Bulmash initializePoisson

Average Error: 0.0 → 0.0

Time: 1.0min

Precision: binary64

Cost: 14528

Math

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]

↓

\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]

FPCore

(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

↓

(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (+ mu (+ EDonor (- Vef Ec))) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ Vef Ev) (- EAccept mu)) KbT))))))

C

double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}

↓

double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
}

Fortran

real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function

↓

real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((mu + (edonor + (vef - ec))) / kbt)))) + (nachar / (1.0d0 + exp((((vef + ev) + (eaccept - mu)) / kbt))))
end function

Java

public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + Math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}

↓

public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + Math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
}

Python

def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))))

↓

def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))))

Julia

function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(-Float64(Float64(Float64(Ec - Vef) - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Float64(Ev + Vef) + EAccept) + Float64(-mu)) / KbT)))))
end

↓

function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(mu + Float64(EDonor + Float64(Vef - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Vef + Ev) + Float64(EAccept - mu)) / KbT)))))
end

MATLAB

function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end

↓

function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
end

Wolfram

code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[((-N[(N[(N[(Ec - Vef), $MachinePrecision] - EDonor), $MachinePrecision] - mu), $MachinePrecision]) / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(N[(Ev + Vef), $MachinePrecision] + EAccept), $MachinePrecision] + (-mu)), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[(N[(mu + N[(EDonor + N[(Vef - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(Vef + Ev), $MachinePrecision] + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 0.0

   \[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]

2. Simplified 0.0

   \[\leadsto \color{blue}{\frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}} \]
   Proof

   [Start] 0.0	\[ \frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
   neg-sub0 [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{\color{blue}{0 - \left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
   associate--r- [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{\color{blue}{\left(0 - \left(\left(Ec - Vef\right) - EDonor\right)\right) + mu}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
   +-commutative [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{\color{blue}{mu + \left(0 - \left(\left(Ec - Vef\right) - EDonor\right)\right)}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
   sub0-neg [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{mu + \color{blue}{\left(-\left(\left(Ec - Vef\right) - EDonor\right)\right)}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
   sub-neg [<=] 0.0	\[ \frac{NdChar}{1 + e^{\frac{\color{blue}{mu - \left(\left(Ec - Vef\right) - EDonor\right)}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
   associate-+l+ [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\color{blue}{\left(Ev + Vef\right) + \left(EAccept + \left(-mu\right)\right)}}{KbT}}} \]
   +-commutative [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\color{blue}{\left(Vef + Ev\right)} + \left(EAccept + \left(-mu\right)\right)}{KbT}}} \]
   unsub-neg [=>] 0.0	\[ \frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \color{blue}{\left(EAccept - mu\right)}}{KbT}}} \]

3. Final simplification 0.0

   \[\leadsto \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]

Alternatives

Alternative 1
Error	17.9
Cost	15268

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_0\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + t_2\\ t_5 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{if}\;mu \leq -1 \cdot 10^{+223}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -1.46 \cdot 10^{+122}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -0.25:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -6.5 \cdot 10^{-20}:\\ \;\;\;\;\frac{NaChar}{t_1} + \frac{NdChar}{t_1}\\ \mathbf{elif}\;mu \leq -5 \cdot 10^{-93}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -1.58 \cdot 10^{-195}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 650000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 10^{+153}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 2.15 \cdot 10^{+179}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 2
Error	16.6
Cost	15200

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;mu \leq -8 \cdot 10^{+222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -8.8 \cdot 10^{+123}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -0.18:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -7 \cdot 10^{-20}:\\ \;\;\;\;\frac{NaChar}{t_1} + \frac{NdChar}{t_1}\\ \mathbf{elif}\;mu \leq -4 \cdot 10^{-91}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -1.25 \cdot 10^{-147}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 5.6 \cdot 10^{-222}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 7.5 \cdot 10^{+162}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 3
Error	14.5
Cost	15000

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{if}\;mu \leq -4.8 \cdot 10^{+145}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 7.2 \cdot 10^{-287}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.9 \cdot 10^{-104}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 1060000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.9 \cdot 10^{+52}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + \frac{Vef \cdot KbT}{EDonor}}{KbT \cdot \frac{KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 7 \cdot 10^{+160}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 4
Error	14.5
Cost	14672

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.1 \cdot 10^{+114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -3 \cdot 10^{-148}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -4.2 \cdot 10^{-213}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4.6 \cdot 10^{+23}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 5
Error	17.5
Cost	14544

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}\\ t_2 := \frac{NaChar}{t_0} + \frac{NdChar}{t_0}\\ \mathbf{if}\;Vef \leq -7.5 \cdot 10^{+113}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.5 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.35 \cdot 10^{-129}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.1 \cdot 10^{+176}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 6
Error	28.1
Cost	14288

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := 1 - \frac{mu}{KbT}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{if}\;mu \leq -1.75 \cdot 10^{+228}:\\ \;\;\;\;t_2 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -1.85 \cdot 10^{+141}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + t_1}\\ \mathbf{elif}\;mu \leq -8.6 \cdot 10^{+117}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -4.5 \cdot 10^{-132}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{t_0}\\ \mathbf{elif}\;mu \leq -2.2 \cdot 10^{-238}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + EDonor \cdot \frac{KbT + \frac{KbT}{\frac{EDonor}{Vef}}}{KbT \cdot KbT}\right) + 2}\\ \mathbf{elif}\;mu \leq 8.5 \cdot 10^{-271}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 5.1 \cdot 10^{-49}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 0.43:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + \frac{Vef \cdot KbT}{EDonor}}{KbT \cdot \frac{KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 6.2 \cdot 10^{+242}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(t_1 + \frac{mu \cdot 0.5}{\frac{KbT}{\frac{mu}{KbT}}}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 7
Error	17.2
Cost	14281

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;Vef \leq -1.9 \cdot 10^{+113} \lor \neg \left(Vef \leq 1.05 \cdot 10^{+176}\right):\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{t_0}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}\\ \end{array} \]

Alternative 8
Error	28.6
Cost	10608

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + EDonor \cdot \frac{KbT + \frac{KbT}{\frac{EDonor}{Vef}}}{KbT \cdot KbT}\right) + 2}\\ t_3 := 1 - \frac{mu}{KbT}\\ t_4 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -8 \cdot 10^{+227}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.065:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + t_3}\\ \mathbf{elif}\;mu \leq -9.5 \cdot 10^{-32}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;mu \leq -8.5 \cdot 10^{-187}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -5.7 \cdot 10^{-238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4.9 \cdot 10^{-289}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq -1.3 \cdot 10^{-307}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 5.4 \cdot 10^{-270}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 2.35 \cdot 10^{-49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 0.235:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + \frac{Vef \cdot KbT}{EDonor}}{KbT \cdot \frac{KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 5.3 \cdot 10^{+240}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(t_3 + \frac{mu \cdot 0.5}{\frac{KbT}{\frac{mu}{KbT}}}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \end{array} \]

Alternative 9
Error	28.7
Cost	10608

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + EDonor \cdot \frac{KbT + \frac{KbT}{\frac{EDonor}{Vef}}}{KbT \cdot KbT}\right) + 2}\\ t_3 := 1 - \frac{mu}{KbT}\\ t_4 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -1.45 \cdot 10^{+228}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.25:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + t_3}\\ \mathbf{elif}\;mu \leq -6.8 \cdot 10^{-32}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;mu \leq -4.2 \cdot 10^{-182}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -6.5 \cdot 10^{-238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -3.2 \cdot 10^{-305}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq -1.2 \cdot 10^{-307}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 - \frac{Vef \cdot KbT + EDonor \cdot KbT}{-KbT \cdot KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 1.16 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{-270}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 2.15 \cdot 10^{-49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 0.36:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + \frac{Vef \cdot KbT}{EDonor}}{KbT \cdot \frac{KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 9 \cdot 10^{+237}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(t_3 + \frac{mu \cdot 0.5}{\frac{KbT}{\frac{mu}{KbT}}}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \end{array} \]

Alternative 10
Error	28.3
Cost	10228

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_3 := t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + EDonor \cdot \frac{KbT + \frac{KbT}{\frac{EDonor}{Vef}}}{KbT \cdot KbT}\right) + 2}\\ t_4 := 1 - \frac{mu}{KbT}\\ t_5 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -9.5 \cdot 10^{+227}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.116:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + t_4}\\ \mathbf{elif}\;mu \leq -9.7 \cdot 10^{-32}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;mu \leq -2.05 \cdot 10^{-184}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -7.5 \cdot 10^{-238}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.15 \cdot 10^{-292}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq -2.6 \cdot 10^{-307}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 1.16 \cdot 10^{-286}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.85 \cdot 10^{-270}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3 \cdot 10^{-49}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 59000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 4.9 \cdot 10^{+240}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(t_4 + \frac{mu \cdot 0.5}{\frac{KbT}{\frac{mu}{KbT}}}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \end{array} \]

Alternative 11
Error	28.1
Cost	9836

\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_3 := t_1 + \frac{NdChar}{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{t_0 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ t_6 := t_4 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -6.7 \cdot 10^{+73}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{-19}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;KbT \leq -2.6 \cdot 10^{-78}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq -9 \cdot 10^{-106}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -2.85 \cdot 10^{-134}:\\ \;\;\;\;t_4 + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-233}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -6.3 \cdot 10^{-288}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-211}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 5.2 \cdot 10^{-146}:\\ \;\;\;\;t_1 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-46}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{+171}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4 + \frac{NaChar}{t_0}\\ \end{array} \]

Alternative 12
Error	29.1
Cost	9836

\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}\\ t_3 := t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{t_0 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ t_6 := \frac{Ev}{KbT} + 2\\ \mathbf{if}\;KbT \leq -6.8 \cdot 10^{+60}:\\ \;\;\;\;t_4 + \frac{NaChar}{t_6 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -1.12 \cdot 10^{-20}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;KbT \leq -1.6 \cdot 10^{-78}:\\ \;\;\;\;t_4 + \frac{NaChar}{t_6}\\ \mathbf{elif}\;KbT \leq -8.4 \cdot 10^{-106}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{-138}:\\ \;\;\;\;t_4 + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-234}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -7.8 \cdot 10^{-288}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{-234}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{-211}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{-146}:\\ \;\;\;\;t_1 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 6 \cdot 10^{-46}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 1.82 \cdot 10^{+171}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4 + \frac{NaChar}{t_0}\\ \end{array} \]

Alternative 13
Error	28.6
Cost	9833

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ t_4 := 1 - \frac{mu}{KbT}\\ t_5 := t_2 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -1.35 \cdot 10^{+228}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.07:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + t_4}\\ \mathbf{elif}\;mu \leq -1.95 \cdot 10^{-32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.2 \cdot 10^{-307}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 1.65 \cdot 10^{-286}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.26 \cdot 10^{-269}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 3 \cdot 10^{-47}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 4.2 \lor \neg \left(mu \leq 1.6 \cdot 10^{+241}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(t_4 + \frac{mu \cdot 0.5}{\frac{KbT}{\frac{mu}{KbT}}}\right)}\\ \end{array} \]

Alternative 14
Error	28.2
Cost	9832

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ t_4 := 1 - \frac{mu}{KbT}\\ t_5 := t_2 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -1.5 \cdot 10^{+228}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.065:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + t_4}\\ \mathbf{elif}\;mu \leq -8.2 \cdot 10^{-32}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -1.45 \cdot 10^{-307}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 1.52 \cdot 10^{-286}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.68 \cdot 10^{-270}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 3.15 \cdot 10^{-49}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 4000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.8 \cdot 10^{+242}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(t_4 + \frac{mu \cdot 0.5}{\frac{KbT}{\frac{mu}{KbT}}}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \end{array} \]

Alternative 15
Error	28.3
Cost	9329

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_4 := t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_5 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{if}\;KbT \leq -6.8 \cdot 10^{+73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.85 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.1 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.05 \cdot 10^{-108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-135}:\\ \;\;\;\;t_2 + 2 \cdot \frac{NaChar \cdot \left(KbT \cdot KbT\right)}{mu \cdot mu}\\ \mathbf{elif}\;KbT \leq -2.85 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.25 \cdot 10^{-286}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 4.3 \cdot 10^{-232}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-211}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.86 \cdot 10^{-146}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-46} \lor \neg \left(KbT \leq 7.6 \cdot 10^{+170}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 16
Error	28.3
Cost	9329

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := t_0 + \frac{NdChar}{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_5 := t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -6.7 \cdot 10^{+73}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -2 \cdot 10^{-16}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;KbT \leq -1.06 \cdot 10^{-78}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -3.9 \cdot 10^{-107}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.16 \cdot 10^{-132}:\\ \;\;\;\;t_3 + 2 \cdot \frac{NaChar \cdot \left(KbT \cdot KbT\right)}{mu \cdot mu}\\ \mathbf{elif}\;KbT \leq -1.25 \cdot 10^{-233}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.4 \cdot 10^{-291}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-211}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 3.45 \cdot 10^{-146}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.6 \cdot 10^{-46} \lor \neg \left(KbT \leq 8 \cdot 10^{+170}\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Error	28.3
Cost	9329

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := t_0 + \frac{NdChar}{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_5 := t_3 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -6.8 \cdot 10^{+73}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -5.4 \cdot 10^{-19}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-78}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -3 \cdot 10^{-106}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -3.35 \cdot 10^{-133}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-234}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{-295}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 1.9 \cdot 10^{-233}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-211}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 2.4 \cdot 10^{-146}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{-45} \lor \neg \left(KbT \leq 1.85 \cdot 10^{+171}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 18
Error	30.9
Cost	8800

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + NdChar \cdot 0.5\\ \mathbf{if}\;mu \leq -1.05 \cdot 10^{+228}:\\ \;\;\;\;t_2 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.065:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -9.5 \cdot 10^{-32}:\\ \;\;\;\;t_2 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;mu \leq -1.1 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.95 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1150000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 8.9 \cdot 10^{+254}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NdChar}{\frac{mu}{KbT}}\\ \end{array} \]

Alternative 19
Error	26.5
Cost	8668

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -3 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -5.5 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.6 \cdot 10^{-65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -2.15 \cdot 10^{-117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -4.8 \cdot 10^{-160}:\\ \;\;\;\;t_0 - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;NdChar \leq -1.2 \cdot 10^{-210}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;NdChar \leq 2.45 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 20
Error	35.9
Cost	8545

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;mu \leq -1.4 \cdot 10^{+228}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq -1.1 \cdot 10^{+200}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -2.5 \cdot 10^{+103}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -0.185:\\ \;\;\;\;\frac{NdChar}{t_1} + NaChar \cdot 0.5\\ \mathbf{elif}\;mu \leq -4.4 \cdot 10^{-20}:\\ \;\;\;\;\frac{NaChar}{t_1} + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;mu \leq -1.45 \cdot 10^{-117}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 8.6 \cdot 10^{-214} \lor \neg \left(mu \leq 2.55 \cdot 10^{-79}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \end{array} \]

Alternative 21
Error	23.6
Cost	8404

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -9.5 \cdot 10^{-56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 4.2 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 7.9 \cdot 10^{-25}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 2.2 \cdot 10^{+23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.3 \cdot 10^{+291}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT}}\\ \end{array} \]

Alternative 22
Error	28.7
Cost	8148

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -1.7 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -2.4 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.75 \cdot 10^{-52}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3.2 \cdot 10^{-211}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-56}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 23
Error	40.1
Cost	8092

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{t_0} + \frac{KbT}{\frac{Vef}{NdChar}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;mu \leq -1.75 \cdot 10^{+228}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{+138}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{+124}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -0.125:\\ \;\;\;\;\frac{NdChar}{t_0} + NaChar \cdot 0.5\\ \mathbf{elif}\;mu \leq -2.4 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -2.6 \cdot 10^{-90}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 4.4 \cdot 10^{+260}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 24
Error	40.1
Cost	8092

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;mu \leq -1.06 \cdot 10^{+228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -3.8 \cdot 10^{+138}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -1.15 \cdot 10^{+124}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;mu \leq -0.16:\\ \;\;\;\;\frac{NdChar}{t_0} + NaChar \cdot 0.5\\ \mathbf{elif}\;mu \leq -6 \cdot 10^{-21}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;mu \leq -3.6 \cdot 10^{-94}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.2 \cdot 10^{+261}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 25
Error	28.6
Cost	8016

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -2.4 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.8 \cdot 10^{-114}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -2.9 \cdot 10^{-253}:\\ \;\;\;\;t_0 - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;NdChar \leq 3.7 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 26
Error	40.4
Cost	7828

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;EDonor \leq -3.2 \cdot 10^{+73}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -6.5 \cdot 10^{-5}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq -1.55 \cdot 10^{-241}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 4.4 \cdot 10^{-286}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 1.6 \cdot 10^{-52}:\\ \;\;\;\;\frac{NdChar}{t_0} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]

Alternative 27
Error	39.9
Cost	7828

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;mu \leq -1.32 \cdot 10^{+228}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -9.5 \cdot 10^{+200}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -1.55 \cdot 10^{+183}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -3.35 \cdot 10^{-46}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;mu \leq 1.1 \cdot 10^{+261}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 28
Error	39.0
Cost	7764

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{t_0} + NaChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -3.4 \cdot 10^{+22}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq -1.45 \cdot 10^{-11}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.1 \cdot 10^{-243}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.6 \cdot 10^{-261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 10^{-11}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 29
Error	27.9
Cost	7753

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.2 \cdot 10^{+94} \lor \neg \left(NdChar \leq 6.1 \cdot 10^{-59}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]

Alternative 30
Error	39.1
Cost	7632

\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{t_0} + NaChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -3.1 \cdot 10^{+22}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq -5 \cdot 10^{-11}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.6 \cdot 10^{-241}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.9 \cdot 10^{-55}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 31
Error	39.3
Cost	7369

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -9.6 \cdot 10^{-40} \lor \neg \left(NdChar \leq 8.2 \cdot 10^{-38}\right):\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 32
Error	40.7
Cost	7236

\[\begin{array}{l} \mathbf{if}\;Ev \leq -1 \cdot 10^{-36}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 33
Error	41.3
Cost	7104

\[\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5 \]

Alternative 34
Error	47.1
Cost	1993

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.05 \cdot 10^{-113} \lor \neg \left(NdChar \leq -3.9 \cdot 10^{-265}\right):\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \end{array} \]

Alternative 35
Error	46.3
Cost	448

\[NaChar \cdot 0.5 + \frac{NdChar}{2} \]

Reproduce

herbie shell --seed 2023237 
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
  :name "Bulmash initializePoisson"
  :precision binary64
  (+ (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))