?

Average Error: 0.0 → 0.0
Time: 1.1min
Precision: binary64
Cost: 14528

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
↓
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (+ mu (+ EDonor (- Vef Ec))) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ Vef Ev) (- EAccept mu)) KbT))))))
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
↓
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
}

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

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

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

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

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

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

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

Error?

Try it out?

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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. Final simplification0.0

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

Alternatives

Alternative 1
Error26.2
Cost15673
\[\begin{array}{l} t_0 := \frac{Ev}{KbT} + 2\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Ev \leq -3.2 \cdot 10^{+199}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -5.1 \cdot 10^{+166}:\\ \;\;\;\;t_3 + \frac{NaChar}{t_0}\\ \mathbf{elif}\;Ev \leq -9.5 \cdot 10^{+148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -8.4 \cdot 10^{+139}:\\ \;\;\;\;t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \frac{KbT + EDonor \cdot \frac{KbT}{Vef}}{KbT \cdot \frac{KbT}{Vef}}\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.25 \cdot 10^{+128}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -7.6 \cdot 10^{+80}:\\ \;\;\;\;t_3 + \frac{NaChar}{t_0 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -5.2 \cdot 10^{+44}:\\ \;\;\;\;t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -3.2 \cdot 10^{-37}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)}\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{-179}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -2 \cdot 10^{-293}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq 2.05 \cdot 10^{-278}:\\ \;\;\;\;t_1 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 - \frac{Vef \cdot KbT + EDonor \cdot KbT}{KbT \cdot \left(-KbT\right)}\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq 2.3 \cdot 10^{-170}:\\ \;\;\;\;t_3 + \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 6.8 \cdot 10^{-77} \lor \neg \left(Ev \leq 1.56\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 2
Error26.3
Cost15541
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2 + \frac{Ev \cdot t_1}{KbT}}\\ \mathbf{if}\;Ev \leq -2 \cdot 10^{+259}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -4.45 \cdot 10^{+213}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\frac{mu}{KbT} + \left(1 + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Ev \leq -8 \cdot 10^{+167}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -2.55 \cdot 10^{+128}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -1.5 \cdot 10^{+86}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -8 \cdot 10^{+44}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{-37}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_1}\\ \mathbf{elif}\;Ev \leq -1.9 \cdot 10^{-178}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -3.8 \cdot 10^{-293}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq 9 \cdot 10^{-278}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 - \frac{Vef \cdot KbT + EDonor \cdot KbT}{KbT \cdot \left(-KbT\right)}\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq 9.2 \cdot 10^{-171}:\\ \;\;\;\;t_3 + \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 4.2 \cdot 10^{-74} \lor \neg \left(Ev \leq 0.41\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 3
Error17.1
Cost15465
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NdChar \leq -4.5 \cdot 10^{+175}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -5.1 \cdot 10^{+125}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -1.28 \cdot 10^{+92}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -1.6 \cdot 10^{-75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3.9 \cdot 10^{-240}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -1.9 \cdot 10^{-254}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 10^{-265}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 9.5 \cdot 10^{-91} \lor \neg \left(NdChar \leq 4.3 \cdot 10^{+38}\right) \land NdChar \leq 2 \cdot 10^{+121}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \end{array} \]
Alternative 4
Error15.6
Cost15464
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_5 := t_2 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -1.12 \cdot 10^{+139}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -8.5 \cdot 10^{-47}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -1.9 \cdot 10^{-56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -1.25 \cdot 10^{-131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.2 \cdot 10^{-137}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -7 \cdot 10^{-285}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 5.5 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 2 \cdot 10^{-59}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 9.2 \cdot 10^{+86}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.08 \cdot 10^{+130}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2 + t_4\\ \end{array} \]
Alternative 5
Error24.8
Cost15276
\[\begin{array}{l} t_0 := \frac{Vef}{KbT} + 2\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_0\right)\right) - \frac{mu}{KbT}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_7 := t_6 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.2 \cdot 10^{+216}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -4.7 \cdot 10^{-75}:\\ \;\;\;\;t_5 + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;Vef \leq -3.45 \cdot 10^{-276}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{-259}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 6.5 \cdot 10^{-211}:\\ \;\;\;\;t_6 + t_3\\ \mathbf{elif}\;Vef \leq 3.35 \cdot 10^{-189}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_5\\ \mathbf{elif}\;Vef \leq 5.5 \cdot 10^{-157}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq 1.9 \cdot 10^{-79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 6.1 \cdot 10^{+31}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 3.1 \cdot 10^{+59}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq 3.7 \cdot 10^{+80}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + t_3\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{+165} \lor \neg \left(Vef \leq 1.9 \cdot 10^{+200}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_0}\\ \end{array} \]
Alternative 6
Error22.7
Cost15268
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NaChar \leq -1 \cdot 10^{+103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -2.2 \cdot 10^{-124}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -9.2 \cdot 10^{-206}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -2.55 \cdot 10^{-247}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -6.8 \cdot 10^{-287}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 6.2 \cdot 10^{-212}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NaChar \leq 1.2 \cdot 10^{-180}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 4.1 \cdot 10^{-126}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 185:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 7
Error17.0
Cost15200
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -3.7 \cdot 10^{+139}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -95000000000000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -5 \cdot 10^{-31}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;mu \leq -6.4 \cdot 10^{-52}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq -1.5 \cdot 10^{-127}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 6.6 \cdot 10^{-303}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.4 \cdot 10^{-56}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.1 \cdot 10^{+45}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + t_2\\ \end{array} \]
Alternative 8
Error20.9
Cost15072
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -1.15 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4.8 \cdot 10^{+14}:\\ \;\;\;\;t_4 + t_0\\ \mathbf{elif}\;mu \leq -3 \cdot 10^{+14}:\\ \;\;\;\;t_3 + NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq -3 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -4.3 \cdot 10^{-57}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq -1.85 \cdot 10^{-127}:\\ \;\;\;\;t_4 + t_3\\ \mathbf{elif}\;mu \leq 1.15 \cdot 10^{-220}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.7 \cdot 10^{+135}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 9
Error26.0
Cost15012
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2 + \frac{Ev \cdot t_1}{KbT}}\\ \mathbf{if}\;Ev \leq -1.05 \cdot 10^{+260}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{+213}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\frac{mu}{KbT} + \left(1 + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Ev \leq -3.5 \cdot 10^{+165}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -2.7 \cdot 10^{+128}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -2.5 \cdot 10^{+84}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -8.5 \cdot 10^{+44}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{-37}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_1}\\ \mathbf{elif}\;Ev \leq -1.2 \cdot 10^{-178}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -1.7 \cdot 10^{-291}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq 7.5 \cdot 10^{-278}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 - \frac{Vef \cdot KbT + EDonor \cdot KbT}{KbT \cdot \left(-KbT\right)}\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq 1.02 \cdot 10^{-169}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 10
Error15.6
Cost15004
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.3 \cdot 10^{-52}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -3.7 \cdot 10^{-180}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq -4.5 \cdot 10^{-288}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 3.4 \cdot 10^{-195}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 8.2 \cdot 10^{-119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.4 \cdot 10^{+14}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4.4 \cdot 10^{+119}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 11
Error18.7
Cost14804
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -7.4 \cdot 10^{+21}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -1.5 \cdot 10^{-88}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{-113}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 8.5 \cdot 10^{-246}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 6 \cdot 10^{+156}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 12
Error18.4
Cost14804
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -7.8 \cdot 10^{+26}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -1.9 \cdot 10^{-88}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -2 \cdot 10^{-113}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 4.4 \cdot 10^{-244}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.95 \cdot 10^{+157}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 13
Error25.5
Cost9966
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{Ev \cdot t_1}{KbT}}\\ \mathbf{if}\;Ev \leq -2.5 \cdot 10^{+259}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -4.7 \cdot 10^{+213}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\frac{mu}{KbT} + \left(1 + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Ev \leq -3.7 \cdot 10^{+164}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -3 \cdot 10^{+128}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -3.3 \cdot 10^{+84}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -5.7 \cdot 10^{+48}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -5.3 \cdot 10^{-37}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_1}\\ \mathbf{elif}\;Ev \leq -1.9 \cdot 10^{-177} \lor \neg \left(Ev \leq -1.4 \cdot 10^{-229} \lor \neg \left(Ev \leq 1.3 \cdot 10^{-274}\right) \land Ev \leq 3.7 \cdot 10^{-169}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 14
Error25.6
Cost9966
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2 + \frac{Ev \cdot t_1}{KbT}}\\ \mathbf{if}\;Ev \leq -1.6 \cdot 10^{+259}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -4.3 \cdot 10^{+213}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\frac{mu}{KbT} + \left(1 + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Ev \leq -2.55 \cdot 10^{+167}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -1.95 \cdot 10^{+128}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -1.14 \cdot 10^{+85}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -1.36 \cdot 10^{+45}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.35 \cdot 10^{-37}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_1}\\ \mathbf{elif}\;Ev \leq -2.3 \cdot 10^{-177} \lor \neg \left(Ev \leq -2.8 \cdot 10^{-229}\right) \land \left(Ev \leq 3.5 \cdot 10^{-274} \lor \neg \left(Ev \leq 3.2 \cdot 10^{-169}\right)\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 15
Error25.0
Cost9702
\[\begin{array}{l} t_0 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -5.2 \cdot 10^{+163}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \frac{Ev \cdot t_0}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.6 \cdot 10^{+128}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.4 \cdot 10^{+87}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -3 \cdot 10^{+51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.75 \cdot 10^{-37}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_0}\\ \mathbf{elif}\;Ev \leq -4.5 \cdot 10^{-178} \lor \neg \left(Ev \leq -2.05 \cdot 10^{-228}\right) \land \left(Ev \leq 1.5 \cdot 10^{-262} \lor \neg \left(Ev \leq 2.05 \cdot 10^{-170}\right)\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 16
Error26.9
Cost9316
\[\begin{array}{l} t_0 := \frac{Vef}{KbT} + 2\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_4 := t_1 + \frac{NaChar}{t_0}\\ \mathbf{if}\;Ev \leq -7.6 \cdot 10^{+211}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.16 \cdot 10^{+188}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -5.5 \cdot 10^{+165}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -1.35 \cdot 10^{+128}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.1 \cdot 10^{+87}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -1.76 \cdot 10^{+50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.35 \cdot 10^{-37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{-179}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -2.35 \cdot 10^{-228}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_0\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq 1.9 \cdot 10^{-262} \lor \neg \left(Ev \leq 1.05 \cdot 10^{-166}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 17
Error26.6
Cost9198
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ \mathbf{if}\;Ev \leq -7.6 \cdot 10^{+212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -4 \cdot 10^{+187}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.04 \cdot 10^{+167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -4.3 \cdot 10^{+128}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -6 \cdot 10^{+85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -6.2 \cdot 10^{+50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -7.2 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.85 \cdot 10^{-177} \lor \neg \left(Ev \leq -6.5 \cdot 10^{-229} \lor \neg \left(Ev \leq 2.1 \cdot 10^{-272}\right) \land Ev \leq 8 \cdot 10^{-167}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 18
Error26.9
Cost9066
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ \mathbf{if}\;Ev \leq -1.7 \cdot 10^{+212}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -2.6 \cdot 10^{+168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -9.6 \cdot 10^{+127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.8 \cdot 10^{+89}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -4.6 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -3.2 \cdot 10^{-37}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;Ev \leq -4.2 \cdot 10^{-177} \lor \neg \left(Ev \leq -2 \cdot 10^{-228} \lor \neg \left(Ev \leq 5 \cdot 10^{-269}\right) \land Ev \leq 5.2 \cdot 10^{-166}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 19
Error25.4
Cost9052
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{Vef}{KbT} + 2\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;Ev \leq -7.5 \cdot 10^{+167}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -4.7 \cdot 10^{+128}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -8.4 \cdot 10^{+85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.05 \cdot 10^{+53}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -8.2 \cdot 10^{-38}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{-179}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -2.35 \cdot 10^{-228}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_1\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq 6.8 \cdot 10^{-274} \lor \neg \left(Ev \leq 1.12 \cdot 10^{-166}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{t_1}\\ \end{array} \]
Alternative 20
Error25.3
Cost9052
\[\begin{array}{l} t_0 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_0}\\ t_4 := \frac{Vef}{KbT} + 2\\ \mathbf{if}\;Ev \leq -1.8 \cdot 10^{+166}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \frac{Ev \cdot t_0}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.56 \cdot 10^{+128}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -3.8 \cdot 10^{+84}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -3.5 \cdot 10^{+52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -6.3 \cdot 10^{-37}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -7.5 \cdot 10^{-179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.55 \cdot 10^{-231}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_4\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq 3.8 \cdot 10^{-267} \lor \neg \left(Ev \leq 1.35 \cdot 10^{-166}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{t_4}\\ \end{array} \]
Alternative 21
Error25.4
Cost9052
\[\begin{array}{l} t_0 := 1 + \frac{Ev}{KbT} \cdot 0.5\\ t_1 := \frac{Vef}{KbT} + 2\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -4 \cdot 10^{+164}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \frac{Ev \cdot t_0}{KbT}}\\ \mathbf{elif}\;Ev \leq -4 \cdot 10^{+128}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -8.6 \cdot 10^{+87}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ev \leq -6.8 \cdot 10^{+51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -2.8 \cdot 10^{-38}:\\ \;\;\;\;t_3 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot t_0}\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -2.2 \cdot 10^{-229}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_1\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq 2.8 \cdot 10^{-263} \lor \neg \left(Ev \leq 6.3 \cdot 10^{-167}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NaChar}{t_1}\\ \end{array} \]
Alternative 22
Error27.1
Cost8154
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Ec \leq -5.6 \cdot 10^{+168}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq -2.15 \cdot 10^{+116}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Ec \leq -4.4 \cdot 10^{-294} \lor \neg \left(Ec \leq 5.4 \cdot 10^{-234}\right) \land \left(Ec \leq 2.1 \cdot 10^{+40} \lor \neg \left(Ec \leq 2 \cdot 10^{+96}\right)\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 23
Error23.5
Cost8018
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -5.2 \cdot 10^{-213} \lor \neg \left(NaChar \leq 4.5 \cdot 10^{-213}\right) \land \left(NaChar \leq 5 \cdot 10^{-182} \lor \neg \left(NaChar \leq 5.8 \cdot 10^{-11}\right)\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 24
Error23.9
Cost8016
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -9.6 \cdot 10^{+70}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 3.5 \cdot 10^{-230}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{-172}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{+145}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 25
Error39.6
Cost7828
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Vef \leq -1.06 \cdot 10^{+186}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -3.3 \cdot 10^{-52}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{-247}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 9.5 \cdot 10^{-197}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{+198}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 26
Error39.6
Cost7764
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Vef \leq -8 \cdot 10^{+182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -3.4 \cdot 10^{-52}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -1.02 \cdot 10^{-239}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 6.4 \cdot 10^{-211}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2.2 \cdot 10^{+186}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 27
Error40.3
Cost7632
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Ev \leq -1.3 \cdot 10^{+128}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Ev \leq -9.8 \cdot 10^{-15}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -6.2 \cdot 10^{-154}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Ev \leq -7.5 \cdot 10^{-198}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 28
Error26.6
Cost7628
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.1 \cdot 10^{+40}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -3.5 \cdot 10^{-7}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 1.15 \cdot 10^{+259}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 29
Error25.1
Cost7628
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq 2.6 \cdot 10^{-207}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{-172}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + KbT \cdot \frac{NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 10^{+222}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 30
Error25.6
Cost7625
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1 \cdot 10^{-240} \lor \neg \left(NaChar \leq 2.75 \cdot 10^{-232}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 31
Error40.1
Cost7500
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Vef \leq -2.3 \cdot 10^{-194}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.85 \cdot 10^{-211}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 8 \cdot 10^{-48}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 32
Error39.9
Cost7236
\[\begin{array}{l} \mathbf{if}\;EAccept \leq 7.2 \cdot 10^{+115}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 33
Error41.1
Cost7104
\[\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5 \]
Alternative 34
Error45.3
Cost2505
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.22 \cdot 10^{-34} \lor \neg \left(NdChar \leq 6 \cdot 10^{-56}\right):\\ \;\;\;\;\frac{NaChar}{2} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}} + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)}\\ \end{array} \]
Alternative 35
Error46.0
Cost448
\[\frac{NaChar}{2} + NdChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023057 
(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))))))