?

Average Accuracy: 99.9% → 99.9%
Time: 1.3min
Precision: binary64
Cost: 14656

?

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

real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function
↓
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((mu + (edonor - (ec - vef))) / kbt)))) + ((1.0d0 / (1.0d0 + exp(((vef + (ev + (eaccept - mu))) / kbt)))) * nachar)
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 - (Ec - Vef))) / KbT)))) + ((1.0 / (1.0 + Math.exp(((Vef + (Ev + (EAccept - mu))) / KbT)))) * NaChar);
}

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

function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(-Float64(Float64(Float64(Ec - Vef) - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Float64(Ev + Vef) + EAccept) + Float64(-mu)) / KbT)))))
end
↓
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(mu + Float64(EDonor - Float64(Ec - Vef))) / KbT)))) + Float64(Float64(1.0 / Float64(1.0 + exp(Float64(Float64(Vef + Float64(Ev + Float64(EAccept - mu))) / KbT)))) * NaChar))
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 - (Ec - Vef))) / KbT)))) + ((1.0 / (1.0 + exp(((Vef + (Ev + (EAccept - mu))) / KbT)))) * NaChar);
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[(Ec - Vef), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(1.0 / N[(1.0 + N[Exp[N[(N[(Vef + N[(Ev + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * NaChar), $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(Ec - Vef\right)\right)}{KbT}}} + \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar

Error?

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 99.9%

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

  2. Simplified99.9%

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

    [Start]99.9

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

    neg-sub0 [=>]99.9

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

    associate--r- [=>]99.9

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

    +-commutative [=>]99.9

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

    sub0-neg [=>]99.9

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

    sub-neg [<=]99.9

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

    associate-+l+ [=>]99.9

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

    +-commutative [=>]99.9

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

    unsub-neg [=>]99.9

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

  3. Applied egg-rr99.9%

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

  4. Final simplification99.9%

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

Alternatives

Alternative 1
Accuracy55.2%
Cost15404
\[\begin{array}{l} t_0 := 1 + e^{\frac{Ev}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.65 \cdot 10^{+52}:\\ \;\;\;\;t_2 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;KbT \leq -0.00055:\\ \;\;\;\;t_4 + t_1\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-81}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -7 \cdot 10^{-158}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_1\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-182}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.6 \cdot 10^{-227}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -2.6 \cdot 10^{-303}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 2 \cdot 10^{-265}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 6 \cdot 10^{-262}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{-56}:\\ \;\;\;\;t_2 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 2.5 \cdot 10^{+82}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot \frac{1}{t_0}\\ \mathbf{elif}\;KbT \leq 1.9 \cdot 10^{+210}:\\ \;\;\;\;t_2 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_2 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 2
Accuracy53.7%
Cost15212
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := 2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ t_5 := t_3 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{if}\;EDonor \leq -9.5 \cdot 10^{+225}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.9 \cdot 10^{-171}:\\ \;\;\;\;t_3 + \frac{1}{\frac{t_1 + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{elif}\;EDonor \leq -6.5 \cdot 10^{-210}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.4 \cdot 10^{-204}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 6.6 \cdot 10^{-133}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;EDonor \leq 10^{-37}:\\ \;\;\;\;t_3 + \frac{1}{\frac{t_1 + \frac{KbT}{\frac{KbT \cdot KbT}{Ev - mu}}}{NaChar}}\\ \mathbf{elif}\;EDonor \leq 920000000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.55 \cdot 10^{+64}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 1.22 \cdot 10^{+92}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.9 \cdot 10^{+207}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 2.5 \cdot 10^{+264}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Accuracy53.1%
Cost15212
\[\begin{array}{l} t_0 := \frac{Vef + EAccept}{KbT}\\ t_1 := \frac{mu - Ev}{KbT}\\ t_2 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_3 := 2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_6 := t_5 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{if}\;EDonor \leq -8.5 \cdot 10^{+235}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -2 \cdot 10^{-172}:\\ \;\;\;\;t_5 + \frac{1}{\frac{t_3 + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{elif}\;EDonor \leq -6.8 \cdot 10^{-210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 7.2 \cdot 10^{-205}:\\ \;\;\;\;t_5 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;EDonor \leq 4.4 \cdot 10^{-128}:\\ \;\;\;\;t_5 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;EDonor \leq 8.5 \cdot 10^{-37}:\\ \;\;\;\;t_5 + \frac{1}{\frac{t_3 + \frac{KbT}{\frac{KbT \cdot KbT}{Ev - mu}}}{NaChar}}\\ \mathbf{elif}\;EDonor \leq 195000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.12 \cdot 10^{+64}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 9 \cdot 10^{+91}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 2.25 \cdot 10^{+207}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 7.2 \cdot 10^{+261}:\\ \;\;\;\;t_5 + \frac{1}{\frac{\frac{4 + \left(t_0 + \frac{Ev - mu}{KbT}\right) \cdot \left(t_1 - t_0\right)}{\left(2 - t_0\right) + t_1}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_4\\ \end{array} \]
Alternative 4
Accuracy59.9%
Cost15205
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.22 \cdot 10^{+58}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-8}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.75 \cdot 10^{-67}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -1.4 \cdot 10^{-241}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.4 \cdot 10^{-276}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{-155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2 \cdot 10^{-81}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\frac{Vef}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{+103} \lor \neg \left(KbT \leq 1.1 \cdot 10^{+147}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \end{array} \]
Alternative 5
Accuracy72.3%
Cost15200
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.56 \cdot 10^{-87}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq -7.6 \cdot 10^{-191}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq -1.28 \cdot 10^{-241}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 1.5 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.5 \cdot 10^{-163}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 5.6 \cdot 10^{+43}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.95 \cdot 10^{+82}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 3.8 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 6
Accuracy72.4%
Cost15200
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EAccept \leq -4.3 \cdot 10^{-87}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq -4.2 \cdot 10^{-191}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq -5 \cdot 10^{-243}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 8 \cdot 10^{-305}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 8 \cdot 10^{-164}:\\ \;\;\;\;t_2 + NaChar \cdot \frac{1}{2 + \mathsf{expm1}\left(\frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 1.06 \cdot 10^{+42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 6.6 \cdot 10^{+82}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 3.8 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 7
Accuracy56.4%
Cost15012
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{mu - Ev}{KbT}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_4 := \frac{Vef + EAccept}{KbT}\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_6 := t_5 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ t_7 := t_5 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -1.4 \cdot 10^{+50}:\\ \;\;\;\;t_5 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;KbT \leq -0.00085:\\ \;\;\;\;t_2 + t_0\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-81}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq -1.25 \cdot 10^{-151}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{-181}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-226}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.6 \cdot 10^{-303}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 4.8 \cdot 10^{-265}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 10^{-259}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-78}:\\ \;\;\;\;t_5 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 1.35:\\ \;\;\;\;t_7\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{+37}:\\ \;\;\;\;t_5 + \frac{1}{\frac{\frac{4 + \left(t_4 + \frac{Ev - mu}{KbT}\right) \cdot \left(t_1 - t_4\right)}{\left(2 - t_4\right) + t_1}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 2.05 \cdot 10^{+90}:\\ \;\;\;\;\frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{+209}:\\ \;\;\;\;t_5 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_5 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 8
Accuracy70.8%
Cost14936
\[\begin{array}{l} t_0 := 2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ \mathbf{if}\;NaChar \leq -1.02 \cdot 10^{-44}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{elif}\;NaChar \leq -1.55 \cdot 10^{-58}:\\ \;\;\;\;t_1 + \frac{1}{\frac{t_0 + \frac{KbT}{\frac{KbT \cdot KbT}{Ev - mu}}}{NaChar}}\\ \mathbf{elif}\;NaChar \leq -1.05 \cdot 10^{-93}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -1.42 \cdot 10^{-154}:\\ \;\;\;\;t_1 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;NaChar \leq -6 \cdot 10^{-201}:\\ \;\;\;\;t_1 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;NaChar \leq 3 \cdot 10^{-86}:\\ \;\;\;\;t_1 + \frac{1}{\frac{t_0 + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \end{array} \]
Alternative 9
Accuracy76.0%
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;EDonor \leq -2.6 \cdot 10^{+157}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -8.8 \cdot 10^{-126}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{-293}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 7.6 \cdot 10^{-278}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 6.5 \cdot 10^{-101}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{+71}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Accuracy73.0%
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2.4 \cdot 10^{-243}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.15 \cdot 10^{-163}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 3.7 \cdot 10^{+43}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 9.8 \cdot 10^{+81}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 3.9 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 11
Accuracy71.2%
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -4.3 \cdot 10^{+46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -1.2 \cdot 10^{-125}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{elif}\;EDonor \leq -7.5 \cdot 10^{-265}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 5.4 \cdot 10^{-289}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 8 \cdot 10^{-40}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Accuracy66.7%
Cost14676
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -3.4 \cdot 10^{+146}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.75 \cdot 10^{-126}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{elif}\;EDonor \leq -8.5 \cdot 10^{-264}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 6.5 \cdot 10^{-287}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 2.8 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Accuracy77.1%
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -3 \cdot 10^{+29}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -3.8 \cdot 10^{-154}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 3.7 \cdot 10^{-101}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 3 \cdot 10^{+68}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Accuracy99.9%
Cost14528
\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(EAccept - mu\right) + \left(Vef + Ev\right)}{KbT}}} \]
Alternative 15
Accuracy57.5%
Cost14420
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;NaChar \leq -8 \cdot 10^{-42}:\\ \;\;\;\;\frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq -1.05 \cdot 10^{-69}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;NaChar \leq -6.9 \cdot 10^{-96}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.02 \cdot 10^{-81}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 5.7 \cdot 10^{+62}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_1\\ \end{array} \]
Alternative 16
Accuracy58.5%
Cost14288
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{Vef + EAccept}{KbT}\\ t_2 := \frac{mu - Ev}{KbT}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -1 \cdot 10^{+50}:\\ \;\;\;\;t_3 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ \mathbf{elif}\;KbT \leq -0.00085:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_0\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{-81}:\\ \;\;\;\;t_3 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-206}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-78}:\\ \;\;\;\;t_3 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 0.0025:\\ \;\;\;\;t_3 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{+37}:\\ \;\;\;\;t_3 + \frac{1}{\frac{\frac{4 + \left(t_1 + \frac{Ev - mu}{KbT}\right) \cdot \left(t_2 - t_1\right)}{\left(2 - t_1\right) + t_2}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{+89}:\\ \;\;\;\;\frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{+209}:\\ \;\;\;\;t_3 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_3 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 17
Accuracy59.0%
Cost10972
\[\begin{array}{l} t_0 := \frac{mu - Ev}{KbT}\\ t_1 := \frac{Vef + EAccept}{KbT}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ t_4 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -2.8 \cdot 10^{+59}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -4000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -8.2 \cdot 10^{-147}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-209}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{-75}:\\ \;\;\;\;t_2 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 0.0146:\\ \;\;\;\;t_2 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{+37}:\\ \;\;\;\;t_2 + \frac{1}{\frac{\frac{4 + \left(t_1 + \frac{Ev - mu}{KbT}\right) \cdot \left(t_0 - t_1\right)}{\left(2 - t_1\right) + t_0}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{+87}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{+203}:\\ \;\;\;\;t_2 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \mathbf{else}:\\ \;\;\;\;t_2 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 18
Accuracy56.0%
Cost10348
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ t_2 := t_0 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ t_3 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -4 \cdot 10^{+57}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1360000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-81}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -7.6 \cdot 10^{-93}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq -7.2 \cdot 10^{-147}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-210}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-77}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-5}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+37}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{+56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 2.5 \cdot 10^{+82}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{\frac{KbT \cdot Ev - mu \cdot KbT}{KbT}}{KbT}}{NaChar}}\\ \end{array} \]
Alternative 19
Accuracy57.3%
Cost10220
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ t_3 := t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -9.8 \cdot 10^{+58}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -3350000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -4.6 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -8 \cdot 10^{-93}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -6 \cdot 10^{-147}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-209}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 0.45:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{+37}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 6.2 \cdot 10^{+57}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.05 \cdot 10^{+83}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{1}{\frac{\left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{KbT}{\frac{KbT \cdot KbT}{Ev - mu}}}{NaChar}}\\ \end{array} \]
Alternative 20
Accuracy57.0%
Cost10096
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ t_3 := t_1 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ t_4 := t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -3.9 \cdot 10^{+59}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -10000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -7 \cdot 10^{-8}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-92}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-147}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-209}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.4 \cdot 10^{-73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 0.0082:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{+37}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{+57}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.3 \cdot 10^{+84}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{+145}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.02 \cdot 10^{+194}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 21
Accuracy56.9%
Cost10096
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ t_2 := t_0 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ t_3 := t_0 + \frac{1}{\frac{\left(2 - \frac{EAccept}{\frac{KbT}{-1 - \frac{Vef}{EAccept}}}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}{NaChar}}\\ t_4 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -4 \cdot 10^{+57}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1360000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -7.6 \cdot 10^{-93}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-146}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.5 \cdot 10^{-209}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 4.4 \cdot 10^{-81}:\\ \;\;\;\;t_0 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 0.215:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.45 \cdot 10^{+36}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 3.8 \cdot 10^{+55}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{+82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{+133}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{+139}:\\ \;\;\;\;t_0 - KbT \cdot \frac{NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{+191}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_0 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 22
Accuracy57.2%
Cost10092
\[\begin{array}{l} t_0 := 2 + \frac{Vef}{KbT}\\ t_1 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ t_4 := t_2 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -5.2 \cdot 10^{+57}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + t_0\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -750000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -6.8 \cdot 10^{-8}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -8 \cdot 10^{-93}:\\ \;\;\;\;t_2 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -1.7 \cdot 10^{-144}:\\ \;\;\;\;t_2 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-209}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{-77}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 0.0008:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{+37}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{+60}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.1 \cdot 10^{+83}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + NaChar \cdot \frac{1}{\left(\frac{EAccept}{KbT} + t_0\right) - \left(\frac{mu}{KbT} - \frac{Ev}{KbT}\right)}\\ \end{array} \]
Alternative 23
Accuracy57.3%
Cost10092
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ t_3 := t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -3.5 \cdot 10^{+59}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -980000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -6.2 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.5 \cdot 10^{-92}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -5.6 \cdot 10^{-147}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq -4 \cdot 10^{-213}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{-79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{+37}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{+55}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{+84}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \end{array} \]
Alternative 24
Accuracy57.2%
Cost9704
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ t_3 := t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right) - \frac{mu}{KbT}}\\ t_4 := t_1 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{if}\;KbT \leq -3.8 \cdot 10^{+58}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -20000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -8.5 \cdot 10^{-144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -4.3 \cdot 10^{-213}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{-76}:\\ \;\;\;\;t_1 + \frac{1}{\frac{\frac{\left(Ev + EAccept \cdot \left(1 + \frac{Vef}{EAccept}\right)\right) - mu}{KbT}}{NaChar}}\\ \mathbf{elif}\;KbT \leq 3.8:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.45 \cdot 10^{+36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.55 \cdot 10^{+61}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.8 \cdot 10^{+82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{+145}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+194}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + NaChar \cdot \left(0.5 - \frac{Ev}{KbT} \cdot 0.25\right)\\ \end{array} \]
Alternative 25
Accuracy52.0%
Cost8933
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\frac{Ev}{KbT}}\\ t_3 := 1 - \frac{mu}{KbT}\\ \mathbf{if}\;KbT \leq -2.2 \cdot 10^{+58}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + t_3}\\ \mathbf{elif}\;KbT \leq -8 \cdot 10^{-23}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -2.8 \cdot 10^{-69}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2 \cdot 10^{-93}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -5.6 \cdot 10^{-147}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{elif}\;KbT \leq -1.9 \cdot 10^{-209}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-248}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 8.6 \cdot 10^{-110} \lor \neg \left(KbT \leq 2.85 \cdot 10^{+82}\right):\\ \;\;\;\;t_1 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_3}\\ \end{array} \]
Alternative 26
Accuracy53.3%
Cost8933
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + \left(\frac{Vef}{KbT} - \frac{mu}{KbT}\right)}\\ t_3 := 1 - \frac{mu}{KbT}\\ \mathbf{if}\;KbT \leq -3.4 \cdot 10^{+58}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + t_3}\\ \mathbf{elif}\;KbT \leq -4600000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -4.65 \cdot 10^{-64}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-93}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -2.8 \cdot 10^{-146}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{elif}\;KbT \leq -4.4 \cdot 10^{-215}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.5 \cdot 10^{-309}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 4.3 \cdot 10^{-110} \lor \neg \left(KbT \leq 2.4 \cdot 10^{+84}\right):\\ \;\;\;\;t_1 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_3}\\ \end{array} \]
Alternative 27
Accuracy60.9%
Cost8521
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.32 \cdot 10^{-37} \lor \neg \left(NaChar \leq 2.3 \cdot 10^{+16}\right):\\ \;\;\;\;\frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 28
Accuracy48.3%
Cost8408
\[\begin{array}{l} t_0 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + KbT \cdot \frac{NaChar}{Vef}\\ \mathbf{if}\;Vef \leq -4 \cdot 10^{+127}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.8 \cdot 10^{-288}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.8 \cdot 10^{-157}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 10^{-58}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.15 \cdot 10^{+121}:\\ \;\;\;\;t_1 + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 7.6 \cdot 10^{+227}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 29
Accuracy46.7%
Cost8280
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{1}{\frac{\frac{Vef}{KbT}}{NaChar}}\\ \mathbf{if}\;Vef \leq -6.6 \cdot 10^{+197}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -2.5 \cdot 10^{-285}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 3.2 \cdot 10^{-158}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 9.6 \cdot 10^{-139}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 4.7 \cdot 10^{-52}:\\ \;\;\;\;NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 9.2 \cdot 10^{+229}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 30
Accuracy58.2%
Cost8273
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -7.4 \cdot 10^{-38}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 6 \cdot 10^{-138}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;NaChar \leq 4.8 \cdot 10^{-50} \lor \neg \left(NaChar \leq 9 \cdot 10^{+50}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \end{array} \]
Alternative 31
Accuracy58.3%
Cost8264
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -3.1 \cdot 10^{-93}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 8 \cdot 10^{-82}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;NaChar \leq 1.15 \cdot 10^{+51}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 32
Accuracy38.2%
Cost8160
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{1}{\frac{\frac{Vef}{KbT}}{NaChar}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -3.1 \cdot 10^{+224}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -4.2 \cdot 10^{+168}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -2.55 \cdot 10^{+101}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq -8.5 \cdot 10^{+56}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -4 \cdot 10^{-71}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.65 \cdot 10^{-197}:\\ \;\;\;\;NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-83}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 3.3 \cdot 10^{+46}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 33
Accuracy40.9%
Cost8152
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{t_0} + \frac{1}{\frac{\frac{Vef}{KbT}}{NaChar}}\\ \mathbf{if}\;Vef \leq -8 \cdot 10^{+171}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.6 \cdot 10^{-144}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 2.8 \cdot 10^{+39}:\\ \;\;\;\;NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2 \cdot 10^{+107}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 1.05 \cdot 10^{+145}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{t_0}\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{+229}:\\ \;\;\;\;t_1 + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 34
Accuracy39.9%
Cost8148
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{1}{\frac{\frac{Vef}{KbT}}{NaChar}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;Vef \leq -5 \cdot 10^{+172}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -9.6 \cdot 10^{-285}:\\ \;\;\;\;t_1 + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 1.16 \cdot 10^{-156}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_2\\ \mathbf{elif}\;Vef \leq 1.85 \cdot 10^{+227}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 6.5 \cdot 10^{+253}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 35
Accuracy59.1%
Cost8009
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -3.1 \cdot 10^{-93} \lor \neg \left(NaChar \leq 2.5 \cdot 10^{+51}\right):\\ \;\;\;\;\frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \end{array} \]
Alternative 36
Accuracy55.3%
Cost7881
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -8 \cdot 10^{-94} \lor \neg \left(NaChar \leq 8 \cdot 10^{-138}\right):\\ \;\;\;\;\frac{1}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \cdot NaChar + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 37
Accuracy38.8%
Cost7496
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -8.5 \cdot 10^{-94}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 9 \cdot 10^{-152}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 38
Accuracy38.9%
Cost7369
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.1 \cdot 10^{-93} \lor \neg \left(NaChar \leq 3.3 \cdot 10^{-151}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 39
Accuracy35.4%
Cost7104
\[\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5 \]
Alternative 40
Accuracy29.1%
Cost1865
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.45 \cdot 10^{+82} \lor \neg \left(KbT \leq 2.2 \cdot 10^{+84}\right):\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 - \frac{mu}{KbT}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 41
Accuracy29.1%
Cost1604
\[\begin{array}{l} t_0 := 1 - \frac{mu}{KbT}\\ \mathbf{if}\;KbT \leq -4.5 \cdot 10^{+104}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.12 \cdot 10^{+84}:\\ \;\;\;\;\frac{NaChar}{t_0} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + t_0} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 42
Accuracy29.2%
Cost1097
\[\begin{array}{l} t_0 := 1 - \frac{mu}{KbT}\\ \mathbf{if}\;KbT \leq -4 \cdot 10^{+78} \lor \neg \left(KbT \leq 5.9 \cdot 10^{+83}\right):\\ \;\;\;\;\frac{NaChar}{1 + t_0} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{t_0} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 43
Accuracy27.5%
Cost969
\[\begin{array}{l} \mathbf{if}\;mu \leq 8 \cdot 10^{-305} \lor \neg \left(mu \leq 3 \cdot 10^{-105}\right):\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 - \frac{mu}{KbT}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 44
Accuracy27.4%
Cost320
\[0.5 \cdot \left(NdChar + NaChar\right) \]
Alternative 45
Accuracy17.9%
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023129 
(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))))))