Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, I

Average Error: 3.9 → 2.6

Time: 45.5s

Precision: binary64

Cost: 22468

Math

\[\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)}} \]

↓

\[\begin{array}{l} t_1 := \frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + 0.8333333333333334\right) - \frac{2}{t \cdot 3}\right)\\ \mathbf{if}\;t_1 \leq \infty:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot t_1}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + \left(2 \cdot \frac{\left(\sqrt{a} \cdot z - -0.6666666666666666 \cdot \left(b - c\right)\right) \cdot y}{t} + y\right)}\\ \end{array} \]

FPCore

(FPCore (x y z t a b c)
 :precision binary64
 (/
  x
  (+
   x
   (*
    y
    (exp
     (*
      2.0
      (-
       (/ (* z (sqrt (+ t a))) t)
       (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))))))

↓

(FPCore (x y z t a b c)
 :precision binary64
 (let* ((t_1
         (-
          (/ (* z (sqrt (+ t a))) t)
          (* (- b c) (- (+ a 0.8333333333333334) (/ 2.0 (* t 3.0)))))))
   (if (<= t_1 INFINITY)
     (/ x (+ x (* y (exp (* 2.0 t_1)))))
     (/
      x
      (+
       x
       (+
        (* 2.0 (/ (* (- (* (sqrt a) z) (* -0.6666666666666666 (- b c))) y) t))
        y))))))

C

double code(double x, double y, double z, double t, double a, double b, double c) {
	return x / (x + (y * exp((2.0 * (((z * sqrt((t + a))) / t) - ((b - c) * ((a + (5.0 / 6.0)) - (2.0 / (t * 3.0)))))))));
}

↓

double code(double x, double y, double z, double t, double a, double b, double c) {
	double t_1 = ((z * sqrt((t + a))) / t) - ((b - c) * ((a + 0.8333333333333334) - (2.0 / (t * 3.0))));
	double tmp;
	if (t_1 <= ((double) INFINITY)) {
		tmp = x / (x + (y * exp((2.0 * t_1))));
	} else {
		tmp = x / (x + ((2.0 * ((((sqrt(a) * z) - (-0.6666666666666666 * (b - c))) * y) / t)) + y));
	}
	return tmp;
}

Java

public static double code(double x, double y, double z, double t, double a, double b, double c) {
	return x / (x + (y * Math.exp((2.0 * (((z * Math.sqrt((t + a))) / t) - ((b - c) * ((a + (5.0 / 6.0)) - (2.0 / (t * 3.0)))))))));
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c) {
	double t_1 = ((z * Math.sqrt((t + a))) / t) - ((b - c) * ((a + 0.8333333333333334) - (2.0 / (t * 3.0))));
	double tmp;
	if (t_1 <= Double.POSITIVE_INFINITY) {
		tmp = x / (x + (y * Math.exp((2.0 * t_1))));
	} else {
		tmp = x / (x + ((2.0 * ((((Math.sqrt(a) * z) - (-0.6666666666666666 * (b - c))) * y) / t)) + y));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c):
	return x / (x + (y * math.exp((2.0 * (((z * math.sqrt((t + a))) / t) - ((b - c) * ((a + (5.0 / 6.0)) - (2.0 / (t * 3.0)))))))))

↓

def code(x, y, z, t, a, b, c):
	t_1 = ((z * math.sqrt((t + a))) / t) - ((b - c) * ((a + 0.8333333333333334) - (2.0 / (t * 3.0))))
	tmp = 0
	if t_1 <= math.inf:
		tmp = x / (x + (y * math.exp((2.0 * t_1))))
	else:
		tmp = x / (x + ((2.0 * ((((math.sqrt(a) * z) - (-0.6666666666666666 * (b - c))) * y) / t)) + y))
	return tmp

Julia

function code(x, y, z, t, a, b, c)
	return Float64(x / Float64(x + Float64(y * exp(Float64(2.0 * Float64(Float64(Float64(z * sqrt(Float64(t + a))) / t) - Float64(Float64(b - c) * Float64(Float64(a + Float64(5.0 / 6.0)) - Float64(2.0 / Float64(t * 3.0))))))))))
end

↓

function code(x, y, z, t, a, b, c)
	t_1 = Float64(Float64(Float64(z * sqrt(Float64(t + a))) / t) - Float64(Float64(b - c) * Float64(Float64(a + 0.8333333333333334) - Float64(2.0 / Float64(t * 3.0)))))
	tmp = 0.0
	if (t_1 <= Inf)
		tmp = Float64(x / Float64(x + Float64(y * exp(Float64(2.0 * t_1)))));
	else
		tmp = Float64(x / Float64(x + Float64(Float64(2.0 * Float64(Float64(Float64(Float64(sqrt(a) * z) - Float64(-0.6666666666666666 * Float64(b - c))) * y) / t)) + y)));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a, b, c)
	tmp = x / (x + (y * exp((2.0 * (((z * sqrt((t + a))) / t) - ((b - c) * ((a + (5.0 / 6.0)) - (2.0 / (t * 3.0)))))))));
end

↓

function tmp_2 = code(x, y, z, t, a, b, c)
	t_1 = ((z * sqrt((t + a))) / t) - ((b - c) * ((a + 0.8333333333333334) - (2.0 / (t * 3.0))));
	tmp = 0.0;
	if (t_1 <= Inf)
		tmp = x / (x + (y * exp((2.0 * t_1))));
	else
		tmp = x / (x + ((2.0 * ((((sqrt(a) * z) - (-0.6666666666666666 * (b - c))) * y) / t)) + y));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_] := N[(x / N[(x + N[(y * N[Exp[N[(2.0 * N[(N[(N[(z * N[Sqrt[N[(t + a), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] / t), $MachinePrecision] - N[(N[(b - c), $MachinePrecision] * N[(N[(a + N[(5.0 / 6.0), $MachinePrecision]), $MachinePrecision] - N[(2.0 / N[(t * 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_] := Block[{t$95$1 = N[(N[(N[(z * N[Sqrt[N[(t + a), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] / t), $MachinePrecision] - N[(N[(b - c), $MachinePrecision] * N[(N[(a + 0.8333333333333334), $MachinePrecision] - N[(2.0 / N[(t * 3.0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$1, Infinity], N[(x / N[(x + N[(y * N[Exp[N[(2.0 * t$95$1), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x / N[(x + N[(N[(2.0 * N[(N[(N[(N[(N[Sqrt[a], $MachinePrecision] * z), $MachinePrecision] - N[(-0.6666666666666666 * N[(b - c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * y), $MachinePrecision] / t), $MachinePrecision]), $MachinePrecision] + y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Target

Original	3.9
Target	3.0
Herbie	2.6

\[\begin{array}{l} \mathbf{if}\;t < -2.118326644891581 \cdot 10^{-50}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(\left(a \cdot c + 0.8333333333333334 \cdot c\right) - a \cdot b\right)}}\\ \mathbf{elif}\;t < 5.196588770651547 \cdot 10^{-123}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \frac{\left(z \cdot \sqrt{t + a}\right) \cdot \left(\left(3 \cdot t\right) \cdot \left(a - \frac{5}{6}\right)\right) - \left(\left(\frac{5}{6} + a\right) \cdot \left(3 \cdot t\right) - 2\right) \cdot \left(\left(a - \frac{5}{6}\right) \cdot \left(\left(b - c\right) \cdot t\right)\right)}{\left(\left(t \cdot t\right) \cdot 3\right) \cdot \left(a - \frac{5}{6}\right)}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)}}\\ \end{array} \]

Derivation

1. Split input into 2 regimes

2. if (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (*.f64 t 3))))) < +inf.0

   1. Initial program 0.7

      \[\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)}} \]

   2. Simplified 0.7

      \[\leadsto \color{blue}{\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + 0.8333333333333334\right) - \frac{2}{t \cdot 3}\right)\right)}}} \]
      Proof

      [Start] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-89 [=>] 0.7	\[ \frac{x}{x + y \cdot e^{\color{blue}{2 \cdot \left(\left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right) \cdot \frac{2}{2}\right)}}} \]
      rational_best_oopsla_all_46_json_45_simplify-74 [=>] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \color{blue}{\left(\frac{2}{2} \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}}} \]
      rational_best_oopsla_all_46_json_45_simplify-13 [=>] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \color{blue}{\left(\frac{z \cdot \sqrt{t + a}}{t} \cdot \frac{2}{2} - \frac{2}{2} \cdot \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}}} \]
      metadata-eval [=>] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} \cdot \color{blue}{1} - \frac{2}{2} \cdot \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-52 [=>] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\color{blue}{\frac{z \cdot \sqrt{t + a}}{t}} - \frac{2}{2} \cdot \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-74 [<=] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \color{blue}{\left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right) \cdot \frac{2}{2}}\right)}} \]
      metadata-eval [=>] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right) \cdot \color{blue}{1}\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-52 [=>] 0.7	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \color{blue}{\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)}\right)}} \]

   if +inf.0 < (-.f64 (/.f64 (*.f64 z (sqrt.f64 (+.f64 t a))) t) (*.f64 (-.f64 b c) (-.f64 (+.f64 a (/.f64 5 6)) (/.f64 2 (*.f64 t 3)))))

   1. Initial program 64.0

      \[\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)}} \]

   2. Simplified 64.0

      \[\leadsto \color{blue}{\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + 0.8333333333333334\right) - \frac{2}{t \cdot 3}\right)\right)}}} \]
      Proof

      [Start] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-89 [=>] 64.0	\[ \frac{x}{x + y \cdot e^{\color{blue}{2 \cdot \left(\left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right) \cdot \frac{2}{2}\right)}}} \]
      rational_best_oopsla_all_46_json_45_simplify-74 [=>] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \color{blue}{\left(\frac{2}{2} \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}}} \]
      rational_best_oopsla_all_46_json_45_simplify-13 [=>] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \color{blue}{\left(\frac{z \cdot \sqrt{t + a}}{t} \cdot \frac{2}{2} - \frac{2}{2} \cdot \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}}} \]
      metadata-eval [=>] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} \cdot \color{blue}{1} - \frac{2}{2} \cdot \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-52 [=>] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\color{blue}{\frac{z \cdot \sqrt{t + a}}{t}} - \frac{2}{2} \cdot \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right)\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-74 [<=] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \color{blue}{\left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right) \cdot \frac{2}{2}}\right)}} \]
      metadata-eval [=>] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)\right) \cdot \color{blue}{1}\right)}} \]
      rational_best_oopsla_all_46_json_45_simplify-52 [=>] 64.0	\[ \frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \color{blue}{\left(b - c\right) \cdot \left(\left(a + \frac{5}{6}\right) - \frac{2}{t \cdot 3}\right)}\right)}} \]

   3. Taylor expanded in t around 0 20.1

      \[\leadsto \frac{x}{x + y \cdot e^{2 \cdot \color{blue}{\frac{\sqrt{a} \cdot z - -0.6666666666666666 \cdot \left(b - c\right)}{t}}}} \]

   4. Taylor expanded in t around inf 38.2

      \[\leadsto \frac{x}{x + \color{blue}{\left(2 \cdot \frac{\left(\sqrt{a} \cdot z - -0.6666666666666666 \cdot \left(b - c\right)\right) \cdot y}{t} + y\right)}} \]
3. Recombined 2 regimes into one program.

4. Final simplification 2.6

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + 0.8333333333333334\right) - \frac{2}{t \cdot 3}\right) \leq \infty:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + 0.8333333333333334\right) - \frac{2}{t \cdot 3}\right)\right)}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + \left(2 \cdot \frac{\left(\sqrt{a} \cdot z - -0.6666666666666666 \cdot \left(b - c\right)\right) \cdot y}{t} + y\right)}\\ \end{array} \]

Alternatives

Alternative 1
Error	7.2
Cost	14664

\[\begin{array}{l} \mathbf{if}\;t \leq 1.15 \cdot 10^{-215}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \frac{\sqrt{a} \cdot z - -0.6666666666666666 \cdot \left(b - c\right)}{t}}}\\ \mathbf{elif}\;t \leq 5 \cdot 10^{+41}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(\sqrt{\frac{1}{t}} \cdot z - \left(b - c\right) \cdot \left(0.8333333333333334 - 0.6666666666666666 \cdot \frac{1}{t}\right)\right)}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(-\left(b - c\right) \cdot \left(a + 0.8333333333333334\right)\right)}}\\ \end{array} \]

Alternative 2
Error	9.4
Cost	14148

\[\begin{array}{l} \mathbf{if}\;t \leq 5.8 \cdot 10^{-148}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \frac{\sqrt{a} \cdot z - -0.6666666666666666 \cdot \left(b - c\right)}{t}}}\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-117}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{elif}\;t \leq 0.108:\\ \;\;\;\;\frac{x}{x + y \cdot e^{\frac{b - c}{t} \cdot 1.3333333333333333}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(-\left(b - c\right) \cdot \left(a + 0.8333333333333334\right)\right)}}\\ \end{array} \]

Alternative 3
Error	10.9
Cost	13896

\[\begin{array}{l} \mathbf{if}\;t \leq -4.3 \cdot 10^{-119}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(a \cdot \left(c - b\right)\right)}}\\ \mathbf{elif}\;t \leq -4.5 \cdot 10^{-227}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(\sqrt{a} \cdot \frac{z}{t}\right)}}\\ \mathbf{elif}\;t \leq 0.42:\\ \;\;\;\;\frac{x}{x + y \cdot e^{\frac{b - c}{t} \cdot 1.3333333333333333}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(-\left(b - c\right) \cdot \left(a + 0.8333333333333334\right)\right)}}\\ \end{array} \]

Alternative 4
Error	34.2
Cost	8428

\[\begin{array}{l} t_1 := \frac{x}{x + \left(y + a \cdot \left(y \cdot \left(-2 \cdot \left(b - c\right)\right)\right)\right)}\\ t_2 := \frac{x}{x + e^{-1.6666666666666667 \cdot b} \cdot y}\\ t_3 := \frac{x}{x + e^{1.6666666666666667 \cdot c} \cdot y}\\ \mathbf{if}\;z \leq -6 \cdot 10^{+220}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.1 \cdot 10^{+96}:\\ \;\;\;\;\frac{x}{x + \left(y + c \cdot \left(y \cdot \left(2 \cdot \left(0.8333333333333334 + \left(a - 0.6666666666666666 \cdot \frac{1}{t}\right)\right)\right)\right)\right)}\\ \mathbf{elif}\;z \leq -4 \cdot 10^{+76}:\\ \;\;\;\;1\\ \mathbf{elif}\;z \leq -880:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.25 \cdot 10^{-102}:\\ \;\;\;\;1\\ \mathbf{elif}\;z \leq -7.5 \cdot 10^{-158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.2 \cdot 10^{-224}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{-184}:\\ \;\;\;\;1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-97}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{+62}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{+101}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 5 \cdot 10^{+193}:\\ \;\;\;\;1\\ \mathbf{elif}\;z \leq 4.5 \cdot 10^{+222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{+277}:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 1.3333333333333333 \cdot \frac{b - c}{t}\right)}\\ \end{array} \]

Alternative 5
Error	26.6
Cost	8428

\[\begin{array}{l} t_1 := \frac{x}{x + e^{1.6666666666666667 \cdot c} \cdot y}\\ t_2 := \frac{x}{x + e^{-1.6666666666666667 \cdot b} \cdot y}\\ t_3 := \frac{x}{x + e^{-2 \cdot \left(a \cdot b\right)} \cdot y}\\ \mathbf{if}\;c \leq -3 \cdot 10^{+218}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{-1.3333333333333333 \cdot \frac{c}{t}}}\\ \mathbf{elif}\;c \leq -0.00052:\\ \;\;\;\;1\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-228}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6.5 \cdot 10^{-303}:\\ \;\;\;\;1\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-276}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-123}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 6.7 \cdot 10^{-18}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{\frac{b}{t} \cdot 1.3333333333333333}}\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{+50}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{+128}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{a \cdot \left(c + c\right)}}\\ \mathbf{elif}\;c \leq 10^{+170}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.72 \cdot 10^{+178}:\\ \;\;\;\;\frac{x}{x + \left(y + c \cdot \left(y \cdot \left(2 \cdot \left(0.8333333333333334 + \left(a - 0.6666666666666666 \cdot \frac{1}{t}\right)\right)\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 6
Error	28.0
Cost	8424

\[\begin{array}{l} t_1 := \frac{x}{x + e^{1.6666666666666667 \cdot c} \cdot y}\\ t_2 := \frac{x}{x + e^{-1.6666666666666667 \cdot b} \cdot y}\\ t_3 := \frac{x}{x + y \cdot e^{-1.3333333333333333 \cdot \frac{c}{t}}}\\ \mathbf{if}\;a \leq -2.9 \cdot 10^{+89}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.66 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-197}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-163}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4 \cdot 10^{-157}:\\ \;\;\;\;1\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-103}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{-14}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{\frac{b}{t} \cdot 1.3333333333333333}}\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{+81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+189}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{a \cdot \left(c + c\right)}}\\ \end{array} \]

Alternative 7
Error	31.1
Cost	8296

\[\begin{array}{l} t_1 := \frac{x}{x + e^{1.6666666666666667 \cdot c} \cdot y}\\ t_2 := \frac{x}{x + e^{-1.6666666666666667 \cdot b} \cdot y}\\ \mathbf{if}\;x \leq -4.1 \cdot 10^{+204}:\\ \;\;\;\;\frac{x}{x + \left(y + c \cdot \left(y \cdot \left(2 \cdot \left(0.8333333333333334 + \left(a - 0.6666666666666666 \cdot \frac{1}{t}\right)\right)\right)\right)\right)}\\ \mathbf{elif}\;x \leq -7.6 \cdot 10^{+108}:\\ \;\;\;\;1\\ \mathbf{elif}\;x \leq -1.6 \cdot 10^{+101}:\\ \;\;\;\;\frac{x}{e^{2 \cdot \left(c \cdot a\right)} \cdot y}\\ \mathbf{elif}\;x \leq -3.3 \cdot 10^{-71}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1 \cdot 10^{-109}:\\ \;\;\;\;1\\ \mathbf{elif}\;x \leq -1.16 \cdot 10^{-278}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 6 \cdot 10^{-253}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-101}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+44}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{-1.3333333333333333 \cdot \frac{c}{t}}}\\ \mathbf{elif}\;x \leq 8 \cdot 10^{+257}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 8
Error	29.6
Cost	8292

\[\begin{array}{l} t_1 := \frac{x}{x + e^{-1.6666666666666667 \cdot b} \cdot y}\\ \mathbf{if}\;c \leq -6.8 \cdot 10^{+218}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{-1.3333333333333333 \cdot \frac{c}{t}}}\\ \mathbf{elif}\;c \leq -0.0006:\\ \;\;\;\;1\\ \mathbf{elif}\;c \leq -3 \cdot 10^{-231}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-302}:\\ \;\;\;\;1\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-275}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 4.8 \cdot 10^{-74}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 1.3333333333333333 \cdot \frac{b - c}{t}\right)}\\ \mathbf{elif}\;c \leq 6.8 \cdot 10^{-18}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+43}:\\ \;\;\;\;\frac{x}{x + e^{1.6666666666666667 \cdot c} \cdot y}\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{+102}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{a \cdot \left(c + c\right)}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 2 \cdot \left(c \cdot a\right)\right)}\\ \end{array} \]

Alternative 9
Error	17.6
Cost	8024

\[\begin{array}{l} t_1 := \frac{x}{x + y \cdot e^{2 \cdot \left(a \cdot \left(c - b\right)\right)}}\\ t_2 := \frac{x}{x + y \cdot e^{\frac{b}{t} \cdot 1.3333333333333333}}\\ \mathbf{if}\;t \leq -1.45 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.9 \cdot 10^{-245}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{-162}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{-1.3333333333333333 \cdot \frac{c}{t}}}\\ \mathbf{elif}\;t \leq 0.7:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 6.5 \cdot 10^{+249}:\\ \;\;\;\;\frac{x}{x + e^{\left(b - c\right) \cdot -1.6666666666666667} \cdot y}\\ \mathbf{elif}\;t \leq 9 \cdot 10^{+299}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 10
Error	29.7
Cost	7768

\[\begin{array}{l} t_1 := \frac{x}{x + e^{-1.6666666666666667 \cdot b} \cdot y}\\ \mathbf{if}\;c \leq -0.0009:\\ \;\;\;\;1\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -5 \cdot 10^{-302}:\\ \;\;\;\;1\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{-275}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{-74}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 1.3333333333333333 \cdot \frac{b - c}{t}\right)}\\ \mathbf{elif}\;c \leq 2.4 \cdot 10^{+42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+98}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{elif}\;c \leq 2 \cdot 10^{+200}:\\ \;\;\;\;\frac{x}{x + \left(y + c \cdot \left(y \cdot \left(2 \cdot \left(0.8333333333333334 + \left(a - 0.6666666666666666 \cdot \frac{1}{t}\right)\right)\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 2 \cdot \left(c \cdot a\right)\right)}\\ \end{array} \]

Alternative 11
Error	18.0
Cost	7632

\[\begin{array}{l} t_1 := \frac{x}{x + y \cdot e^{\frac{b}{t} \cdot 1.3333333333333333}}\\ t_2 := \frac{x}{x + e^{\left(b - c\right) \cdot -1.6666666666666667} \cdot y}\\ \mathbf{if}\;t \leq -1.52 \cdot 10^{-266}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.4 \cdot 10^{-162}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{-1.3333333333333333 \cdot \frac{c}{t}}}\\ \mathbf{elif}\;t \leq 0.105:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 12
Error	15.1
Cost	7628

\[\begin{array}{l} \mathbf{if}\;t \leq 0.145:\\ \;\;\;\;\frac{x}{x + y \cdot e^{\frac{b - c}{t} \cdot 1.3333333333333333}}\\ \mathbf{elif}\;t \leq 2.5 \cdot 10^{+249}:\\ \;\;\;\;\frac{x}{x + e^{\left(b - c\right) \cdot -1.6666666666666667} \cdot y}\\ \mathbf{elif}\;t \leq 8 \cdot 10^{+299}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(a \cdot \left(c - b\right)\right)}}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 13
Error	11.3
Cost	7556

\[\begin{array}{l} \mathbf{if}\;t \leq 0.125:\\ \;\;\;\;\frac{x}{x + y \cdot e^{\frac{b - c}{t} \cdot 1.3333333333333333}}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{x + y \cdot e^{2 \cdot \left(-\left(b - c\right) \cdot \left(a + 0.8333333333333334\right)\right)}}\\ \end{array} \]

Alternative 14
Error	32.3
Cost	2268

\[\begin{array}{l} t_1 := 0.6666666666666666 \cdot \frac{1}{t}\\ t_2 := \frac{x}{x + \left(y + a \cdot \left(y \cdot \left(-2 \cdot \left(b - c\right)\right)\right)\right)}\\ t_3 := \frac{x}{x + \left(y + c \cdot \left(y \cdot \left(2 \cdot \left(0.8333333333333334 + \left(a - t_1\right)\right)\right)\right)\right)}\\ \mathbf{if}\;y \leq -3.7 \cdot 10^{+224}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -3 \cdot 10^{+111}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -2.9 \cdot 10^{+31}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{-122}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 4 \cdot 10^{+63}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{+178}:\\ \;\;\;\;\frac{x}{x + \left(y + 2 \cdot \left(\left(t_1 - \left(0.8333333333333334 + a\right)\right) \cdot \left(y \cdot b\right)\right)\right)}\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{+232}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{+274}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 15
Error	31.8
Cost	1884

\[\begin{array}{l} t_1 := \frac{x}{y \cdot \left(-2 \cdot \left(\left(0.8333333333333334 + a\right) \cdot b\right)\right) + \left(x + y\right)}\\ \mathbf{if}\;b \leq -2.75 \cdot 10^{+156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.8 \cdot 10^{+106}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq -6.5 \cdot 10^{+32}:\\ \;\;\;\;\frac{x}{x + -2 \cdot \left(a \cdot \left(y \cdot b\right)\right)}\\ \mathbf{elif}\;b \leq -3.3 \cdot 10^{-146}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 3.15 \cdot 10^{-85}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 1.3333333333333333 \cdot \frac{b - c}{t}\right)}\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+209}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 5.2 \cdot 10^{+255}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 16
Error	31.7
Cost	1884

\[\begin{array}{l} \mathbf{if}\;b \leq -4.5 \cdot 10^{+156}:\\ \;\;\;\;0.5 \cdot \frac{x}{y \cdot \left(\left(0.6666666666666666 \cdot \frac{1}{t} - \left(0.8333333333333334 + a\right)\right) \cdot b\right)}\\ \mathbf{elif}\;b \leq -5 \cdot 10^{+102}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq -3.6 \cdot 10^{+32}:\\ \;\;\;\;\frac{x}{x + -2 \cdot \left(a \cdot \left(y \cdot b\right)\right)}\\ \mathbf{elif}\;b \leq -1.45 \cdot 10^{-146}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{-85}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 1.3333333333333333 \cdot \frac{b - c}{t}\right)}\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+209}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+249}:\\ \;\;\;\;\frac{x}{y \cdot \left(-2 \cdot \left(\left(0.8333333333333334 + a\right) \cdot b\right)\right) + \left(x + y\right)}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 17
Error	31.2
Cost	1628

\[\begin{array}{l} t_1 := \frac{x}{x + -2 \cdot \left(a \cdot \left(y \cdot b\right)\right)}\\ \mathbf{if}\;b \leq -4.5 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.45 \cdot 10^{+106}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq -9 \cdot 10^{+30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6.5 \cdot 10^{-283}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{-108}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 2 \cdot \left(c \cdot a\right)\right)}\\ \mathbf{elif}\;b \leq 6.4 \cdot 10^{+209}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{+241}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 18
Error	31.8
Cost	1628

\[\begin{array}{l} t_1 := \frac{x}{x + -2 \cdot \left(a \cdot \left(y \cdot b\right)\right)}\\ \mathbf{if}\;b \leq -3.5 \cdot 10^{+156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{+108}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq -5 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -3.7 \cdot 10^{-147}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 8 \cdot 10^{-86}:\\ \;\;\;\;\frac{x}{x + y \cdot \left(1 + 1.3333333333333333 \cdot \frac{b - c}{t}\right)}\\ \mathbf{elif}\;b \leq 5.5 \cdot 10^{+209}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 5 \cdot 10^{+241}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 19
Error	30.4
Cost	1364

\[\begin{array}{l} t_1 := \frac{x}{x + -2 \cdot \left(a \cdot \left(y \cdot b\right)\right)}\\ \mathbf{if}\;b \leq -2.5 \cdot 10^{+156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.35 \cdot 10^{+104}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq -9 \cdot 10^{+30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 4.6 \cdot 10^{+209}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq 2.55 \cdot 10^{+241}:\\ \;\;\;\;\frac{x}{x + \frac{y \cdot b}{t} \cdot 1.3333333333333333}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 20
Error	31.7
Cost	1100

\[\begin{array}{l} t_1 := -0.5 \cdot \frac{x}{b \cdot \left(y \cdot \left(0.8333333333333334 + a\right)\right)}\\ \mathbf{if}\;y \leq -4.8 \cdot 10^{+266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.3 \cdot 10^{+90}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{+31}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 21
Error	29.8
Cost	1100

\[\begin{array}{l} t_1 := \frac{x}{x + -2 \cdot \left(a \cdot \left(y \cdot b\right)\right)}\\ \mathbf{if}\;b \leq -7 \cdot 10^{+162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -6 \cdot 10^{+103}:\\ \;\;\;\;1\\ \mathbf{elif}\;b \leq -2.2 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 22
Error	32.0
Cost	972

\[\begin{array}{l} \mathbf{if}\;y \leq -3.8 \cdot 10^{+268}:\\ \;\;\;\;\frac{x}{a \cdot \left(-2 \cdot \left(y \cdot b\right)\right)}\\ \mathbf{elif}\;y \leq -3.2 \cdot 10^{+90}:\\ \;\;\;\;1\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{+31}:\\ \;\;\;\;-0.5 \cdot \frac{x}{y \cdot \left(a \cdot b\right)}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 23
Error	29.9
Cost	708

\[\begin{array}{l} \mathbf{if}\;b \leq -1.4 \cdot 10^{+169}:\\ \;\;\;\;-0.5 \cdot \frac{x}{y \cdot \left(a \cdot b\right)}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 24
Error	31.8
Cost	584

\[\begin{array}{l} \mathbf{if}\;x \leq 1.9 \cdot 10^{-237}:\\ \;\;\;\;1\\ \mathbf{elif}\;x \leq 7.5 \cdot 10^{-107}:\\ \;\;\;\;\frac{x}{x + y}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 25
Error	32.7
Cost	456

\[\begin{array}{l} \mathbf{if}\;x \leq 2 \cdot 10^{-229}:\\ \;\;\;\;1\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{-97}:\\ \;\;\;\;\frac{x}{y}\\ \mathbf{else}:\\ \;\;\;\;1\\ \end{array} \]

Alternative 26
Error	30.6
Cost	64

\[1 \]

Reproduce

herbie shell --seed 2023090 
(FPCore (x y z t a b c)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, I"
  :precision binary64

  :herbie-target
  (if (< t -2.118326644891581e-50) (/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b))))))) (if (< t 5.196588770651547e-123) (/ x (+ x (* y (exp (* 2.0 (/ (- (* (* z (sqrt (+ t a))) (* (* 3.0 t) (- a (/ 5.0 6.0)))) (* (- (* (+ (/ 5.0 6.0) a) (* 3.0 t)) 2.0) (* (- a (/ 5.0 6.0)) (* (- b c) t)))) (* (* (* t t) 3.0) (- a (/ 5.0 6.0))))))))) (/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))))

  (/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))))))