?

Average Error: 0.0 → 0.0
Time: 1.0min
Precision: binary64
Cost: 27328

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + \mathsf{expm1}\left(\mathsf{log1p}\left(e^{\frac{EDonor + \left(mu + \left(Vef - Ec\right)\right)}{KbT}}\right)\right)} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]
(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 (expm1 (log1p (exp (/ (+ EDonor (+ mu (- Vef Ec))) KbT))))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ Vef Ev) (- 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((-(((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 + expm1(log1p(exp(((EDonor + (mu + (Vef - Ec))) / KbT)))))) + (NaChar / (1.0 + exp((((Vef + Ev) + (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((-(((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.expm1(Math.log1p(Math.exp(((EDonor + (mu + (Vef - Ec))) / KbT)))))) + (NaChar / (1.0 + Math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
}

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

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 + expm1(log1p(exp(Float64(Float64(EDonor + Float64(mu + Float64(Vef - Ec))) / KbT)))))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Vef + Ev) + Float64(EAccept - mu)) / KbT)))))
end

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[Log[1 + N[Exp[N[(N[(EDonor + N[(mu + N[(Vef - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]], $MachinePrecision]] - 1), $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]

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

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

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. Simplified0.0

    \[\leadsto \color{blue}{\frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}} \]
    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-rr0.0

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

  4. Final simplification0.0

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

Alternatives

Alternative 1
Error16.6
Cost15264
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -5.3 \cdot 10^{+191}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -4800000000:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq -4.8 \cdot 10^{-13}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -5.7 \cdot 10^{-92}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 - \frac{Vef \cdot KbT + EDonor \cdot KbT}{-KbT \cdot KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq -2.5 \cdot 10^{-111}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq -8 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 8.2 \cdot 10^{-296}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{-50}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 2
Error22.4
Cost15204
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ t_3 := NdChar + t_0\\ t_4 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(EDonor + mu\right) - Ec}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;Ev \leq -1.55 \cdot 10^{+138}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -220000:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.2 \cdot 10^{-53}:\\ \;\;\;\;\frac{NaChar}{t_2} + \frac{NdChar}{t_2}\\ \mathbf{elif}\;Ev \leq -5.4 \cdot 10^{-108}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -8 \cdot 10^{-205}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq -6.8 \cdot 10^{-290}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 1.6 \cdot 10^{-306}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq 1.8 \cdot 10^{-255}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 7.2 \cdot 10^{-37}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Error23.5
Cost15080
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ t_2 := NdChar + t_0\\ t_3 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -2.8 \cdot 10^{+196}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-78}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-158}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + Vef \cdot \frac{KbT}{EDonor}}{KbT \cdot \frac{KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -1.15 \cdot 10^{-167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -7.6 \cdot 10^{-243}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{-304}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-266}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 3.9 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{-102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{+119}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{t_3} + \frac{NdChar}{t_3}\\ \end{array} \]
Alternative 4
Error21.6
Cost15068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;Ev \leq -4.2 \cdot 10^{+137}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(EDonor + mu\right) - Ec}{KbT}}}\\ \mathbf{elif}\;Ev \leq -250000:\\ \;\;\;\;t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.35 \cdot 10^{-53}:\\ \;\;\;\;\frac{NaChar}{t_2} + \frac{NdChar}{t_2}\\ \mathbf{elif}\;Ev \leq -4.4 \cdot 10^{-108}:\\ \;\;\;\;NdChar + t_1\\ \mathbf{elif}\;Ev \leq -1.12 \cdot 10^{-206}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.32 \cdot 10^{-226}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;Ev \leq -1.35 \cdot 10^{-280}:\\ \;\;\;\;t_1 + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 5
Error21.0
Cost15068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;Ev \leq -5.2 \cdot 10^{+137}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -31000:\\ \;\;\;\;t_1 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.75 \cdot 10^{-53}:\\ \;\;\;\;\frac{NaChar}{t_2} + \frac{NdChar}{t_2}\\ \mathbf{elif}\;Ev \leq -6 \cdot 10^{-108}:\\ \;\;\;\;NdChar + t_1\\ \mathbf{elif}\;Ev \leq -9.5 \cdot 10^{-206}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq -8.8 \cdot 10^{-219}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{elif}\;Ev \leq -1.55 \cdot 10^{-279}:\\ \;\;\;\;t_1 + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 6
Error18.5
Cost14540
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -5.2 \cdot 10^{+137}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1900000000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq 2.35 \cdot 10^{-302}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 7
Error0.0
Cost14528
\[\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} \]
Alternative 8
Error23.7
Cost9960
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ t_2 := NdChar + t_0\\ t_3 := t_0 + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;KbT \leq -5.4 \cdot 10^{+197}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -2.4 \cdot 10^{-75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-158}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -2.05 \cdot 10^{-168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-235}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3 \cdot 10^{-303}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{-266}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.26 \cdot 10^{-210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 3.9 \cdot 10^{-102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.85 \cdot 10^{+60}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 9
Error23.7
Cost9960
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ t_2 := NdChar + t_0\\ t_3 := t_0 + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;KbT \leq -2.35 \cdot 10^{+197}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -3.7 \cdot 10^{-77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{-158}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + Vef \cdot \frac{KbT}{EDonor}}{KbT \cdot \frac{KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -1.15 \cdot 10^{-167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -4.4 \cdot 10^{-232}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -6 \cdot 10^{-303}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.12 \cdot 10^{-266}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 2.4 \cdot 10^{-213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 5.2 \cdot 10^{-102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.65 \cdot 10^{+60}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 10
Error24.0
Cost9444
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ t_3 := t_0 + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -1.05 \cdot 10^{+187}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{-151}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -8.4 \cdot 10^{-166}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -4.5 \cdot 10^{-243}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -4.3 \cdot 10^{-304}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-267}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 7.6 \cdot 10^{-211}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.9 \cdot 10^{-102}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 9.2 \cdot 10^{+160}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 11
Error23.6
Cost9444
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + NdChar \cdot 0.5\\ t_3 := t_0 + \frac{NdChar \cdot KbT}{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}\\ \mathbf{if}\;KbT \leq -1.08 \cdot 10^{+186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-158}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -1.3 \cdot 10^{-167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -4.9 \cdot 10^{-241}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-304}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.4 \cdot 10^{-266}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{-210}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.25 \cdot 10^{-102}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{+156}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 12
Error23.4
Cost8668
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -8.2 \cdot 10^{+187}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{-151}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -4.1 \cdot 10^{-303}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-266}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.08 \cdot 10^{-209}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.5 \cdot 10^{-138}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;KbT \leq 5.2 \cdot 10^{+171}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Error22.4
Cost8404
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -3.05 \cdot 10^{+186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-303}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-266}:\\ \;\;\;\;t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-212}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-139}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;KbT \leq 9.2 \cdot 10^{+159}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Error22.4
Cost8280
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + NdChar \cdot \frac{KbT}{EDonor}\\ t_3 := t_0 + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -2.65 \cdot 10^{+187}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{-304}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-266}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.65 \cdot 10^{-188}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-140}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{+163}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 15
Error21.7
Cost8016
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -4 \cdot 10^{+186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{-282}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-267}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{+170}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 16
Error40.4
Cost7896
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{EDonor}{NdChar}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.1 \cdot 10^{-43}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -2.65 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.05 \cdot 10^{-289}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.6 \cdot 10^{-282}:\\ \;\;\;\;t_2 + \frac{NdChar}{\frac{-Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{-135}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 6 \cdot 10^{-11}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 17
Error40.5
Cost7896
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{EDonor}{NdChar}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;KbT \leq -2.5 \cdot 10^{-43}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.65 \cdot 10^{-236}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.35 \cdot 10^{-290}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.6 \cdot 10^{-288}:\\ \;\;\;\;t_2 - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{-135}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.4 \cdot 10^{-8}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 18
Error22.9
Cost7888
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.2 \cdot 10^{+241}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 2.4 \cdot 10^{-287}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-267}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.08 \cdot 10^{+175}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 19
Error41.3
Cost7764
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{t_0} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -9.5 \cdot 10^{-56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.1 \cdot 10^{-251}:\\ \;\;\;\;\frac{NaChar}{t_0} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.05 \cdot 10^{-85}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{elif}\;NdChar \leq 5.5 \cdot 10^{+102}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.45 \cdot 10^{+253}:\\ \;\;\;\;\frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 20
Error41.2
Cost7764
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{t_0} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -1 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 3 \cdot 10^{-247}:\\ \;\;\;\;\frac{NaChar}{t_0} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 3.7 \cdot 10^{-77}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \mathbf{elif}\;NdChar \leq 2.85 \cdot 10^{+107}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.45 \cdot 10^{+253}:\\ \;\;\;\;\frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Error41.2
Cost7764
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{t_0}\\ t_2 := \frac{NdChar}{t_0} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -7.2 \cdot 10^{-59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 3 \cdot 10^{-281}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 7 \cdot 10^{-83}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \mathbf{elif}\;NdChar \leq 7.6 \cdot 10^{+111}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.45 \cdot 10^{+253}:\\ \;\;\;\;\frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 22
Error39.0
Cost7632
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -3.1 \cdot 10^{-27}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.5 \cdot 10^{-218}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 2.9 \cdot 10^{-58}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 6.2 \cdot 10^{+99}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 23
Error39.0
Cost7632
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;NdChar \leq -2.15 \cdot 10^{-61}:\\ \;\;\;\;\frac{NdChar}{t_0} + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 2.8 \cdot 10^{-219}:\\ \;\;\;\;\frac{NaChar}{t_0} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.7 \cdot 10^{-59}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 6.2 \cdot 10^{+99}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 24
Error39.5
Cost7632
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Vef \leq -1.05 \cdot 10^{+84}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 4.4 \cdot 10^{-297}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 3.4 \cdot 10^{-284}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 4.6 \cdot 10^{+26}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 25
Error22.7
Cost7624
\[\begin{array}{l} \mathbf{if}\;KbT \leq -5 \cdot 10^{+244}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 8.4 \cdot 10^{+172}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 26
Error39.4
Cost7500
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Vef \leq -1.55 \cdot 10^{+84}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{-297}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{+23}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 27
Error41.5
Cost7369
\[\begin{array}{l} \mathbf{if}\;KbT \leq 1.26 \cdot 10^{-282} \lor \neg \left(KbT \leq 5.2 \cdot 10^{-5}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 28
Error40.4
Cost7369
\[\begin{array}{l} \mathbf{if}\;Vef \leq -1.75 \cdot 10^{+84} \lor \neg \left(Vef \leq 3.5 \cdot 10^{-295}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 29
Error44.0
Cost1993
\[\begin{array}{l} \mathbf{if}\;KbT \leq -4 \cdot 10^{+79} \lor \neg \left(KbT \leq 0.00025\right):\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 30
Error45.2
Cost1232
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + \frac{Vef}{KbT}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.15 \cdot 10^{+161}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-298}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{-136}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{-8}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \end{array} \]
Alternative 31
Error45.7
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq 4.5 \cdot 10^{-298} \lor \neg \left(KbT \leq 2.9 \cdot 10^{-104}\right):\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{EDonor}\\ \end{array} \]
Alternative 32
Error51.9
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq 5.8 \cdot 10^{-296}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{-107}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{EDonor}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 33
Error51.5
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq 3.7 \cdot 10^{-296}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 2.8 \cdot 10^{-115}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 34
Error52.1
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023039 
(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))))))