 - 1} - -1.453152027}{t\_1} - 1.421413741}{t\_1} - -0.284496736}{-1 - t\_0} - -0.254829592\right)}{t\_2}
    \end{array}
    
    Derivation
    1. Initial program 79.2%

      \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
    2. Applied rewrites79.2%

      \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
    3. Taylor expanded in x around 0

      \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{1}} \]
    4. Step-by-step derivation
      1. Applied rewrites77.7%

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{1}} \]
      2. Applied rewrites77.7%

        \[\leadsto \color{blue}{\frac{1 \cdot \left(\left(0.3275911 \cdot \left|x\right| - -1\right) \cdot 1\right) - \left(\frac{\frac{\frac{\frac{1.061405429}{\left|x\right| \cdot -0.3275911 - 1} - -1.453152027}{0.3275911 \cdot \left|x\right| - -1} - 1.421413741}{0.3275911 \cdot \left|x\right| - -1} - -0.284496736}{-1 - 0.3275911 \cdot \left|x\right|} - -0.254829592\right)}{\left(0.3275911 \cdot \left|x\right| - -1\right) \cdot 1}} \]
      3. Add Preprocessing

      Alternative 14: 77.7% accurate, 2.1× speedup?

      \[\begin{array}{l} t_0 := \left|x\right| \cdot 0.3275911 - -1\\ 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot 1} \end{array} \]
      (FPCore (x)
        :precision binary64
        (let* ((t_0 (- (* (fabs x) 0.3275911) -1.0)))
        (-
         1.0
         (/
          (-
           (/
            (-
             (/
              (- (/ (- (/ -1.061405429 t_0) -1.453152027) t_0) 1.421413741)
              t_0)
             -0.284496736)
            (- (* -0.3275911 (fabs x)) 1.0))
           -0.254829592)
          (* t_0 1.0)))))
      double code(double x) {
      	double t_0 = (fabs(x) * 0.3275911) - -1.0;
      	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * fabs(x)) - 1.0)) - -0.254829592) / (t_0 * 1.0));
      }
      
      module fmin_fmax_functions
          implicit none
          private
          public fmax
          public fmin
      
          interface fmax
              module procedure fmax88
              module procedure fmax44
              module procedure fmax84
              module procedure fmax48
          end interface
          interface fmin
              module procedure fmin88
              module procedure fmin44
              module procedure fmin84
              module procedure fmin48
          end interface
      contains
          real(8) function fmax88(x, y) result (res)
              real(8), intent (in) :: x
              real(8), intent (in) :: y
              res = merge(y, merge(x, max(x, y), y /= y), x /= x)
          end function
          real(4) function fmax44(x, y) result (res)
              real(4), intent (in) :: x
              real(4), intent (in) :: y
              res = merge(y, merge(x, max(x, y), y /= y), x /= x)
          end function
          real(8) function fmax84(x, y) result(res)
              real(8), intent (in) :: x
              real(4), intent (in) :: y
              res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
          end function
          real(8) function fmax48(x, y) result(res)
              real(4), intent (in) :: x
              real(8), intent (in) :: y
              res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
          end function
          real(8) function fmin88(x, y) result (res)
              real(8), intent (in) :: x
              real(8), intent (in) :: y
              res = merge(y, merge(x, min(x, y), y /= y), x /= x)
          end function
          real(4) function fmin44(x, y) result (res)
              real(4), intent (in) :: x
              real(4), intent (in) :: y
              res = merge(y, merge(x, min(x, y), y /= y), x /= x)
          end function
          real(8) function fmin84(x, y) result(res)
              real(8), intent (in) :: x
              real(4), intent (in) :: y
              res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
          end function
          real(8) function fmin48(x, y) result(res)
              real(4), intent (in) :: x
              real(8), intent (in) :: y
              res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
          end function
      end module
      
      real(8) function code(x)
      use fmin_fmax_functions
          real(8), intent (in) :: x
          real(8) :: t_0
          t_0 = (abs(x) * 0.3275911d0) - (-1.0d0)
          code = 1.0d0 - ((((((((((-1.061405429d0) / t_0) - (-1.453152027d0)) / t_0) - 1.421413741d0) / t_0) - (-0.284496736d0)) / (((-0.3275911d0) * abs(x)) - 1.0d0)) - (-0.254829592d0)) / (t_0 * 1.0d0))
      end function
      
      public static double code(double x) {
      	double t_0 = (Math.abs(x) * 0.3275911) - -1.0;
      	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * Math.abs(x)) - 1.0)) - -0.254829592) / (t_0 * 1.0));
      }
      
      def code(x):
      	t_0 = (math.fabs(x) * 0.3275911) - -1.0
      	return 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * math.fabs(x)) - 1.0)) - -0.254829592) / (t_0 * 1.0))
      
      function code(x)
      	t_0 = Float64(Float64(abs(x) * 0.3275911) - -1.0)
      	return Float64(1.0 - Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / Float64(Float64(-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / Float64(t_0 * 1.0)))
      end
      
      function tmp = code(x)
      	t_0 = (abs(x) * 0.3275911) - -1.0;
      	tmp = 1.0 - (((((((((-1.061405429 / t_0) - -1.453152027) / t_0) - 1.421413741) / t_0) - -0.284496736) / ((-0.3275911 * abs(x)) - 1.0)) - -0.254829592) / (t_0 * 1.0));
      end
      
      code[x_] := Block[{t$95$0 = N[(N[(N[Abs[x], $MachinePrecision] * 0.3275911), $MachinePrecision] - -1.0), $MachinePrecision]}, N[(1.0 - N[(N[(N[(N[(N[(N[(N[(N[(N[(-1.061405429 / t$95$0), $MachinePrecision] - -1.453152027), $MachinePrecision] / t$95$0), $MachinePrecision] - 1.421413741), $MachinePrecision] / t$95$0), $MachinePrecision] - -0.284496736), $MachinePrecision] / N[(N[(-0.3275911 * N[Abs[x], $MachinePrecision]), $MachinePrecision] - 1.0), $MachinePrecision]), $MachinePrecision] - -0.254829592), $MachinePrecision] / N[(t$95$0 * 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]
      
      \begin{array}{l}
      t_0 := \left|x\right| \cdot 0.3275911 - -1\\
      1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{t\_0} - -1.453152027}{t\_0} - 1.421413741}{t\_0} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{t\_0 \cdot 1}
      \end{array}
      
      Derivation
      1. Initial program 79.2%

        \[1 - \left(\frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(0.254829592 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-0.284496736 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(1.421413741 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot \left(-1.453152027 + \frac{1}{1 + 0.3275911 \cdot \left|x\right|} \cdot 1.061405429\right)\right)\right)\right)\right) \cdot e^{-\left|x\right| \cdot \left|x\right|} \]
      2. Applied rewrites79.2%

        \[\leadsto 1 - \color{blue}{\frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot e^{x \cdot x}}} \]
      3. Taylor expanded in x around 0

        \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{1}} \]
      4. Step-by-step derivation
        1. Applied rewrites77.7%

          \[\leadsto 1 - \frac{\frac{\frac{\frac{\frac{-1.061405429}{\left|x\right| \cdot 0.3275911 - -1} - -1.453152027}{\left|x\right| \cdot 0.3275911 - -1} - 1.421413741}{\left|x\right| \cdot 0.3275911 - -1} - -0.284496736}{-0.3275911 \cdot \left|x\right| - 1} - -0.254829592}{\left(\left|x\right| \cdot 0.3275911 - -1\right) \cdot \color{blue}{1}} \]
        2. Add Preprocessing

        Reproduce

        ?
        herbie shell --seed 2025258 
        (FPCore (x)
          :name "Jmat.Real.erf"
          :precision binary64
          (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x)))))))