Bulmash initializePoisson

Average Error: 0.0 → 0.0

Time: 60.0s

Precision: binary64

Cost: 27328

Math

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

↓

\[\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\mathsf{log1p}\left(\mathsf{expm1}\left(\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}\right)\right)}} \]

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 (/ (+ Vef (+ mu (- EDonor Ec))) KbT))))
  (/
   NaChar
   (+ 1.0 (exp (log1p (expm1 (/ (+ Ev (+ Vef (- 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(((Vef + (mu + (EDonor - Ec))) / KbT)))) + (NaChar / (1.0 + exp(log1p(expm1(((Ev + (Vef + (EAccept - mu))) / KbT))))));
}

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(((Vef + (mu + (EDonor - Ec))) / KbT)))) + (NaChar / (1.0 + Math.exp(Math.log1p(Math.expm1(((Ev + (Vef + (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(((Vef + (mu + (EDonor - Ec))) / KbT)))) + (NaChar / (1.0 + math.exp(math.log1p(math.expm1(((Ev + (Vef + (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(Vef + Float64(mu + Float64(EDonor - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(log1p(expm1(Float64(Float64(Ev + Float64(Vef + Float64(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[(Vef + N[(mu + N[(EDonor - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[Log[1 + N[(Exp[N[(N[(Ev + N[(Vef + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]] - 1), $MachinePrecision]], $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

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

3. Applied egg-rr 0.0

   \[\leadsto \frac{NdChar}{1 + e^{\frac{Vef + \left(mu - \left(Ec - EDonor\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\color{blue}{\mathsf{log1p}\left(\mathsf{expm1}\left(\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}\right)\right)}}} \]

4. Final simplification 0.0

   \[\leadsto \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\mathsf{log1p}\left(\mathsf{expm1}\left(\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}\right)\right)}} \]

Alternatives

Alternative 1
Error	22.8
Cost	15468

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_3 := t_0 + t_2\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_4\\ t_6 := t_4 + t_1\\ \mathbf{if}\;EDonor \leq -4.376502821789246 \cdot 10^{+200}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq -5.366246191286484 \cdot 10^{-38}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -2.843295016613006 \cdot 10^{-294}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ \mathbf{elif}\;EDonor \leq 2.4906623633768762 \cdot 10^{-219}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 6.0964063194813 \cdot 10^{-105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 3.3494692320368086 \cdot 10^{-95}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 4.7667014467175803 \cdot 10^{-60}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_2\\ \mathbf{elif}\;EDonor \leq 1.3264059950631631 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.4697338515129265 \cdot 10^{+29}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 3.15266283430288 \cdot 10^{+41}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.7758579222022947 \cdot 10^{+102}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 2
Error	29.1
Cost	15012

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{if}\;EAccept \leq -4.450917699976258 \cdot 10^{-97}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_2\\ \mathbf{elif}\;EAccept \leq -2.0631012612293937 \cdot 10^{-237}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;EAccept \leq -4.754529559926794 \cdot 10^{-294}:\\ \;\;\;\;t_1 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{0.5}{\frac{KbT}{mu}}\right)}\\ \mathbf{elif}\;EAccept \leq 8.912958870645741 \cdot 10^{+32}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ \mathbf{elif}\;EAccept \leq 6.645722046651211 \cdot 10^{+67}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 3.0417121558109715 \cdot 10^{+90}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 2.1205359641485512 \cdot 10^{+186}:\\ \;\;\;\;t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;EAccept \leq 2.023910792860522 \cdot 10^{+205}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.429510901473982 \cdot 10^{+285}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 3
Error	16.5
Cost	14936

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.434452763701417 \cdot 10^{+43}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -44104369671.772804:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -4.287460168704769 \cdot 10^{-129}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.8809861494241774 \cdot 10^{-112}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 2792.2417583527767:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 8.80625343559928 \cdot 10^{+117}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 4
Error	15.6
Cost	14804

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;Vef \leq -2.7943906503010905 \cdot 10^{+235}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -3.690719995053295 \cdot 10^{-46}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq -5.834361979817837 \cdot 10^{-300}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 3.503607258141269 \cdot 10^{-209}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 7.096823154045863 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 5
Error	16.3
Cost	14672

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -2.5067289533822065 \cdot 10^{+97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -2.1911748244239718 \cdot 10^{+53}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -9.377605284382152 \cdot 10^{+27}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 7.140501940414889 \cdot 10^{+67}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 6
Error	16.6
Cost	14672

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -1.9490843355013483 \cdot 10^{+194}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -0.2662839437587248:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.364207125294905 \cdot 10^{-114}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.5201819881482123 \cdot 10^{+47}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1 + t_2\\ \end{array} \]

Alternative 7
Error	0.0
Cost	14528

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

Alternative 8
Error	27.5
Cost	14420

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;mu \leq -3.6648917569473244 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -4.034471420056692 \cdot 10^{-135}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.2781428600992104 \cdot 10^{-216}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 2.553983842045802 \cdot 10^{-304}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 4.50791958373829 \cdot 10^{-181}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.3238514809516052 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.2840487264467966 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.3122716693173063 \cdot 10^{+220}:\\ \;\;\;\;t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot \left(0.5 + \frac{mu}{KbT} \cdot 0.16666666666666666\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \end{array} \]

Alternative 9
Error	17.3
Cost	14412

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;mu \leq -1107700717592678500:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 1.364207125294905 \cdot 10^{-114}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.9241467487833743 \cdot 10^{+136}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 10
Error	26.9
Cost	10356

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot \left(0.5 + \frac{mu}{KbT} \cdot 0.16666666666666666\right)\right)}\\ t_4 := t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;mu \leq -6.122979395309672 \cdot 10^{+224}:\\ \;\;\;\;t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{0.5}{\frac{KbT}{mu}}\right)}\\ \mathbf{elif}\;mu \leq -3.7467371846788343 \cdot 10^{+171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -0.0013172821763514672:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -3.66212674649581 \cdot 10^{-41}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ \mathbf{elif}\;mu \leq -3.6648917569473244 \cdot 10^{-57}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;mu \leq -4.034471420056692 \cdot 10^{-135}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -2.2781428600992104 \cdot 10^{-216}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 2.253186612681557 \cdot 10^{-303}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 4.50791958373829 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.3238514809516052 \cdot 10^{-155}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.2840487264467966 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.3122716693173063 \cdot 10^{+220}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 2.6190919186606636 \cdot 10^{+260}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	29.7
Cost	9708

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_4 := t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{0.5}{\frac{KbT}{mu}}\right)}\\ \mathbf{if}\;Ev \leq -8.156662323174153 \cdot 10^{+226}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + \left(1 - \frac{EDonor}{KbT} \cdot \left(-1 + \frac{EDonor}{KbT} \cdot -0.5\right)\right)}\\ \mathbf{elif}\;Ev \leq -1.7820991510132456 \cdot 10^{+162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.3062678792014753 \cdot 10^{+141}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -7.469782800429447 \cdot 10^{+47}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Ev \leq -1.8925947674953877 \cdot 10^{+21}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -1.454724304723082 \cdot 10^{-41}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -2.1379228412414623 \cdot 10^{-121}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -4.237318423180948 \cdot 10^{-176}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -5.935211147938793 \cdot 10^{-263}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 1.692989968314288 \cdot 10^{-297}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 1.6535763594222515 \cdot 10^{-143}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 12
Error	27.8
Cost	9704

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_5 := t_3 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{0.5}{\frac{KbT}{mu}}\right)}\\ \mathbf{if}\;mu \leq -6.122979395309672 \cdot 10^{+224}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -3.6648917569473244 \cdot 10^{-57}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4.4706913388289263 \cdot 10^{-125}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -2.2781428600992104 \cdot 10^{-216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 3.8213317344323157 \cdot 10^{-296}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 8.854502063818297 \cdot 10^{-186}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.753319344806044 \cdot 10^{-145}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.2840487264467966 \cdot 10^{+158}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 4.3122716693173063 \cdot 10^{+220}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 2.6190919186606636 \cdot 10^{+260}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 13
Error	27.2
Cost	9704

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_4 := t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{0.5}{\frac{KbT}{mu}}\right)}\\ \mathbf{if}\;mu \leq -6.122979395309672 \cdot 10^{+224}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -3.6648917569473244 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -4.034471420056692 \cdot 10^{-135}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.2781428600992104 \cdot 10^{-216}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 2.253186612681557 \cdot 10^{-303}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 4.50791958373829 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.3238514809516052 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.2840487264467966 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.3122716693173063 \cdot 10^{+220}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 2.6190919186606636 \cdot 10^{+260}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 14
Error	27.1
Cost	9696

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;mu \leq -3.6648917569473244 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -4.034471420056692 \cdot 10^{-135}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.2781428600992104 \cdot 10^{-216}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 2.253186612681557 \cdot 10^{-303}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 4.50791958373829 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.3238514809516052 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.2840487264467966 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.3122716693173063 \cdot 10^{+220}:\\ \;\;\;\;t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot \left(0.5 + \frac{mu}{KbT} \cdot 0.16666666666666666\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \end{array} \]

Alternative 15
Error	30.1
Cost	8932

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}}\\ t_3 := t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_4 := t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;Ev \leq -3.1877041182862074 \cdot 10^{+215}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + \left(1 - \frac{EDonor}{KbT} \cdot \left(-1 + \frac{EDonor}{KbT} \cdot -0.5\right)\right)}\\ \mathbf{elif}\;Ev \leq -7.469782800429447 \cdot 10^{+47}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Ev \leq -1.8925947674953877 \cdot 10^{+21}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.454724304723082 \cdot 10^{-41}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -2.1379228412414623 \cdot 10^{-121}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -4.237318423180948 \cdot 10^{-176}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -5.935211147938793 \cdot 10^{-263}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 1.692989968314288 \cdot 10^{-297}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq 1.6535763594222515 \cdot 10^{-143}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 16
Error	39.3
Cost	8416

\[\begin{array}{l} t_0 := \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{if}\;Vef \leq -1.740288349313566 \cdot 10^{+26}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.3781730030397464 \cdot 10^{-120}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -7.607715606455494 \cdot 10^{-255}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.0842362042216309 \cdot 10^{-138}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 3.8989270182436694 \cdot 10^{-132}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 2.5184420728767803 \cdot 10^{+27}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 8.22648801479165 \cdot 10^{+89}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 8.373744611756781 \cdot 10^{+181}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 17
Error	31.9
Cost	8412

\[\begin{array}{l} t_0 := \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -1.122554894515336 \cdot 10^{+74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -15054.219577261432:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -4.754248896919933 \cdot 10^{-79}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -9.102332398461458 \cdot 10^{-134}:\\ \;\;\;\;t_2 + t_0\\ \mathbf{elif}\;NdChar \leq 7.550642620811876 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 4.885339582808398 \cdot 10^{-225}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 8.732121787033352 \cdot 10^{-55}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 18
Error	26.4
Cost	8272

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -7.647813319300517 \cdot 10^{+51}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -15054.219577261432:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -4.754248896919933 \cdot 10^{-79}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.9791995340728932 \cdot 10^{-145}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 19
Error	39.1
Cost	8152

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;Vef \leq -3.690719995053295 \cdot 10^{-46}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -2.3781730030397464 \cdot 10^{-120}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -4.6995527498844753 \cdot 10^{-259}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -2.1035676133490586 \cdot 10^{-279}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq -5.834361979817837 \cdot 10^{-300}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.360593568882636 \cdot 10^{-39}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 20
Error	39.0
Cost	8152

\[\begin{array}{l} t_0 := \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{if}\;Vef \leq -1.740288349313566 \cdot 10^{+26}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq -2.3781730030397464 \cdot 10^{-120}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -7.607715606455494 \cdot 10^{-255}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 1.0842362042216309 \cdot 10^{-138}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 2.5184420728767803 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7.096823154045863 \cdot 10^{+85}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 21
Error	39.1
Cost	8020

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_1\\ \mathbf{if}\;Vef \leq -1.740288349313566 \cdot 10^{+26}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.3781730030397464 \cdot 10^{-120}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;Vef \leq -4.6995527498844753 \cdot 10^{-259}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -5.834361979817837 \cdot 10^{-300}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq 1.360593568882636 \cdot 10^{-39}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 22
Error	28.5
Cost	8016

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -1.122554894515336 \cdot 10^{+74}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -15054.219577261432:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -4.754248896919933 \cdot 10^{-79}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 8.732121787033352 \cdot 10^{-55}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 23
Error	23.9
Cost	8008

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -7.647813319300517 \cdot 10^{+51}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 8.732121787033352 \cdot 10^{-55}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 24
Error	35.4
Cost	7888

\[\begin{array}{l} t_0 := \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -2.9861998048963485 \cdot 10^{+145}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq -1.005115341130901 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;NdChar \leq 8.732121787033352 \cdot 10^{-55}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 0.00010028372844288835:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 25
Error	31.3
Cost	7884

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + \left(EDonor - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.1786091060515726 \cdot 10^{-94}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 9.44271364524326 \cdot 10^{-61}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 214822021.06301996:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \end{array} \]

Alternative 26
Error	39.7
Cost	7764

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;EDonor \leq -1.0693658906205722 \cdot 10^{+167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 7.811994104196898 \cdot 10^{-269}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 4.7667014467175803 \cdot 10^{-60}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 1.895492658703277 \cdot 10^{-18}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq 6.635790309156286 \cdot 10^{+19}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 27
Error	41.3
Cost	7632

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;EDonor \leq -3.945556785376285 \cdot 10^{-48}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -1.3589400821863762 \cdot 10^{-165}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq -6.397005481312085 \cdot 10^{-281}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 741930683859.3595:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]

Alternative 28
Error	40.4
Cost	7624

\[\begin{array}{l} \mathbf{if}\;EAccept \leq 6.412717062705995 \cdot 10^{-281}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq 5.411994021241856 \cdot 10^{+205}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 29
Error	42.7
Cost	7500

\[\begin{array}{l} \mathbf{if}\;KbT \leq -7.860591850646514 \cdot 10^{-262}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 1.2335334151079555 \cdot 10^{-288}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 4.474362677861274 \cdot 10^{-90}:\\ \;\;\;\;\frac{NdChar}{\frac{EDonor}{KbT} + 2} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 30
Error	40.2
Cost	7500

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;EDonor \leq -1.2050984896621134 \cdot 10^{-34}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -1.236951780865949 \cdot 10^{-131}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq 741930683859.3595:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 31
Error	42.0
Cost	7368

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -7.860591850646514 \cdot 10^{-262}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.7665810210619993 \cdot 10^{-204}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 32
Error	46.3
Cost	1992

\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.002432765900499 \cdot 10^{-145}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{elif}\;KbT \leq 1.2335334151079555 \cdot 10^{-288}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{\frac{EDonor}{KbT} + 2} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]

Alternative 33
Error	46.4
Cost	1992

\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.1969846236207478 \cdot 10^{-154}:\\ \;\;\;\;\frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot \left(0.5 + \frac{Ev \cdot 0.16666666666666666}{KbT}\right)\right)\right)} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 1.2335334151079555 \cdot 10^{-288}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{\frac{EDonor}{KbT} + 2} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]

Alternative 34
Error	46.1
Cost	1608

\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.002432765900499 \cdot 10^{-145}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{elif}\;KbT \leq 1.3473750844385888 \cdot 10^{+87}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 35
Error	46.2
Cost	1096

\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.002432765900499 \cdot 10^{-145}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{elif}\;KbT \leq 1.9800472825927794 \cdot 10^{+92}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 36
Error	46.1
Cost	712

\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -6.002432765900499 \cdot 10^{-145}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.7437879836068037 \cdot 10^{+75}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 37
Error	46.1
Cost	320

\[0.5 \cdot \left(NdChar + NaChar\right) \]

Alternative 38
Error	52.2
Cost	192

\[NaChar \cdot 0.5 \]

Reproduce

herbie shell --seed 2022284 
(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))))))