Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2

Average Error: 0.0 → 0.0

Time: 38.9s

Precision: binary64

Cost: 1344

Math

\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b \]

↓

\[\left(\left(x - \left(z \cdot y - z\right)\right) + a \cdot \left(1 - t\right)\right) + \left(\left(y + t\right) + -2\right) \cdot b \]

FPCore

(FPCore (x y z t a b)
 :precision binary64
 (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))

↓

(FPCore (x y z t a b)
 :precision binary64
 (+ (+ (- x (- (* z y) z)) (* a (- 1.0 t))) (* (+ (+ y t) -2.0) b)))

C

double code(double x, double y, double z, double t, double a, double b) {
	return ((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b);
}

↓

double code(double x, double y, double z, double t, double a, double b) {
	return ((x - ((z * y) - z)) + (a * (1.0 - t))) + (((y + t) + -2.0) * b);
}

Fortran

real(8) function code(x, y, z, t, a, b)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = ((x - ((y - 1.0d0) * z)) - ((t - 1.0d0) * a)) + (((y + t) - 2.0d0) * b)
end function

↓

real(8) function code(x, y, z, t, a, b)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = ((x - ((z * y) - z)) + (a * (1.0d0 - t))) + (((y + t) + (-2.0d0)) * b)
end function

Java

public static double code(double x, double y, double z, double t, double a, double b) {
	return ((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b);
}

↓

public static double code(double x, double y, double z, double t, double a, double b) {
	return ((x - ((z * y) - z)) + (a * (1.0 - t))) + (((y + t) + -2.0) * b);
}

Python

def code(x, y, z, t, a, b):
	return ((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b)

↓

def code(x, y, z, t, a, b):
	return ((x - ((z * y) - z)) + (a * (1.0 - t))) + (((y + t) + -2.0) * b)

Julia

function code(x, y, z, t, a, b)
	return Float64(Float64(Float64(x - Float64(Float64(y - 1.0) * z)) - Float64(Float64(t - 1.0) * a)) + Float64(Float64(Float64(y + t) - 2.0) * b))
end

↓

function code(x, y, z, t, a, b)
	return Float64(Float64(Float64(x - Float64(Float64(z * y) - z)) + Float64(a * Float64(1.0 - t))) + Float64(Float64(Float64(y + t) + -2.0) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b)
	tmp = ((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b);
end

↓

function tmp = code(x, y, z, t, a, b)
	tmp = ((x - ((z * y) - z)) + (a * (1.0 - t))) + (((y + t) + -2.0) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_] := N[(N[(N[(x - N[(N[(y - 1.0), $MachinePrecision] * z), $MachinePrecision]), $MachinePrecision] - N[(N[(t - 1.0), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y + t), $MachinePrecision] - 2.0), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_] := N[(N[(N[(x - N[(N[(z * y), $MachinePrecision] - z), $MachinePrecision]), $MachinePrecision] + N[(a * N[(1.0 - t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y + t), $MachinePrecision] + -2.0), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 0.0

   \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b \]

2. Taylor expanded in y around 0 0.0

   \[\leadsto \left(\left(x - \color{blue}{\left(y \cdot z + -1 \cdot z\right)}\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b \]

3. Simplified 0.0

   \[\leadsto \left(\left(x - \color{blue}{\left(z \cdot y - z\right)}\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b \]
   Proof
   (-.f64 (*.f64 z y) z): 0 points increase in error, 0 points decrease in error
   (-.f64 (Rewrite<= *-commutative_binary64 (*.f64 y z)) z): 0 points increase in error, 0 points decrease in error
   (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 y z) (neg.f64 z))): 0 points increase in error, 0 points decrease in error
   (+.f64 (*.f64 y z) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 z))): 0 points increase in error, 0 points decrease in error

4. Final simplification 0.0

   \[\leadsto \left(\left(x - \left(z \cdot y - z\right)\right) + a \cdot \left(1 - t\right)\right) + \left(\left(y + t\right) + -2\right) \cdot b \]

Alternatives

Alternative 1
Error	37.6
Cost	1904

\[\begin{array}{l} t_1 := a - t \cdot a\\ t_2 := x + t \cdot b\\ t_3 := z - z \cdot y\\ t_4 := x + y \cdot b\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.1092983985635226 \cdot 10^{-88}:\\ \;\;\;\;a + y \cdot b\\ \mathbf{elif}\;z \leq -3.029592954209206 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.92171005850182 \cdot 10^{-239}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -9.563117201602501 \cdot 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.0900332678387627 \cdot 10^{-263}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 9.103955224836737 \cdot 10^{-306}:\\ \;\;\;\;a + b \cdot -2\\ \mathbf{elif}\;z \leq 1.8691273032221093 \cdot 10^{-283}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.6730538370504447 \cdot 10^{-254}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.6722928056084846 \cdot 10^{-217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.4659853771850996 \cdot 10^{-117}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.95 \cdot 10^{+93}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 2
Error	38.7
Cost	1904

\[\begin{array}{l} t_1 := x + t \cdot b\\ t_2 := a + b \cdot -2\\ t_3 := z - z \cdot y\\ t_4 := x + y \cdot b\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.364212156236258 \cdot 10^{-85}:\\ \;\;\;\;a + y \cdot b\\ \mathbf{elif}\;z \leq -1.9023989638617242 \cdot 10^{-198}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;z \leq -8.92171005850182 \cdot 10^{-239}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.0900332678387627 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9.103955224836737 \cdot 10^{-306}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.8691273032221093 \cdot 10^{-283}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.6730538370504447 \cdot 10^{-254}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;z \leq 3.484687566958311 \cdot 10^{-193}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.577806173788769 \cdot 10^{-160}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.3748720601180662 \cdot 10^{-139}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.95 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 3
Error	36.9
Cost	1904

\[\begin{array}{l} t_1 := a + b \cdot \left(y + -2\right)\\ t_2 := x + t \cdot b\\ t_3 := z - z \cdot y\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.364212156236258 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.029592954209206 \cdot 10^{-168}:\\ \;\;\;\;t \cdot \left(b - a\right)\\ \mathbf{elif}\;z \leq -8.92171005850182 \cdot 10^{-239}:\\ \;\;\;\;x + y \cdot b\\ \mathbf{elif}\;z \leq -1.0900332678387627 \cdot 10^{-263}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.0691270939647357 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.6722928056084846 \cdot 10^{-217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.3748720601180662 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.7402279736919165 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.348121168058336 \cdot 10^{-45}:\\ \;\;\;\;a + b \cdot -2\\ \mathbf{elif}\;z \leq 4.625139362445383 \cdot 10^{-36}:\\ \;\;\;\;z \cdot \left(-y\right)\\ \mathbf{elif}\;z \leq 3.95 \cdot 10^{+93}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 4
Error	34.8
Cost	1768

\[\begin{array}{l} t_1 := x + b \cdot \left(t - 2\right)\\ t_2 := t \cdot \left(b - a\right)\\ t_3 := z - z \cdot y\\ \mathbf{if}\;z \leq -1.45 \cdot 10^{+149}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.1041203074840385 \cdot 10^{+71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.364212156236258 \cdot 10^{-85}:\\ \;\;\;\;a + b \cdot \left(y + -2\right)\\ \mathbf{elif}\;z \leq -3.029592954209206 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.92171005850182 \cdot 10^{-239}:\\ \;\;\;\;x + y \cdot b\\ \mathbf{elif}\;z \leq -3.115648540232889 \cdot 10^{-243}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.5302966632305277 \cdot 10^{-278}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.6730538370504447 \cdot 10^{-254}:\\ \;\;\;\;a - t \cdot a\\ \mathbf{elif}\;z \leq 9.4 \cdot 10^{+111}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Error	9.6
Cost	1620

\[\begin{array}{l} t_1 := \left(\left(y + t\right) + -2\right) \cdot b - t \cdot a\\ t_2 := z \cdot \left(1 - y\right)\\ t_3 := a + \left(t_2 + \left(x + b \cdot \left(y + -2\right)\right)\right)\\ \mathbf{if}\;t \leq -6.8 \cdot 10^{+259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq -388841046447759740:\\ \;\;\;\;a \cdot \left(1 - t\right) + \left(x + t_2\right)\\ \mathbf{elif}\;t \leq 3.308617157617542 \cdot 10^{+24}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 9 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.1 \cdot 10^{+172}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 6
Error	44.2
Cost	1508

\[\begin{array}{l} t_1 := y \cdot \left(b - z\right)\\ \mathbf{if}\;a \leq -8.2 \cdot 10^{+110}:\\ \;\;\;\;a\\ \mathbf{elif}\;a \leq -2.902085107648384 \cdot 10^{+37}:\\ \;\;\;\;t \cdot \left(-a\right)\\ \mathbf{elif}\;a \leq -1.364919046851093 \cdot 10^{+33}:\\ \;\;\;\;a\\ \mathbf{elif}\;a \leq -3.023738673622491 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.8352003543640426 \cdot 10^{-260}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq 9.172155637806271 \cdot 10^{-223}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.172028119056141 \cdot 10^{-205}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq 4.84235620809421 \cdot 10^{-176}:\\ \;\;\;\;t \cdot b\\ \mathbf{elif}\;a \leq 7.305065706096023 \cdot 10^{-140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{+86}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;a\\ \end{array} \]

Alternative 7
Error	12.7
Cost	1492

\[\begin{array}{l} t_1 := a \cdot \left(1 - t\right) + \left(x + z \cdot \left(1 - y\right)\right)\\ t_2 := \left(\left(y + t\right) + -2\right) \cdot b - z \cdot y\\ \mathbf{if}\;y \leq -2.45 \cdot 10^{+119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -19.248932196871955:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 44236139474599610:\\ \;\;\;\;a + \left(z + \left(x + b \cdot \left(t - 2\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+120}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2 \cdot 10^{+183}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 8
Error	6.1
Cost	1488

\[\begin{array}{l} t_1 := a \cdot \left(1 - t\right) + \left(z + \left(x + b \cdot \left(t - 2\right)\right)\right)\\ t_2 := a + \left(z \cdot \left(1 - y\right) + \left(x + b \cdot \left(y + -2\right)\right)\right)\\ \mathbf{if}\;t \leq -3 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 6.637049550533277 \cdot 10^{-11}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t \leq 9 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{+134}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 9
Error	37.4
Cost	1376

\[\begin{array}{l} t_1 := x + t \cdot b\\ t_2 := z - z \cdot y\\ t_3 := a + b \cdot -2\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.1092983985635226 \cdot 10^{-88}:\\ \;\;\;\;a + y \cdot b\\ \mathbf{elif}\;z \leq -3.029592954209206 \cdot 10^{-168}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -6.104108917545296 \cdot 10^{-180}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -9.563117201602501 \cdot 10^{-259}:\\ \;\;\;\;x + y \cdot b\\ \mathbf{elif}\;z \leq -1.0900332678387627 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.0691270939647357 \cdot 10^{-252}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.95 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 10
Error	2.4
Cost	1352

\[\begin{array}{l} t_1 := a \cdot \left(1 - t\right)\\ t_2 := \left(\left(x - \left(z \cdot y - z\right)\right) + t_1\right) + y \cdot b\\ \mathbf{if}\;y \leq -104622.06158715278:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 44236139474599610:\\ \;\;\;\;t_1 + \left(z + \left(x + b \cdot \left(t - 2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 11
Error	41.2
Cost	1244

\[\begin{array}{l} t_1 := a + y \cdot b\\ t_2 := z - z \cdot y\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.92171005850182 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.5302966632305277 \cdot 10^{-278}:\\ \;\;\;\;a + b \cdot -2\\ \mathbf{elif}\;z \leq 2.6730538370504447 \cdot 10^{-254}:\\ \;\;\;\;t \cdot \left(-a\right)\\ \mathbf{elif}\;z \leq 2.6722928056084846 \cdot 10^{-217}:\\ \;\;\;\;t \cdot b\\ \mathbf{elif}\;z \leq 1.3748720601180662 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{+92}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 12
Error	40.9
Cost	1244

\[\begin{array}{l} t_1 := a + y \cdot b\\ t_2 := z - z \cdot y\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.92171005850182 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.5302966632305277 \cdot 10^{-278}:\\ \;\;\;\;a + b \cdot -2\\ \mathbf{elif}\;z \leq 2.6730538370504447 \cdot 10^{-254}:\\ \;\;\;\;t \cdot \left(-a\right)\\ \mathbf{elif}\;z \leq 2.6722928056084846 \cdot 10^{-217}:\\ \;\;\;\;b \cdot \left(t - 2\right)\\ \mathbf{elif}\;z \leq 1.3748720601180662 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{+92}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 13
Error	16.3
Cost	1100

\[\begin{array}{l} \mathbf{if}\;y \leq -8.6 \cdot 10^{+93}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{elif}\;y \leq -19.248932196871955:\\ \;\;\;\;\left(x + z\right) - \left(t - 1\right) \cdot a\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+120}:\\ \;\;\;\;a + \left(z + \left(x + b \cdot \left(t - 2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot b - z \cdot y\\ \end{array} \]

Alternative 14
Error	15.8
Cost	1100

\[\begin{array}{l} t_1 := \left(\left(y + t\right) + -2\right) \cdot b - z \cdot y\\ \mathbf{if}\;y \leq -8.6 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -19.248932196871955:\\ \;\;\;\;\left(x + z\right) - \left(t - 1\right) \cdot a\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+120}:\\ \;\;\;\;a + \left(z + \left(x + b \cdot \left(t - 2\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 15
Error	47.7
Cost	984

\[\begin{array}{l} \mathbf{if}\;t \leq -3.9 \cdot 10^{+238}:\\ \;\;\;\;t \cdot b\\ \mathbf{elif}\;t \leq -5.8 \cdot 10^{+48}:\\ \;\;\;\;t \cdot \left(-a\right)\\ \mathbf{elif}\;t \leq -2.1197831786369752 \cdot 10^{-52}:\\ \;\;\;\;x\\ \mathbf{elif}\;t \leq 8.436975614515932 \cdot 10^{-215}:\\ \;\;\;\;a\\ \mathbf{elif}\;t \leq 1.0721243611731997 \cdot 10^{-185}:\\ \;\;\;\;y \cdot b\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{+172}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t \cdot b\\ \end{array} \]

Alternative 16
Error	36.9
Cost	980

\[\begin{array}{l} t_1 := x + y \cdot b\\ t_2 := z - z \cdot y\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.1092983985635226 \cdot 10^{-88}:\\ \;\;\;\;a + y \cdot b\\ \mathbf{elif}\;z \leq -1.0900332678387627 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9.103955224836737 \cdot 10^{-306}:\\ \;\;\;\;a + b \cdot -2\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 17
Error	22.4
Cost	844

\[\begin{array}{l} \mathbf{if}\;b \leq -2.2415838685451047 \cdot 10^{+27}:\\ \;\;\;\;\left(\left(y + t\right) + -2\right) \cdot b\\ \mathbf{elif}\;b \leq 1.0420488997715843 \cdot 10^{-45}:\\ \;\;\;\;\left(x + z\right) - \left(t - 1\right) \cdot a\\ \mathbf{elif}\;b \leq 5.2376907913986906 \cdot 10^{-11}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{else}:\\ \;\;\;\;x + b \cdot \left(t - 2\right)\\ \end{array} \]

Alternative 18
Error	18.0
Cost	840

\[\begin{array}{l} t_1 := x - b \cdot \left(2 - \left(y + t\right)\right)\\ \mathbf{if}\;b \leq -1783607710.8450565:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.528278190328492 \cdot 10^{-50}:\\ \;\;\;\;\left(x + z\right) - \left(t - 1\right) \cdot a\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 19
Error	41.7
Cost	716

\[\begin{array}{l} t_1 := z - z \cdot y\\ \mathbf{if}\;z \leq -4.637105753254294 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.1858574883436628 \cdot 10^{-200}:\\ \;\;\;\;y \cdot \left(b - z\right)\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{+92}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 20
Error	40.0
Cost	716

\[\begin{array}{l} t_1 := z - z \cdot y\\ \mathbf{if}\;z \leq -1.766689149787325 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.3748720601180662 \cdot 10^{-139}:\\ \;\;\;\;a + y \cdot b\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{+92}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 21
Error	44.3
Cost	592

\[\begin{array}{l} \mathbf{if}\;a \leq -1 \cdot 10^{+175}:\\ \;\;\;\;a\\ \mathbf{elif}\;a \leq -2.4286440598834208 \cdot 10^{-259}:\\ \;\;\;\;x\\ \mathbf{elif}\;a \leq 5.316581539441521 \cdot 10^{-283}:\\ \;\;\;\;t \cdot b\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{+86}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;a\\ \end{array} \]

Alternative 22
Error	43.7
Cost	328

\[\begin{array}{l} \mathbf{if}\;a \leq -1 \cdot 10^{+175}:\\ \;\;\;\;a\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{+86}:\\ \;\;\;\;x\\ \mathbf{else}:\\ \;\;\;\;a\\ \end{array} \]

Alternative 23
Error	53.6
Cost	64

\[a \]

Reproduce

herbie shell --seed 2022308 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))