Rosa's FloatVsDoubleBenchmark

Percentage Accurate: 70.6% → 99.4%

Time: 53.4s

Precision: binary64

Cost: 101768

• 46.1% of points produce a very large (infinite) output. You may want to add a precondition.

Math

\[x1 + \left(\left(\left(\left(\left(\left(\left(2 \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \cdot \left(\frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 6\right)\right) \cdot \left(x1 \cdot x1 + 1\right) + \left(\left(3 \cdot x1\right) \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) + \left(x1 \cdot x1\right) \cdot x1\right) + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

↓

\[\begin{array}{l} t_0 := \mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+153}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq 2 \cdot 10^{+82}:\\ \;\;\;\;x1 + \mathsf{fma}\left(3, \frac{x1 \cdot \left(x1 \cdot 3\right)}{\mathsf{fma}\left(x1, x1, 1\right)} - \frac{\mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}, \mathsf{fma}\left(x1, x1 \cdot \frac{t_0}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{t_0}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{t_0}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \sqrt[3]{{\left(\mathsf{fma}\left(x1, \mathsf{fma}\left(4, x2 \cdot \mathsf{fma}\left(x2, 2, -3\right), -2\right), \mathsf{fma}\left(x2, -6, {\left(x1 \cdot 3\right)}^{2}\right)\right)\right)}^{3}}\\ \end{array} \]

FPCore

(FPCore (x1 x2)
 :precision binary64
 (+
  x1
  (+
   (+
    (+
     (+
      (*
       (+
        (*
         (*
          (* 2.0 x1)
          (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))
         (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0))
        (*
         (* x1 x1)
         (-
          (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))
          6.0)))
       (+ (* x1 x1) 1.0))
      (*
       (* (* 3.0 x1) x1)
       (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))))
     (* (* x1 x1) x1))
    x1)
   (* 3.0 (/ (- (- (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))))))

↓

(FPCore (x1 x2)
 :precision binary64
 (let* ((t_0 (fma x1 (* x1 3.0) (fma 2.0 x2 (- x1)))))
   (if (<= x1 -5e+153)
     (+ x1 (* 9.0 (* x1 x1)))
     (if (<= x1 2e+82)
       (+
        x1
        (fma
         3.0
         (-
          (/ (* x1 (* x1 3.0)) (fma x1 x1 1.0))
          (/ (fma 2.0 x2 x1) (fma x1 x1 1.0)))
         (fma
          x1
          (* x1 (/ t_0 (/ (fma x1 x1 1.0) 3.0)))
          (*
           (fma x1 x1 1.0)
           (+
            x1
            (+
             (* x1 (* x1 -6.0))
             (*
              (/ t_0 (fma x1 x1 1.0))
              (+
               (* x1 (+ -6.0 (/ t_0 (/ (fma x1 x1 1.0) 2.0))))
               (* (* x1 x1) 4.0)))))))))
       (+
        x1
        (cbrt
         (pow
          (fma
           x1
           (fma 4.0 (* x2 (fma x2 2.0 -3.0)) -2.0)
           (fma x2 -6.0 (pow (* x1 3.0) 2.0)))
          3.0)))))))

C

double code(double x1, double x2) {
	return x1 + (((((((((2.0 * x1) * (((((3.0 * x1) * x1) + (2.0 * x2)) - x1) / ((x1 * x1) + 1.0))) * ((((((3.0 * x1) * x1) + (2.0 * x2)) - x1) / ((x1 * x1) + 1.0)) - 3.0)) + ((x1 * x1) * ((4.0 * (((((3.0 * x1) * x1) + (2.0 * x2)) - x1) / ((x1 * x1) + 1.0))) - 6.0))) * ((x1 * x1) + 1.0)) + (((3.0 * x1) * x1) * (((((3.0 * x1) * x1) + (2.0 * x2)) - x1) / ((x1 * x1) + 1.0)))) + ((x1 * x1) * x1)) + x1) + (3.0 * (((((3.0 * x1) * x1) - (2.0 * x2)) - x1) / ((x1 * x1) + 1.0))));
}

↓

double code(double x1, double x2) {
	double t_0 = fma(x1, (x1 * 3.0), fma(2.0, x2, -x1));
	double tmp;
	if (x1 <= -5e+153) {
		tmp = x1 + (9.0 * (x1 * x1));
	} else if (x1 <= 2e+82) {
		tmp = x1 + fma(3.0, (((x1 * (x1 * 3.0)) / fma(x1, x1, 1.0)) - (fma(2.0, x2, x1) / fma(x1, x1, 1.0))), fma(x1, (x1 * (t_0 / (fma(x1, x1, 1.0) / 3.0))), (fma(x1, x1, 1.0) * (x1 + ((x1 * (x1 * -6.0)) + ((t_0 / fma(x1, x1, 1.0)) * ((x1 * (-6.0 + (t_0 / (fma(x1, x1, 1.0) / 2.0)))) + ((x1 * x1) * 4.0))))))));
	} else {
		tmp = x1 + cbrt(pow(fma(x1, fma(4.0, (x2 * fma(x2, 2.0, -3.0)), -2.0), fma(x2, -6.0, pow((x1 * 3.0), 2.0))), 3.0));
	}
	return tmp;
}

Julia

function code(x1, x2)
	return Float64(x1 + Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(2.0 * x1) * Float64(Float64(Float64(Float64(Float64(3.0 * x1) * x1) + Float64(2.0 * x2)) - x1) / Float64(Float64(x1 * x1) + 1.0))) * Float64(Float64(Float64(Float64(Float64(Float64(3.0 * x1) * x1) + Float64(2.0 * x2)) - x1) / Float64(Float64(x1 * x1) + 1.0)) - 3.0)) + Float64(Float64(x1 * x1) * Float64(Float64(4.0 * Float64(Float64(Float64(Float64(Float64(3.0 * x1) * x1) + Float64(2.0 * x2)) - x1) / Float64(Float64(x1 * x1) + 1.0))) - 6.0))) * Float64(Float64(x1 * x1) + 1.0)) + Float64(Float64(Float64(3.0 * x1) * x1) * Float64(Float64(Float64(Float64(Float64(3.0 * x1) * x1) + Float64(2.0 * x2)) - x1) / Float64(Float64(x1 * x1) + 1.0)))) + Float64(Float64(x1 * x1) * x1)) + x1) + Float64(3.0 * Float64(Float64(Float64(Float64(Float64(3.0 * x1) * x1) - Float64(2.0 * x2)) - x1) / Float64(Float64(x1 * x1) + 1.0)))))
end

↓

function code(x1, x2)
	t_0 = fma(x1, Float64(x1 * 3.0), fma(2.0, x2, Float64(-x1)))
	tmp = 0.0
	if (x1 <= -5e+153)
		tmp = Float64(x1 + Float64(9.0 * Float64(x1 * x1)));
	elseif (x1 <= 2e+82)
		tmp = Float64(x1 + fma(3.0, Float64(Float64(Float64(x1 * Float64(x1 * 3.0)) / fma(x1, x1, 1.0)) - Float64(fma(2.0, x2, x1) / fma(x1, x1, 1.0))), fma(x1, Float64(x1 * Float64(t_0 / Float64(fma(x1, x1, 1.0) / 3.0))), Float64(fma(x1, x1, 1.0) * Float64(x1 + Float64(Float64(x1 * Float64(x1 * -6.0)) + Float64(Float64(t_0 / fma(x1, x1, 1.0)) * Float64(Float64(x1 * Float64(-6.0 + Float64(t_0 / Float64(fma(x1, x1, 1.0) / 2.0)))) + Float64(Float64(x1 * x1) * 4.0)))))))));
	else
		tmp = Float64(x1 + cbrt((fma(x1, fma(4.0, Float64(x2 * fma(x2, 2.0, -3.0)), -2.0), fma(x2, -6.0, (Float64(x1 * 3.0) ^ 2.0))) ^ 3.0)));
	end
	return tmp
end

Wolfram

code[x1_, x2_] := N[(x1 + N[(N[(N[(N[(N[(N[(N[(N[(N[(2.0 * x1), $MachinePrecision] * N[(N[(N[(N[(N[(3.0 * x1), $MachinePrecision] * x1), $MachinePrecision] + N[(2.0 * x2), $MachinePrecision]), $MachinePrecision] - x1), $MachinePrecision] / N[(N[(x1 * x1), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(N[(N[(N[(N[(3.0 * x1), $MachinePrecision] * x1), $MachinePrecision] + N[(2.0 * x2), $MachinePrecision]), $MachinePrecision] - x1), $MachinePrecision] / N[(N[(x1 * x1), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision] - 3.0), $MachinePrecision]), $MachinePrecision] + N[(N[(x1 * x1), $MachinePrecision] * N[(N[(4.0 * N[(N[(N[(N[(N[(3.0 * x1), $MachinePrecision] * x1), $MachinePrecision] + N[(2.0 * x2), $MachinePrecision]), $MachinePrecision] - x1), $MachinePrecision] / N[(N[(x1 * x1), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - 6.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(N[(x1 * x1), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(3.0 * x1), $MachinePrecision] * x1), $MachinePrecision] * N[(N[(N[(N[(N[(3.0 * x1), $MachinePrecision] * x1), $MachinePrecision] + N[(2.0 * x2), $MachinePrecision]), $MachinePrecision] - x1), $MachinePrecision] / N[(N[(x1 * x1), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x1 * x1), $MachinePrecision] * x1), $MachinePrecision]), $MachinePrecision] + x1), $MachinePrecision] + N[(3.0 * N[(N[(N[(N[(N[(3.0 * x1), $MachinePrecision] * x1), $MachinePrecision] - N[(2.0 * x2), $MachinePrecision]), $MachinePrecision] - x1), $MachinePrecision] / N[(N[(x1 * x1), $MachinePrecision] + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x1_, x2_] := Block[{t$95$0 = N[(x1 * N[(x1 * 3.0), $MachinePrecision] + N[(2.0 * x2 + (-x1)), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x1, -5e+153], N[(x1 + N[(9.0 * N[(x1 * x1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x1, 2e+82], N[(x1 + N[(3.0 * N[(N[(N[(x1 * N[(x1 * 3.0), $MachinePrecision]), $MachinePrecision] / N[(x1 * x1 + 1.0), $MachinePrecision]), $MachinePrecision] - N[(N[(2.0 * x2 + x1), $MachinePrecision] / N[(x1 * x1 + 1.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x1 * N[(x1 * N[(t$95$0 / N[(N[(x1 * x1 + 1.0), $MachinePrecision] / 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x1 * x1 + 1.0), $MachinePrecision] * N[(x1 + N[(N[(x1 * N[(x1 * -6.0), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$0 / N[(x1 * x1 + 1.0), $MachinePrecision]), $MachinePrecision] * N[(N[(x1 * N[(-6.0 + N[(t$95$0 / N[(N[(x1 * x1 + 1.0), $MachinePrecision] / 2.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(x1 * x1), $MachinePrecision] * 4.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x1 + N[Power[N[Power[N[(x1 * N[(4.0 * N[(x2 * N[(x2 * 2.0 + -3.0), $MachinePrecision]), $MachinePrecision] + -2.0), $MachinePrecision] + N[(x2 * -6.0 + N[Power[N[(x1 * 3.0), $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision], 3.0], $MachinePrecision], 1/3], $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 3 regimes

2. if x1 < -5.00000000000000018e153

   1. Initial program 0.0%

      \[x1 + \left(\left(\left(\left(\left(\left(\left(2 \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \cdot \left(\frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 6\right)\right) \cdot \left(x1 \cdot x1 + 1\right) + \left(\left(3 \cdot x1\right) \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) + \left(x1 \cdot x1\right) \cdot x1\right) + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

   2. Taylor expanded in x1 around 0 0.0%

      \[\leadsto x1 + \left(\left(\color{blue}{4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)} + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

   3. Taylor expanded in x1 around 0 45.9%

      \[\leadsto x1 + \color{blue}{\left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left({x1}^{2} \cdot \left(3 - -2 \cdot x2\right)\right)\right)\right)} \]

   4. Taylor expanded in x2 around 0 51.4%

      \[\leadsto x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \color{blue}{\left(3 \cdot {x1}^{2}\right)}\right)\right) \]

   5. Simplified 51.4%

      \[\leadsto x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \color{blue}{\left(\left(3 \cdot x1\right) \cdot x1\right)}\right)\right) \]
      Step-by-step derivation

      [Start] 51.4	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(3 \cdot {x1}^{2}\right)\right)\right) \]
      unpow2 [=>] 51.4	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(3 \cdot \color{blue}{\left(x1 \cdot x1\right)}\right)\right)\right) \]
      associate-*r* [=>] 51.4	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \color{blue}{\left(\left(3 \cdot x1\right) \cdot x1\right)}\right)\right) \]

   6. Taylor expanded in x1 around inf 100.0%

      \[\leadsto x1 + \color{blue}{9 \cdot {x1}^{2}} \]

   7. Simplified 100.0%

      \[\leadsto x1 + \color{blue}{9 \cdot \left(x1 \cdot x1\right)} \]
      Step-by-step derivation

      [Start] 100.0	\[ x1 + 9 \cdot {x1}^{2} \]
      unpow2 [=>] 100.0	\[ x1 + 9 \cdot \color{blue}{\left(x1 \cdot x1\right)} \]

   if -5.00000000000000018e153 < x1 < 1.9999999999999999e82

   1. Initial program 90.0%

      \[x1 + \left(\left(\left(\left(\left(\left(\left(2 \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \cdot \left(\frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 6\right)\right) \cdot \left(x1 \cdot x1 + 1\right) + \left(\left(3 \cdot x1\right) \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) + \left(x1 \cdot x1\right) \cdot x1\right) + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

   2. Simplified 99.7%

      \[\leadsto \color{blue}{x1 + \mathsf{fma}\left(3, \frac{x1 \cdot \left(x1 \cdot 3\right) - \mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}, \mathsf{fma}\left(x1, x1 \cdot \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right)} \]
      Step-by-step derivation

      [Start] 90.0

      \[ x1 + \left(\left(\left(\left(\left(\left(\left(2 \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \cdot \left(\frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 6\right)\right) \cdot \left(x1 \cdot x1 + 1\right) + \left(\left(3 \cdot x1\right) \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) + \left(x1 \cdot x1\right) \cdot x1\right) + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

      +-commutative [=>] 90.0

      \[ x1 + \color{blue}{\left(3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} + \left(\left(\left(\left(\left(\left(2 \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \cdot \left(\frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 6\right)\right) \cdot \left(x1 \cdot x1 + 1\right) + \left(\left(3 \cdot x1\right) \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) + \left(x1 \cdot x1\right) \cdot x1\right) + x1\right)\right)} \]

   3. Applied egg-rr 99.7%

      \[\leadsto x1 + \mathsf{fma}\left(3, \color{blue}{\frac{x1 \cdot \left(x1 \cdot 3\right)}{\mathsf{fma}\left(x1, x1, 1\right)} - \frac{\mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}}, \mathsf{fma}\left(x1, x1 \cdot \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right) \]
      Step-by-step derivation

      [Start] 99.7

      \[ x1 + \mathsf{fma}\left(3, \frac{x1 \cdot \left(x1 \cdot 3\right) - \mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}, \mathsf{fma}\left(x1, x1 \cdot \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right) \]

      div-sub [=>] 99.7

      \[ x1 + \mathsf{fma}\left(3, \color{blue}{\frac{x1 \cdot \left(x1 \cdot 3\right)}{\mathsf{fma}\left(x1, x1, 1\right)} - \frac{\mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}}, \mathsf{fma}\left(x1, x1 \cdot \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right) \]

   if 1.9999999999999999e82 < x1

   1. Initial program 24.5%

      \[x1 + \left(\left(\left(\left(\left(\left(\left(2 \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \cdot \left(\frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} - 6\right)\right) \cdot \left(x1 \cdot x1 + 1\right) + \left(\left(3 \cdot x1\right) \cdot x1\right) \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 + 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) + \left(x1 \cdot x1\right) \cdot x1\right) + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

   2. Taylor expanded in x1 around 0 12.8%

      \[\leadsto x1 + \left(\left(\color{blue}{4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)} + x1\right) + 3 \cdot \frac{\left(\left(3 \cdot x1\right) \cdot x1 - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\right) \]

   3. Taylor expanded in x1 around 0 64.1%

      \[\leadsto x1 + \color{blue}{\left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left({x1}^{2} \cdot \left(3 - -2 \cdot x2\right)\right)\right)\right)} \]

   4. Taylor expanded in x2 around 0 88.5%

      \[\leadsto x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \color{blue}{\left(3 \cdot {x1}^{2}\right)}\right)\right) \]

   5. Simplified 88.5%

      \[\leadsto x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \color{blue}{\left(\left(3 \cdot x1\right) \cdot x1\right)}\right)\right) \]
      Step-by-step derivation

      [Start] 88.5	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(3 \cdot {x1}^{2}\right)\right)\right) \]
      unpow2 [=>] 88.5	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(3 \cdot \color{blue}{\left(x1 \cdot x1\right)}\right)\right)\right) \]
      associate-*r* [=>] 88.5	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \color{blue}{\left(\left(3 \cdot x1\right) \cdot x1\right)}\right)\right) \]

   6. Applied egg-rr 100.0%

      \[\leadsto x1 + \color{blue}{\sqrt[3]{{\left(\mathsf{fma}\left(x1, \mathsf{fma}\left(4, x2 \cdot \mathsf{fma}\left(x2, 2, -3\right), -2\right), \mathsf{fma}\left(x2, -6, {\left(x1 \cdot 3\right)}^{2}\right)\right)\right)}^{3}}} \]
      Step-by-step derivation

      [Start] 88.5	\[ x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(\left(3 \cdot x1\right) \cdot x1\right)\right)\right) \]
      add-cbrt-cube [=>] 100.0	\[ x1 + \color{blue}{\sqrt[3]{\left(\left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(\left(3 \cdot x1\right) \cdot x1\right)\right)\right) \cdot \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(\left(3 \cdot x1\right) \cdot x1\right)\right)\right)\right) \cdot \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(\left(3 \cdot x1\right) \cdot x1\right)\right)\right)}} \]
      pow3 [=>] 100.0	\[ x1 + \sqrt[3]{\color{blue}{{\left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + \left(-6 \cdot x2 + 3 \cdot \left(\left(3 \cdot x1\right) \cdot x1\right)\right)\right)}^{3}}} \]

3. Recombined 3 regimes into one program.

4. Final simplification 99.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x1 \leq -5 \cdot 10^{+153}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq 2 \cdot 10^{+82}:\\ \;\;\;\;x1 + \mathsf{fma}\left(3, \frac{x1 \cdot \left(x1 \cdot 3\right)}{\mathsf{fma}\left(x1, x1, 1\right)} - \frac{\mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}, \mathsf{fma}\left(x1, x1 \cdot \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{\mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \sqrt[3]{{\left(\mathsf{fma}\left(x1, \mathsf{fma}\left(4, x2 \cdot \mathsf{fma}\left(x2, 2, -3\right), -2\right), \mathsf{fma}\left(x2, -6, {\left(x1 \cdot 3\right)}^{2}\right)\right)\right)}^{3}}\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	99.4%
Cost	95112

\[\begin{array}{l} t_0 := \mathsf{fma}\left(x1, x1 \cdot 3, \mathsf{fma}\left(2, x2, -x1\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+153}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq 10^{+81}:\\ \;\;\;\;x1 + \mathsf{fma}\left(3, \frac{x1 \cdot \left(x1 \cdot 3\right) - \mathsf{fma}\left(2, x2, x1\right)}{\mathsf{fma}\left(x1, x1, 1\right)}, \mathsf{fma}\left(x1, x1 \cdot \frac{t_0}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{3}}, \mathsf{fma}\left(x1, x1, 1\right) \cdot \left(x1 + \left(x1 \cdot \left(x1 \cdot -6\right) + \frac{t_0}{\mathsf{fma}\left(x1, x1, 1\right)} \cdot \left(x1 \cdot \left(-6 + \frac{t_0}{\frac{\mathsf{fma}\left(x1, x1, 1\right)}{2}}\right) + \left(x1 \cdot x1\right) \cdot 4\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \sqrt[3]{{\left(\mathsf{fma}\left(x1, \mathsf{fma}\left(4, x2 \cdot \mathsf{fma}\left(x2, 2, -3\right), -2\right), \mathsf{fma}\left(x2, -6, {\left(x1 \cdot 3\right)}^{2}\right)\right)\right)}^{3}}\\ \end{array} \]

Alternative 2
Accuracy	98.9%
Cost	46284

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := x1 \cdot x1 + 1\\ t_2 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_1}\\ t_3 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_1}\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(\left(x1 + {x1}^{4} \cdot 6\right) + t_2\right)\\ \mathbf{elif}\;x1 \leq 10^{+83}:\\ \;\;\;\;x1 + \left(t_2 + \left(x1 + \left(\left(t_1 \cdot \left(\left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_3 - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\right) + t_0 \cdot t_3\right) + x1 \cdot \left(x1 \cdot x1\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \sqrt[3]{{\left(\mathsf{fma}\left(x1, \mathsf{fma}\left(4, x2 \cdot \mathsf{fma}\left(x2, 2, -3\right), -2\right), \mathsf{fma}\left(x2, -6, {\left(x1 \cdot 3\right)}^{2}\right)\right)\right)}^{3}}\\ \end{array} \]

Alternative 3
Accuracy	98.9%
Cost	8524

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot x1\right)\\ t_1 := x1 \cdot \left(x1 \cdot 3\right)\\ t_2 := x1 \cdot x1 + 1\\ t_3 := 3 \cdot \frac{\left(t_1 - 2 \cdot x2\right) - x1}{t_2}\\ t_4 := \frac{\left(t_1 + 2 \cdot x2\right) - x1}{t_2}\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(\left(x1 + {x1}^{4} \cdot 6\right) + t_3\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + \left(\left(t_2 \cdot \left(\left(\left(x1 \cdot 2\right) \cdot t_4\right) \cdot \left(t_4 - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_4 - 6\right)\right) + t_1 \cdot t_4\right) + t_0\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_0 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 4
Accuracy	95.1%
Cost	8392

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := x1 \cdot x1 + 1\\ t_2 := x1 \cdot \left(x1 \cdot x1\right)\\ t_3 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_1}\\ \mathbf{if}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(2 \cdot \left(1 + 3 \cdot \left(2 \cdot x2 - 3\right)\right) - 6\right) \cdot {x1}^{3}\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_1} + \left(x1 + \left(\left(t_1 \cdot \left(\left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_3 - 3\right) + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\right) + t_0 \cdot t_3\right) + t_2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_2 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 5
Accuracy	94.7%
Cost	7940

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot x1\right)\\ t_1 := x1 \cdot \left(x1 \cdot 3\right)\\ t_2 := x1 \cdot x1 + 1\\ t_3 := \frac{\left(t_1 + 2 \cdot x2\right) - x1}{t_2}\\ t_4 := \left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_3 - 3\right)\\ t_5 := t_1 \cdot t_3\\ t_6 := x1 + \left(9 + \left(x1 + \left(\left(t_2 \cdot \left(t_4 + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\right) + t_5\right) + t_0\right)\right)\right)\\ \mathbf{if}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(2 \cdot \left(1 + 3 \cdot \left(2 \cdot x2 - 3\right)\right) - 6\right) \cdot {x1}^{3}\right)\right)\\ \mathbf{elif}\;x1 \leq -0.82:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;x1 + \left(3 \cdot \frac{\left(t_1 - 2 \cdot x2\right) - x1}{t_2} + \left(x1 + \left(t_0 + \left(t_5 + t_2 \cdot \left(t_4 + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \left(2 \cdot x2 - x1\right) - 6\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_0 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 6
Accuracy	96.4%
Cost	7888

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := x1 \cdot x1 + 1\\ t_2 := x1 \cdot \left(x1 \cdot x1\right)\\ t_3 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_1}\\ t_4 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_1}\\ t_5 := t_0 \cdot t_4\\ t_6 := \left(\left(x1 \cdot 2\right) \cdot t_4\right) \cdot \left(t_4 - 3\right)\\ t_7 := x1 + \left(9 + \left(x1 + \left(\left(t_1 \cdot \left(t_6 + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_4 - 6\right)\right) + t_5\right) + t_2\right)\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -0.82:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + \left(t_2 + \left(t_5 + t_1 \cdot \left(t_6 + \left(x1 \cdot x1\right) \cdot \left(4 \cdot \left(2 \cdot x2 - x1\right) - 6\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_2 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 7
Accuracy	94.7%
Cost	7756

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := x1 \cdot x1 + 1\\ t_2 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_1}\\ t_3 := \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_2 - 6\right)\\ t_4 := t_2 - 3\\ t_5 := t_0 \cdot t_2\\ t_6 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_1}\\ t_7 := x1 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 0.0008:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_5 + t_1 \cdot \left(t_3 + t_4 \cdot \left(\left(x1 \cdot 2\right) \cdot \left(2 \cdot x2 - x1\right)\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(\left(t_1 \cdot \left(\left(\left(x1 \cdot 2\right) \cdot t_2\right) \cdot t_4 + t_3\right) + t_5\right) + t_7\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 8
Accuracy	96.3%
Cost	7636

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := 2 \cdot x2 - x1\\ t_2 := x1 \cdot x1 + 1\\ t_3 := x1 \cdot \left(x1 \cdot x1\right)\\ t_4 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_2}\\ t_5 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_2}\\ t_6 := \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_5 - 6\right)\\ t_7 := \left(x1 \cdot 2\right) \cdot t_5\\ t_8 := x1 + \left(9 + \left(x1 + \left(\left(t_2 \cdot \left(t_7 \cdot \left(t_5 - 3\right) + t_6\right) + t_0 \cdot t_5\right) + t_3\right)\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_4 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -0.1:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;x1 + \left(t_4 + \left(x1 + \left(t_3 + \left(t_2 \cdot \left(t_6 + t_7 \cdot \left(t_1 - 3\right)\right) + t_0 \cdot t_1\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_3 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 9
Accuracy	92.2%
Cost	7120

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := 2 \cdot x2 - x1\\ t_2 := x1 \cdot x1 + 1\\ t_3 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_2}\\ t_4 := \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\\ t_5 := t_0 \cdot t_3\\ t_6 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_2}\\ t_7 := x1 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -1.05 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -1.16 \cdot 10^{+23}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(t_4 + \left(t_3 - 3\right) \cdot \left(\left(x1 \cdot 2\right) \cdot t_1\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1750000:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(\left(x1 \cdot x1\right) \cdot \left(4 \cdot t_1 - 6\right) + \left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_1 - 3\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(x1 \cdot 2 + t_4\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 10
Accuracy	92.9%
Cost	7120

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := 2 \cdot x2 - x1\\ t_2 := x1 \cdot x1 + 1\\ t_3 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_2}\\ t_4 := \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\\ t_5 := t_0 \cdot t_3\\ t_6 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_2}\\ t_7 := x1 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -0.75:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(t_4 + \left(t_3 - 3\right) \cdot \left(\left(x1 \cdot 2\right) \cdot t_1\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1650000:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_2 \cdot \left(t_4 + \left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_1 - 3\right)\right) + t_0 \cdot t_1\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(x1 \cdot 2 + t_4\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 11
Accuracy	92.9%
Cost	6604

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := 2 \cdot x2 - x1\\ t_2 := x1 \cdot x1 + 1\\ t_3 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_2}\\ t_4 := \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\\ t_5 := t_0 \cdot t_3\\ t_6 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_2}\\ t_7 := x1 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -0.75:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(t_4 + \left(t_3 - 3\right) \cdot \left(\left(x1 \cdot 2\right) \cdot t_1\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 11500000:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_0 \cdot t_1 + t_2 \cdot \left(\left(x1 \cdot x1\right) \cdot \left(4 \cdot t_1 - 6\right) + \left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_1 - 3\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(t_6 + \left(x1 + \left(t_7 + \left(t_5 + t_2 \cdot \left(x1 \cdot 2 + t_4\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_7 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 12
Accuracy	91.9%
Cost	6356

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := x1 \cdot x1 + 1\\ t_2 := \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_1}\\ t_3 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_1}\\ t_4 := x1 \cdot \left(x1 \cdot x1\right)\\ t_5 := x1 + \left(t_3 + \left(x1 + \left(t_4 + \left(t_0 \cdot t_2 + t_1 \cdot \left(x1 \cdot 2 + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_2 - 6\right)\right)\right)\right)\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -3.4 \cdot 10^{+34}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x1 \leq 5400000:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_4 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 13
Accuracy	92.4%
Cost	6356

\[\begin{array}{l} t_0 := 2 \cdot x2 - x1\\ t_1 := x1 \cdot \left(x1 \cdot 3\right)\\ t_2 := x1 \cdot x1 + 1\\ t_3 := \frac{\left(t_1 + 2 \cdot x2\right) - x1}{t_2}\\ t_4 := 3 \cdot \frac{\left(t_1 - 2 \cdot x2\right) - x1}{t_2}\\ t_5 := x1 \cdot \left(x1 \cdot x1\right)\\ t_6 := x1 + \left(t_4 + \left(x1 + \left(t_5 + \left(t_1 \cdot t_3 + t_2 \cdot \left(x1 \cdot 2 + \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\right)\right)\right)\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_4 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -1.16 \cdot 10^{+23}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x1 \leq 4200000:\\ \;\;\;\;x1 + \left(t_4 + \left(x1 + \left(t_5 + \left(t_1 \cdot t_0 + t_2 \cdot \left(\left(x1 \cdot x1\right) \cdot \left(4 \cdot t_0 - 6\right) + \left(\left(x1 \cdot 2\right) \cdot t_3\right) \cdot \left(t_0 - 3\right)\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_5 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 14
Accuracy	92.2%
Cost	6224

\[\begin{array}{l} t_0 := 2 \cdot x2 - x1\\ t_1 := x1 \cdot \left(x1 \cdot 3\right)\\ t_2 := x1 \cdot x1 + 1\\ t_3 := \frac{\left(t_1 + 2 \cdot x2\right) - x1}{t_2}\\ t_4 := \left(x1 \cdot x1\right) \cdot \left(4 \cdot t_3 - 6\right)\\ t_5 := 3 \cdot \frac{\left(t_1 - 2 \cdot x2\right) - x1}{t_2}\\ t_6 := x1 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -5.8 \cdot 10^{+102}:\\ \;\;\;\;x1 + \left(t_5 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -8.6 \cdot 10^{+26}:\\ \;\;\;\;x1 + \left(t_5 + \left(x1 + \left(t_6 + \left(t_1 \cdot t_3 + t_2 \cdot \left(x1 \cdot 2 + t_4\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;x1 + \left(t_5 + \left(x1 + \left(t_6 + \left(t_1 \cdot t_0 + t_2 \cdot \left(t_4 + \left(t_0 - 3\right) \cdot \left(\left(2 \cdot x2\right) \cdot \left(x1 \cdot 2\right)\right)\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_6 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 15
Accuracy	89.9%
Cost	5204

\[\begin{array}{l} t_0 := x1 \cdot \left(x1 \cdot 3\right)\\ t_1 := 2 \cdot x2 - x1\\ t_2 := x1 \cdot x1 + 1\\ t_3 := 3 \cdot \frac{\left(t_0 - 2 \cdot x2\right) - x1}{t_2}\\ t_4 := x1 \cdot \left(x1 \cdot x1\right)\\ t_5 := x1 + \left(9 + \left(x1 + \left(t_4 + \left(t_0 \cdot t_1 + t_2 \cdot \left(\left(x1 \cdot x1\right) \cdot \left(4 \cdot \frac{\left(t_0 + 2 \cdot x2\right) - x1}{t_2} - 6\right) + \left(t_1 - 3\right) \cdot \left(\left(2 \cdot x2\right) \cdot \left(x1 \cdot 2\right)\right)\right)\right)\right)\right)\right)\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -1.5 \cdot 10^{+100}:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq -3.4 \cdot 10^{+34}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x1 \leq 165000:\\ \;\;\;\;x1 + \left(t_3 + \left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 1.35 \cdot 10^{+101}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(t_4 + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 16
Accuracy	83.3%
Cost	2636

\[\begin{array}{l} \mathbf{if}\;x1 \leq -2.3 \cdot 10^{+156}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -1.08 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;x1 + \left(3 \cdot \frac{\left(x1 \cdot \left(x1 \cdot 3\right) - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1} + \left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(x1 \cdot \left(x1 \cdot x1\right) + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 17
Accuracy	84.7%
Cost	2636

\[\begin{array}{l} t_0 := 3 \cdot \frac{\left(x1 \cdot \left(x1 \cdot 3\right) - 2 \cdot x2\right) - x1}{x1 \cdot x1 + 1}\\ \mathbf{if}\;x1 \leq -5 \cdot 10^{+154}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -2.3 \cdot 10^{+77}:\\ \;\;\;\;x1 + \left(t_0 + \left(x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot \left(x2 - \left(x1 \cdot x1\right) \cdot x2\right)\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;x1 + \left(t_0 + \left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(x1 \cdot \left(x1 \cdot x1\right) + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 18
Accuracy	75.6%
Cost	1876

\[\begin{array}{l} t_0 := x1 + 9 \cdot \left(x1 \cdot x1\right)\\ t_1 := x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + x2 \cdot -6\right)\\ \mathbf{if}\;x1 \leq -2.3 \cdot 10^{+156}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq -7 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq -1.15 \cdot 10^{-145}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x1 \leq 1.9 \cdot 10^{-196}:\\ \;\;\;\;x1 + \left(x1 \cdot -2 + \left(x2 \cdot -6 + 3 \cdot \left(x1 \cdot \left(x1 \cdot 3\right)\right)\right)\right)\\ \mathbf{elif}\;x1 \leq 9 \cdot 10^{+133}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 19
Accuracy	75.4%
Cost	1876

\[\begin{array}{l} t_0 := x1 + 9 \cdot \left(x1 \cdot x1\right)\\ t_1 := x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + x2 \cdot -6\right)\\ \mathbf{if}\;x1 \leq -3 \cdot 10^{+156}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq -7 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq -3.2 \cdot 10^{-212}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x1 \leq 1.06 \cdot 10^{-157}:\\ \;\;\;\;x1 + \left(\left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2\right)\right)\right)\right) + 3 \cdot \left(x2 \cdot -2\right)\right)\\ \mathbf{elif}\;x1 \leq 9 \cdot 10^{+133}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 20
Accuracy	78.4%
Cost	1876

\[\begin{array}{l} t_0 := x1 + \left(x1 \cdot \left(4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right) - 2\right) + x2 \cdot -6\right)\\ \mathbf{if}\;x1 \leq -2.3 \cdot 10^{+156}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -7 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq -4.5 \cdot 10^{-213}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq 8.5 \cdot 10^{-158}:\\ \;\;\;\;x1 + \left(\left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2\right)\right)\right)\right) + 3 \cdot \left(x2 \cdot -2\right)\right)\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(x1 \cdot \left(x1 \cdot x1\right) + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 21
Accuracy	83.2%
Cost	1868

\[\begin{array}{l} \mathbf{if}\;x1 \leq -2.3 \cdot 10^{+156}:\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{elif}\;x1 \leq -6.8 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq 0.00082:\\ \;\;\;\;x1 + \left(\left(x1 + 4 \cdot \left(x2 \cdot \left(x1 \cdot \left(2 \cdot x2 - 3\right)\right)\right)\right) + 3 \cdot \left(x2 \cdot -2 - x1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + \left(x1 \cdot \left(x1 \cdot x1\right) + \left(x2 \cdot x2\right) \cdot \left(x1 \cdot 8\right)\right)\right)\right)\\ \end{array} \]

Alternative 22
Accuracy	68.8%
Cost	1353

\[\begin{array}{l} \mathbf{if}\;x2 \leq -5.6 \cdot 10^{+178} \lor \neg \left(x2 \leq 1.05 \cdot 10^{+59}\right):\\ \;\;\;\;x1 + 8 \cdot \left(x2 \cdot \left(x1 \cdot x2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x1 + \left(x1 \cdot -2 + \left(x2 \cdot -6 + 3 \cdot \left(x1 \cdot \left(x1 \cdot 3\right)\right)\right)\right)\\ \end{array} \]

Alternative 23
Accuracy	69.3%
Cost	1352

\[\begin{array}{l} \mathbf{if}\;x2 \leq -5.1 \cdot 10^{+178}:\\ \;\;\;\;x1 + 8 \cdot \left(x2 \cdot \left(x1 \cdot x2\right)\right)\\ \mathbf{elif}\;x2 \leq 1.9 \cdot 10^{+38}:\\ \;\;\;\;x1 + \left(x1 \cdot -2 + \left(x2 \cdot -6 + 3 \cdot \left(x1 \cdot \left(x1 \cdot 3\right)\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x2 \cdot -6 + x1 \cdot \left(2 + 4 \cdot \left(x2 \cdot \left(2 \cdot x2 - 3\right)\right)\right)\\ \end{array} \]

Alternative 24
Accuracy	58.0%
Cost	1236

\[\begin{array}{l} t_0 := x1 + 9 \cdot \left(x1 \cdot x1\right)\\ t_1 := x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot x2\right)\right)\\ \mathbf{if}\;x1 \leq -4.3 \cdot 10^{+86}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq -6.8 \cdot 10^{-14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x1 \leq -4.2 \cdot 10^{-103}:\\ \;\;\;\;x1 + x1 \cdot \left(-2 + x1 \cdot 9\right)\\ \mathbf{elif}\;x1 \leq 6.5 \cdot 10^{-126}:\\ \;\;\;\;x2 \cdot -6\\ \mathbf{elif}\;x1 \leq 9 \cdot 10^{+133}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 25
Accuracy	58.6%
Cost	1236

\[\begin{array}{l} t_0 := x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -1.66 \cdot 10^{+87}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq -7.6 \cdot 10^{-14}:\\ \;\;\;\;x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot x2\right)\right)\\ \mathbf{elif}\;x1 \leq -1.8 \cdot 10^{-103}:\\ \;\;\;\;x1 + x1 \cdot \left(-2 + x1 \cdot 9\right)\\ \mathbf{elif}\;x1 \leq 1.85 \cdot 10^{-125}:\\ \;\;\;\;x2 \cdot -6\\ \mathbf{elif}\;x1 \leq 9 \cdot 10^{+133}:\\ \;\;\;\;x1 + 8 \cdot \left(x2 \cdot \left(x1 \cdot x2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 26
Accuracy	59.2%
Cost	1236

\[\begin{array}{l} t_0 := x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -2.3 \cdot 10^{+156}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq -6.2 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq -8.8 \cdot 10^{-86}:\\ \;\;\;\;x1 + 8 \cdot \left(x1 \cdot \left(x2 \cdot x2\right)\right)\\ \mathbf{elif}\;x1 \leq 2.4 \cdot 10^{-123}:\\ \;\;\;\;x2 \cdot -6\\ \mathbf{elif}\;x1 \leq 9 \cdot 10^{+133}:\\ \;\;\;\;x1 + 8 \cdot \left(x2 \cdot \left(x1 \cdot x2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 27
Accuracy	58.6%
Cost	1236

\[\begin{array}{l} t_0 := x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{if}\;x1 \leq -2.3 \cdot 10^{+156}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;x1 \leq -7 \cdot 10^{+46}:\\ \;\;\;\;x1 + \left(x1 \cdot x1\right) \cdot \left(9 + x2 \cdot 6\right)\\ \mathbf{elif}\;x1 \leq -3.7 \cdot 10^{-91}:\\ \;\;\;\;x1 + \left(9 + \left(x1 + 8 \cdot \frac{x2}{\frac{x1}{x2}}\right)\right)\\ \mathbf{elif}\;x1 \leq 1.45 \cdot 10^{-123}:\\ \;\;\;\;x2 \cdot -6\\ \mathbf{elif}\;x1 \leq 9 \cdot 10^{+133}:\\ \;\;\;\;x1 + 8 \cdot \left(x2 \cdot \left(x1 \cdot x2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 28
Accuracy	54.3%
Cost	841

\[\begin{array}{l} \mathbf{if}\;x1 \leq -9.4 \cdot 10^{-104} \lor \neg \left(x1 \leq 4.3 \cdot 10^{-66}\right):\\ \;\;\;\;x1 + x1 \cdot \left(-2 + x1 \cdot 9\right)\\ \mathbf{else}:\\ \;\;\;\;x2 \cdot -6\\ \end{array} \]

Alternative 29
Accuracy	50.3%
Cost	713

\[\begin{array}{l} \mathbf{if}\;x1 \leq -5.2 \cdot 10^{+34} \lor \neg \left(x1 \leq 1.25 \cdot 10^{-44}\right):\\ \;\;\;\;x1 + 9 \cdot \left(x1 \cdot x1\right)\\ \mathbf{else}:\\ \;\;\;\;x2 \cdot -6\\ \end{array} \]

Alternative 30
Accuracy	26.0%
Cost	320

\[x1 + x2 \cdot -6 \]

Alternative 31
Accuracy	25.9%
Cost	192

\[x2 \cdot -6 \]

Alternative 32
Accuracy	3.2%
Cost	64

\[x1 \]

Reproduce

herbie shell --seed 2023161 
(FPCore (x1 x2)
  :name "Rosa's FloatVsDoubleBenchmark"
  :precision binary64
  (+ x1 (+ (+ (+ (+ (* (+ (* (* (* 2.0 x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) (- (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)) 3.0)) (* (* x1 x1) (- (* 4.0 (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))) 6.0))) (+ (* x1 x1) 1.0)) (* (* (* 3.0 x1) x1) (/ (- (+ (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0)))) (* (* x1 x1) x1)) x1) (* 3.0 (/ (- (- (* (* 3.0 x1) x1) (* 2.0 x2)) x1) (+ (* x1 x1) 1.0))))))