Bulmash initializePoisson

Average Error: 0.0 → 0.0

Time: 48.1s

Precision: binary64

Cost: 21120

Math

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

↓

\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + {\left(e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT} \cdot 3}\right)}^{0.3333333333333333}} \]

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 (- Ec Vef))) KbT))))
  (/
   NaChar
   (+
    1.0
    (pow
     (exp (* (/ (+ Ev (+ Vef (- EAccept mu))) KbT) 3.0))
     0.3333333333333333)))))

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 - (Ec - Vef))) / KbT)))) + (NaChar / (1.0 + pow(exp((((Ev + (Vef + (EAccept - mu))) / KbT) * 3.0)), 0.3333333333333333)));
}

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 - (ec - vef))) / kbt)))) + (nachar / (1.0d0 + (exp((((ev + (vef + (eaccept - mu))) / kbt) * 3.0d0)) ** 0.3333333333333333d0)))
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 - (Ec - Vef))) / KbT)))) + (NaChar / (1.0 + Math.pow(Math.exp((((Ev + (Vef + (EAccept - mu))) / KbT) * 3.0)), 0.3333333333333333)));
}

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 - (Ec - Vef))) / KbT)))) + (NaChar / (1.0 + math.pow(math.exp((((Ev + (Vef + (EAccept - mu))) / KbT) * 3.0)), 0.3333333333333333)))

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(Ec - Vef))) / KbT)))) + Float64(NaChar / Float64(1.0 + (exp(Float64(Float64(Float64(Ev + Float64(Vef + Float64(EAccept - mu))) / KbT) * 3.0)) ^ 0.3333333333333333))))
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 - (Ec - Vef))) / KbT)))) + (NaChar / (1.0 + (exp((((Ev + (Vef + (EAccept - mu))) / KbT) * 3.0)) ^ 0.3333333333333333)));
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[(Ec - Vef), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Power[N[Exp[N[(N[(N[(Ev + N[(Vef + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision] * 3.0), $MachinePrecision]], $MachinePrecision], 0.3333333333333333], $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. Applied egg-rr 0.0

   \[\leadsto \frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + \color{blue}{{\left({\left(e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}}} \]

4. Applied egg-rr 0.0

   \[\leadsto \frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + {\color{blue}{\left(e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT} \cdot 3}\right)}}^{0.3333333333333333}} \]

5. Final simplification 0.0

   \[\leadsto \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + {\left(e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT} \cdot 3}\right)}^{0.3333333333333333}} \]

Alternatives

Alternative 1
Error	0.0
Cost	20928

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

Alternative 2
Error	18.5
Cost	15332

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.42 \cdot 10^{+200}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1.95 \cdot 10^{+124}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -4.35 \cdot 10^{-17}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ev \leq -2.4 \cdot 10^{-151}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.55 \cdot 10^{-292}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 1.8 \cdot 10^{-267}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 1.45 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 1.32 \cdot 10^{-195}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq 1.82 \cdot 10^{-140}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 3
Error	14.6
Cost	15200

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_3 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_4 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -3 \cdot 10^{+144}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -2.7 \cdot 10^{-42}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -6 \cdot 10^{-61}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ \mathbf{elif}\;mu \leq -1.22 \cdot 10^{-161}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{-223}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -9.1 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 5.3 \cdot 10^{-174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3.2 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 4
Error	22.4
Cost	15072

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + \left(\left(1 + \frac{mu}{KbT}\right) - \frac{\left(Ec - EDonor\right) - Vef}{KbT}\right)}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -3.9 \cdot 10^{+99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -7.2 \cdot 10^{-77}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -8.2 \cdot 10^{-229}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 8.2 \cdot 10^{-264}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.65 \cdot 10^{-229}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 5.4 \cdot 10^{-154}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 7.5 \cdot 10^{-106}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(1 + 0.5 \cdot \frac{EDonor \cdot EDonor}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 1.5 \cdot 10^{+123}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 5
Error	19.7
Cost	15069

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + \left(\left(1 + \frac{mu}{KbT}\right) - \frac{\left(Ec - EDonor\right) - Vef}{KbT}\right)}\\ t_3 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.15 \cdot 10^{-81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -5.7 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 2.1 \cdot 10^{-263}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 4.6 \cdot 10^{-230}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.2 \cdot 10^{-153} \lor \neg \left(EDonor \leq 7 \cdot 10^{-106}\right) \land EDonor \leq 1.35 \cdot 10^{+123}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Error	15.9
Cost	14936

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.1 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -3.45 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 5.2 \cdot 10^{-166}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.5 \cdot 10^{-144}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.45 \cdot 10^{-109}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(1 + 0.5 \cdot \frac{EDonor \cdot EDonor}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 3.4 \cdot 10^{+84}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 7
Error	14.0
Cost	14672

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.52 \cdot 10^{+106}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 6 \cdot 10^{-276}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 6.2 \cdot 10^{-155}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 0.00016:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 8
Error	27.6
Cost	14552

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -6.5 \cdot 10^{+200}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1.8 \cdot 10^{+120}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(1 + \frac{mu}{KbT}\right) - \frac{\left(Ec - EDonor\right) - Vef}{KbT}\right)}\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{-62}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 2.55 \cdot 10^{-282}:\\ \;\;\;\;t_2 + \frac{NdChar}{\frac{EDonor \cdot \left(1 + \frac{EDonor}{KbT} \cdot 0.5\right)}{KbT} + 2}\\ \mathbf{elif}\;Ev \leq 1.3 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 6.8 \cdot 10^{+223}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 9
Error	0.0
Cost	14528

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

Alternative 10
Error	15.0
Cost	14409

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.5 \cdot 10^{-95} \lor \neg \left(Vef \leq 4.8 \cdot 10^{-35}\right):\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \end{array} \]

Alternative 11
Error	25.6
Cost	9312

\[\begin{array}{l} t_0 := 1 + \frac{EDonor}{KbT} \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + \left(\left(1 + \frac{mu}{KbT}\right) - \frac{\left(Ec - EDonor\right) - Vef}{KbT}\right)}\\ \mathbf{if}\;EDonor \leq -6.2 \cdot 10^{+101}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT} \cdot t_0\right)}\\ \mathbf{elif}\;EDonor \leq -6 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -1.3 \cdot 10^{-226}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 5.8 \cdot 10^{-264}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 4 \cdot 10^{-229}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 4.1 \cdot 10^{-154}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 1.9 \cdot 10^{-106}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(1 + 0.5 \cdot \frac{EDonor \cdot EDonor}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 2.2 \cdot 10^{+163}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NdChar}{\frac{EDonor \cdot t_0}{KbT} + 2}\\ \end{array} \]

Alternative 12
Error	26.2
Cost	9051

\[\begin{array}{l} \mathbf{if}\;mu \leq -9 \cdot 10^{+203} \lor \neg \left(mu \leq -1.9 \cdot 10^{+15}\right) \land \left(mu \leq -4.2 \cdot 10^{-276} \lor \neg \left(mu \leq 9.6 \cdot 10^{+42}\right) \land \left(mu \leq 6 \cdot 10^{+170} \lor \neg \left(mu \leq 1.08 \cdot 10^{+245}\right)\right)\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} + \frac{NdChar}{\frac{EDonor \cdot \left(1 + \frac{EDonor}{KbT} \cdot 0.5\right)}{KbT} + 2}\\ \end{array} \]

Alternative 13
Error	22.3
Cost	8916

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ \mathbf{if}\;NdChar \leq -16000000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -4.2 \cdot 10^{-58}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -3.9 \cdot 10^{-88}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -5.2 \cdot 10^{-117}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(1 + 0.5 \cdot \frac{EDonor \cdot EDonor}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 1.05 \cdot 10^{-107}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 14
Error	39.5
Cost	8556

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2 - \frac{Ec}{KbT}}\\ t_4 := t_0 + t_1\\ t_5 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_6 := t_5 + t_1\\ \mathbf{if}\;EDonor \leq -4.4 \cdot 10^{+104}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -6.2 \cdot 10^{-91}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -1 \cdot 10^{-112}:\\ \;\;\;\;t_2 + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq -1.7 \cdot 10^{-177}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq -1.7 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -3.45 \cdot 10^{-295}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 7.8 \cdot 10^{-200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 5.4 \cdot 10^{-60}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 5 \cdot 10^{+31}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 3.4 \cdot 10^{+103}:\\ \;\;\;\;t_5 + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 4.2 \cdot 10^{+123}:\\ \;\;\;\;\frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT} \cdot \left(1 + \frac{EDonor}{KbT} \cdot 0.5\right)\right)} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]

Alternative 15
Error	22.0
Cost	8521

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -17000000000000 \lor \neg \left(NdChar \leq 1.8 \cdot 10^{-107}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{\left(Ev + EAccept\right) - \left(mu - Vef\right)}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \end{array} \]

Alternative 16
Error	40.3
Cost	8152

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ t_3 := \frac{NdChar}{t_2} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;Ev \leq -1.1 \cdot 10^{+125}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Ev \leq -2.4 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -3.5 \cdot 10^{-145}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -1.65 \cdot 10^{-173}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.15 \cdot 10^{-294}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{t_2}\\ \mathbf{elif}\;Ev \leq 1.4 \cdot 10^{-282}:\\ \;\;\;\;t_1 + \frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq 1.16 \cdot 10^{-113}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{2}\\ \end{array} \]

Alternative 17
Error	23.8
Cost	8137

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.34 \cdot 10^{+60} \lor \neg \left(NdChar \leq 1.8 \cdot 10^{+35}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \end{array} \]

Alternative 18
Error	26.3
Cost	8009

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -4.2 \cdot 10^{+59} \lor \neg \left(NdChar \leq 1.9 \cdot 10^{-107}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 19
Error	38.7
Cost	7888

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{EDonor}{KbT} + 2}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;NdChar \leq -1.1 \cdot 10^{+53}:\\ \;\;\;\;\frac{NdChar}{t_1} + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq -4.8 \cdot 10^{-110}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.35 \cdot 10^{-281}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{t_1}\\ \mathbf{elif}\;NdChar \leq 1.9 \cdot 10^{-104}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]

Alternative 20
Error	29.8
Cost	7753

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.8 \cdot 10^{+21} \lor \neg \left(NdChar \leq 6.6 \cdot 10^{-107}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \end{array} \]

Alternative 21
Error	27.6
Cost	7753

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.05 \cdot 10^{+65} \lor \neg \left(NdChar \leq 4.8 \cdot 10^{+44}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 22
Error	39.4
Cost	7696

\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.6 \cdot 10^{+207}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -1.15 \cdot 10^{-110}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.05 \cdot 10^{-214}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 2.25 \cdot 10^{+36}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 23
Error	39.0
Cost	7696

\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.4 \cdot 10^{+207}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -3 \cdot 10^{-152}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq 3.45 \cdot 10^{-214}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 3.6 \cdot 10^{+33}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 24
Error	34.8
Cost	7688

\[\begin{array}{l} \mathbf{if}\;NdChar \leq -2.9 \cdot 10^{+59}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{-52}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]

Alternative 25
Error	40.8
Cost	7500

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -1.3 \cdot 10^{-97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 8.1 \cdot 10^{-243}:\\ \;\;\;\;\frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT} \cdot \left(1 + \frac{EDonor}{KbT} \cdot 0.5\right)\right)} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;NaChar \leq 1.2 \cdot 10^{-44}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 26
Error	39.9
Cost	7500

\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.4 \cdot 10^{+207}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -1.1 \cdot 10^{-110}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 4.2 \cdot 10^{-214}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 27
Error	41.8
Cost	7369

\[\begin{array}{l} \mathbf{if}\;EDonor \leq 2.2 \cdot 10^{-23} \lor \neg \left(EDonor \leq 9 \cdot 10^{+218}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT} \cdot \left(1 + \frac{EDonor}{KbT} \cdot 0.5\right)\right)} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \end{array} \]

Alternative 28
Error	39.4
Cost	7368

\[\begin{array}{l} \mathbf{if}\;NaChar \leq -3.9 \cdot 10^{-149}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 4.2 \cdot 10^{-214}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]

Alternative 29
Error	46.2
Cost	2628

\[\begin{array}{l} \mathbf{if}\;Ec \leq 1.1 \cdot 10^{-132}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT} \cdot \left(1 + \frac{EDonor}{KbT} \cdot 0.5\right)\right)} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \end{array} \]

Alternative 30
Error	46.3
Cost	320

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

Alternative 31
Error	52.1
Cost	192

\[NdChar \cdot 0.5 \]

Reproduce

herbie shell --seed 2023016 
(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))))))