?

Average Accuracy: 100.0% → 100.0%
Time: 1.3min
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?

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 100.0%

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

  2. Simplified100.0%

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

    [Start]100.0

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

    neg-sub0 [=>]100.0

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

    associate--r- [=>]100.0

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

    +-commutative [=>]100.0

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

    sub0-neg [=>]100.0

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

    sub-neg [<=]100.0

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

    associate-+l+ [=>]100.0

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

    +-commutative [=>]100.0

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

    unsub-neg [=>]100.0

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

  3. Final simplification100.0%

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

Alternatives

Alternative 1
Accuracy57.4%
Cost15732
\[\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 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_6 := t_5 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;Ec \leq -4.5 \cdot 10^{+141}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq -2.15 \cdot 10^{+96}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -2 \cdot 10^{+71}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ec \leq -3.8 \cdot 10^{-69}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -4.4 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -3.1 \cdot 10^{-295}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 3 \cdot 10^{-271}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 1.05 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 8.5 \cdot 10^{-195}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_4\\ \mathbf{elif}\;Ec \leq 3.5 \cdot 10^{-123}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 1.9 \cdot 10^{-73}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_4\\ \mathbf{elif}\;Ec \leq 58:\\ \;\;\;\;t_5 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;Ec \leq 1.7 \cdot 10^{+95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 1.55 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 3.6 \cdot 10^{+228}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ec \leq 3 \cdot 10^{+243}:\\ \;\;\;\;t_5 + \frac{NdChar}{2}\\ \mathbf{elif}\;Ec \leq 2.9 \cdot 10^{+273}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;Ec \leq 4.7 \cdot 10^{+303}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{Ev}\\ \end{array} \]
Alternative 2
Accuracy69.9%
Cost15333
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NaChar \leq -7.1 \cdot 10^{+193}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -5.2 \cdot 10^{+65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -2.3 \cdot 10^{+57}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;NaChar \leq -3.7 \cdot 10^{+44}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -2.7 \cdot 10^{-15}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.05 \cdot 10^{-160}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;NaChar \leq 1.3 \cdot 10^{-83}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;NaChar \leq 1.22 \cdot 10^{-33} \lor \neg \left(NaChar \leq 1.4 \cdot 10^{+19}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 3
Accuracy70.7%
Cost15333
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NaChar \leq -2.95 \cdot 10^{+194}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -2 \cdot 10^{+66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.9 \cdot 10^{+55}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;NaChar \leq -4.8 \cdot 10^{+44}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -1.2 \cdot 10^{-15}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -6.6 \cdot 10^{-160}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 3 \cdot 10^{-85}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;NaChar \leq 9.6 \cdot 10^{-35} \lor \neg \left(NaChar \leq 2 \cdot 10^{+20}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 4
Accuracy71.8%
Cost15332
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + t_0\\ \mathbf{if}\;NaChar \leq -2.4 \cdot 10^{+193}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -5.2 \cdot 10^{+65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.9 \cdot 10^{+56}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;NaChar \leq -5.5 \cdot 10^{+44}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -5 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -2.1 \cdot 10^{-91}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -1.02 \cdot 10^{-159}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NaChar \leq 3.2 \cdot 10^{-85}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;NaChar \leq 1.48 \cdot 10^{+84}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 5
Accuracy60.0%
Cost14816
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_4 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{if}\;Vef \leq -4.7 \cdot 10^{+95}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -4.2 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.15 \cdot 10^{-47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -3.5 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.25 \cdot 10^{-282}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 3.5 \cdot 10^{-275}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + \left(1 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Vef \leq 6.2 \cdot 10^{-96}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 70000000000000:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 6
Accuracy63.1%
Cost14808
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_1\\ t_3 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_1\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;Ec \leq -1.25 \cdot 10^{+154}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -2 \cdot 10^{+71}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -2.2 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -1.45 \cdot 10^{-182}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -1.26 \cdot 10^{-284}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 1.55 \cdot 10^{+151}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 7.5 \cdot 10^{+264}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ec \leq 4.2 \cdot 10^{+303}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{Ev}\\ \end{array} \]
Alternative 7
Accuracy73.0%
Cost14408
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq -8.5 \cdot 10^{-166}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.4 \cdot 10^{+146}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 8
Accuracy56.7%
Cost14156
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -2.35 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -0.025:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + \left(1 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq -2.1 \cdot 10^{-66}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq -6.2 \cdot 10^{-135}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 4.8 \cdot 10^{-248}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;KbT \leq 3.1 \cdot 10^{-214}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 5.4 \cdot 10^{+164}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 9
Accuracy56.2%
Cost14156
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := \frac{Vef}{KbT} + 2\\ t_5 := t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_4\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;EDonor \leq -5 \cdot 10^{+230}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_3\\ \mathbf{elif}\;EDonor \leq -1.5 \cdot 10^{+173}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.26 \cdot 10^{+110}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_3\\ \mathbf{elif}\;EDonor \leq -2.4 \cdot 10^{-11}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -5 \cdot 10^{-159}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.25 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 1.16 \cdot 10^{-142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.8 \cdot 10^{-60}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(t_4 - \frac{mu}{KbT}\right)\right)}{NaChar}}\\ \mathbf{elif}\;EDonor \leq 34000000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 6.3 \cdot 10^{+131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 3.7 \cdot 10^{+132}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 10
Accuracy55.9%
Cost9704
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_2 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_5 := \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;KbT \leq -2.5 \cdot 10^{+53}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -6.5 \cdot 10^{-32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.92 \cdot 10^{-38}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_5\\ \mathbf{elif}\;KbT \leq -1.35 \cdot 10^{-124}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{-211}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{-81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-71}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_5\\ \mathbf{elif}\;KbT \leq 3.5 \cdot 10^{+31}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{+111}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 11
Accuracy54.5%
Cost9700
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_3 := t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;EDonor \leq -5.2 \cdot 10^{+166}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -5.8 \cdot 10^{-11}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq -9.6 \cdot 10^{-160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 3.6 \cdot 10^{-241}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 6.5 \cdot 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 8.5 \cdot 10^{-61}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 60000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 2.3 \cdot 10^{+132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 3.5 \cdot 10^{+132}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 12
Accuracy54.5%
Cost9700
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_3 := \frac{Vef}{KbT} + 2\\ \mathbf{if}\;EDonor \leq -1.16 \cdot 10^{+167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -7.5 \cdot 10^{-12}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq -5.8 \cdot 10^{-159}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 9 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 4 \cdot 10^{-142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 3.3 \cdot 10^{-58}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(t_3 - \frac{mu}{KbT}\right)\right)}{NaChar}}\\ \mathbf{elif}\;EDonor \leq 115000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 2.2 \cdot 10^{+132}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 3.7 \cdot 10^{+132}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_3\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 13
Accuracy54.5%
Cost9316
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ t_3 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;Vef \leq -6.8 \cdot 10^{+213}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.35 \cdot 10^{+96}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -7 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.02 \cdot 10^{-45}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq -5.2 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 10^{-289}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 8.2 \cdot 10^{+37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.8 \cdot 10^{+172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.56 \cdot 10^{+193}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Accuracy56.4%
Cost9308
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -2.3 \cdot 10^{+48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.3 \cdot 10^{-38}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -2.7 \cdot 10^{-124}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{-248}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{-213}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{+164}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 15
Accuracy56.6%
Cost9308
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -3.5 \cdot 10^{+83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -0.41:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + \left(1 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq -2.3 \cdot 10^{-38}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -6.8 \cdot 10^{-143}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 3.8 \cdot 10^{-246}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{-215}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{+164}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 16
Accuracy61.7%
Cost9176
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;NaChar \leq -1.85 \cdot 10^{+217}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -1.4 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -2.2 \cdot 10^{-105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 8.5 \cdot 10^{-41}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{elif}\;NaChar \leq 0.00066:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NaChar \leq 5.2 \cdot 10^{+134}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 17
Accuracy51.9%
Cost8796
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{if}\;Ev \leq -5 \cdot 10^{+239}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Ev \leq -2.1 \cdot 10^{+174}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;Ev \leq -2.4 \cdot 10^{+131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -2.5 \cdot 10^{+82}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Ev \leq -5.8 \cdot 10^{-133}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -6.4 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 3 \cdot 10^{-37}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 18
Accuracy46.8%
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{\frac{Vef}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;Vef \leq -2.1 \cdot 10^{+202}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -2.9 \cdot 10^{+98}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.65 \cdot 10^{-238}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{-283}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.1 \cdot 10^{+38}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.6 \cdot 10^{+129}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{+195}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 19
Accuracy60.1%
Cost8401
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{if}\;NaChar \leq -9.2 \cdot 10^{+216}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -4 \cdot 10^{+83} \lor \neg \left(NaChar \leq -2.4 \cdot 10^{-104}\right) \land NaChar \leq 1.6 \cdot 10^{+22}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \end{array} \]
Alternative 20
Accuracy49.1%
Cost8276
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{KbT}{\frac{Vef}{NaChar}}\\ t_2 := t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -2.6 \cdot 10^{-40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.25 \cdot 10^{-132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -3.5 \cdot 10^{-161}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -4.9 \cdot 10^{-278}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.15 \cdot 10^{+85}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 21
Accuracy56.8%
Cost8272
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -9.2 \cdot 10^{+216}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.35 \cdot 10^{-189}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 7.2 \cdot 10^{-264}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 4.1 \cdot 10^{+132}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 22
Accuracy61.5%
Cost8272
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.1 \cdot 10^{-10}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -4.8 \cdot 10^{-43}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -2.35 \cdot 10^{-60}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;NdChar \leq 5.8 \cdot 10^{+56}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{2 - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 23
Accuracy51.6%
Cost8145
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -7 \cdot 10^{-188}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 3.1 \cdot 10^{-135}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 2.5 \cdot 10^{-53} \lor \neg \left(NaChar \leq 3.6 \cdot 10^{+19}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 - \frac{NaChar}{\frac{mu}{KbT}}\\ \end{array} \]
Alternative 24
Accuracy49.7%
Cost8140
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -9.8 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{-286}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{+90}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{EAccept}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 25
Accuracy49.8%
Cost8140
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -4.4 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.5 \cdot 10^{-285}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{Vef}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{+84}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{EAccept}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 26
Accuracy42.4%
Cost8020
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;EDonor \leq -3.1 \cdot 10^{-103}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 1.65 \cdot 10^{-220}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + e^{\frac{\left(mu + Vef\right) - Ec}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.95 \cdot 10^{-141}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 5 \cdot 10^{-96}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 2.1 \cdot 10^{+14}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 27
Accuracy49.9%
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -6.8 \cdot 10^{+44}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.02 \cdot 10^{-203}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -4.9 \cdot 10^{-239}:\\ \;\;\;\;\frac{NaChar}{\frac{Vef}{KbT}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 11500:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 28
Accuracy49.4%
Cost8012
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -7 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.9 \cdot 10^{-285}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{+84}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 29
Accuracy36.8%
Cost7896
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ t_2 := \frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \mathbf{if}\;Vef \leq -1.45 \cdot 10^{+179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -3.2 \cdot 10^{+148}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq -3.6 \cdot 10^{-147}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -6 \cdot 10^{-272}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{+37}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq 2.6 \cdot 10^{+193}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{t_0}\\ \end{array} \]
Alternative 30
Accuracy38.1%
Cost7896
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Vef \leq -1.05 \cdot 10^{+179}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq -1.15 \cdot 10^{+144}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq -1.62 \cdot 10^{-83}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + e^{\frac{mu - Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq -1.55 \cdot 10^{-271}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 8 \cdot 10^{+36}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq 1.56 \cdot 10^{+193}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{t_0}\\ \end{array} \]
Alternative 31
Accuracy37.9%
Cost7896
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Vef \leq -1.75 \cdot 10^{+200}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq -2.2 \cdot 10^{+143}:\\ \;\;\;\;\frac{NaChar}{\frac{Vef}{KbT}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq -1.25 \cdot 10^{-69}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + e^{\frac{mu - Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq -8.8 \cdot 10^{-274}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 4.8 \cdot 10^{+36}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq 1.8 \cdot 10^{+193}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{t_0}\\ \end{array} \]
Alternative 32
Accuracy40.6%
Cost7888
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NaChar \leq -4.4 \cdot 10^{+194}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -2.35 \cdot 10^{-204}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -1.25 \cdot 10^{-239}:\\ \;\;\;\;\frac{NaChar}{\frac{Vef}{KbT}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 8.5 \cdot 10^{+159}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 33
Accuracy52.7%
Cost7881
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.55 \cdot 10^{-188} \lor \neg \left(NaChar \leq 2.6 \cdot 10^{-128}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{KbT}{\frac{Vef}{NaChar}}\\ \end{array} \]
Alternative 34
Accuracy49.7%
Cost7881
\[\begin{array}{l} \mathbf{if}\;KbT \leq -7.5 \cdot 10^{+27} \lor \neg \left(KbT \leq 3.7 \cdot 10^{+84}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{Vef}{KbT}}\\ \end{array} \]
Alternative 35
Accuracy57.5%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.25 \cdot 10^{+45} \lor \neg \left(NaChar \leq 2 \cdot 10^{+20}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 36
Accuracy35.2%
Cost7633
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -9 \cdot 10^{-291}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-285}:\\ \;\;\;\;\frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}} + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.15 \cdot 10^{-186} \lor \neg \left(KbT \leq 4.8 \cdot 10^{-71}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 37
Accuracy37.2%
Cost7632
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Vef \leq -2 \cdot 10^{-142}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq -6.2 \cdot 10^{-274}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.2 \cdot 10^{+36}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq 2.2 \cdot 10^{+193}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{t_0}\\ \end{array} \]
Alternative 38
Accuracy37.0%
Cost7368
\[\begin{array}{l} \mathbf{if}\;Ev \leq -2.6 \cdot 10^{+145}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Ev \leq 3.8 \cdot 10^{-270}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 39
Accuracy39.5%
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.2 \cdot 10^{+56}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 2.35 \cdot 10^{-164}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 40
Accuracy37.3%
Cost7236
\[\begin{array}{l} \mathbf{if}\;EAccept \leq 205000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 41
Accuracy25.3%
Cost1736
\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := \frac{NaChar}{t_0}\\ \mathbf{if}\;Vef \leq -2.3 \cdot 10^{+196}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -8 \cdot 10^{+73}:\\ \;\;\;\;\frac{\frac{t_0}{NaChar} + \frac{2}{NdChar}}{\frac{t_0 \cdot \frac{2}{NdChar}}{NaChar}}\\ \mathbf{elif}\;Vef \leq -2.06 \cdot 10^{-119}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{-266}:\\ \;\;\;\;NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{-294}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \end{array} \]
Alternative 42
Accuracy27.8%
Cost1353
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.06 \cdot 10^{-119} \lor \neg \left(KbT \leq 3.15 \cdot 10^{+177}\right):\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{Vef - Ec}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 43
Accuracy28.5%
Cost968
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -7.5 \cdot 10^{-119}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{+164}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + t_0\\ \end{array} \]
Alternative 44
Accuracy28.1%
Cost968
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -1.52 \cdot 10^{-119}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{\frac{Vef}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{+164}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + t_0\\ \end{array} \]
Alternative 45
Accuracy28.3%
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq -4.9 \cdot 10^{-119} \lor \neg \left(KbT \leq 3.15 \cdot 10^{+177}\right):\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 46
Accuracy28.0%
Cost320
\[0.5 \cdot \left(NdChar + NaChar\right) \]
Alternative 47
Accuracy18.6%
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023135 
(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))))))