?

Average Accuracy: 100.0% → 100.0%
Time: 47.5s
Precision: binary64
Cost: 14528

?

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

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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%

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

Alternatives

Alternative 1
Accuracy67.2%
Cost15464
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + t_0\\ t_3 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;KbT \leq -90000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{-38}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -1.25 \cdot 10^{-175}:\\ \;\;\;\;t_1 + t_6\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-223}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 2 \cdot 10^{-228}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 3.1 \cdot 10^{-155}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.05 \cdot 10^{-99}:\\ \;\;\;\;t_6 + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 2.65 \cdot 10^{-83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{-19}:\\ \;\;\;\;t_4 + NaChar\\ \mathbf{elif}\;KbT \leq 6500000000000:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 2
Accuracy67.0%
Cost15464
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + t_0\\ t_3 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;KbT \leq -800000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-38}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -1.85 \cdot 10^{-175}:\\ \;\;\;\;t_1 + t_6\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-224}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 2 \cdot 10^{-228}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 3.8 \cdot 10^{-155}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.9 \cdot 10^{-98}:\\ \;\;\;\;t_6 + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.25 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.25 \cdot 10^{-55}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1620000000000:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Accuracy66.0%
Cost15336
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_2\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := t_4 + t_2\\ t_6 := t_4 + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.05 \cdot 10^{+137}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -1.05 \cdot 10^{+48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -5.2 \cdot 10^{+19}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq -1.42 \cdot 10^{-80}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -6 \cdot 10^{-193}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 1.9 \cdot 10^{-263}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 3.15 \cdot 10^{-62}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;EDonor \leq 1.05 \cdot 10^{+21}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 2.05 \cdot 10^{+98}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 1.75 \cdot 10^{+183}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 4
Accuracy61.1%
Cost15204
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ t_4 := 1 + \frac{Vef}{KbT}\\ t_5 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + t_4}\\ \mathbf{if}\;EDonor \leq -4 \cdot 10^{+137}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.4 \cdot 10^{+48}:\\ \;\;\;\;t_0 + NaChar\\ \mathbf{elif}\;EDonor \leq -1.55 \cdot 10^{-28}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -4 \cdot 10^{-90}:\\ \;\;\;\;t_0 + t_3\\ \mathbf{elif}\;EDonor \leq -4.1 \cdot 10^{-219}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 1.76 \cdot 10^{-65}:\\ \;\;\;\;t_0 + \frac{NaChar}{t_4}\\ \mathbf{elif}\;EDonor \leq 1.26 \cdot 10^{+33}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 2.6 \cdot 10^{+61}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_3\\ \mathbf{elif}\;EDonor \leq 1.36 \cdot 10^{+183}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 5
Accuracy66.3%
Cost15072
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{t_0} + \frac{NaChar}{t_0}\\ t_2 := 1 + \frac{Vef}{KbT}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{t_2}\\ \mathbf{if}\;NaChar \leq -8 \cdot 10^{+116}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq -1.05 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -5400000000:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(t_2 + \frac{EAccept}{KbT}\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;NaChar \leq -5.2 \cdot 10^{-37}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;NaChar \leq -1.28 \cdot 10^{-104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.45 \cdot 10^{-300}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;NaChar \leq 4200000000:\\ \;\;\;\;t_4 + NaChar\\ \mathbf{elif}\;NaChar \leq 5.4 \cdot 10^{+63}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 4.8 \cdot 10^{+78}:\\ \;\;\;\;t_4 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ \end{array} \]
Alternative 6
Accuracy72.5%
Cost14940
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_2\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_2\\ \mathbf{if}\;Vef \leq -1.8 \cdot 10^{+103}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -1.85 \cdot 10^{+59}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -2 \cdot 10^{+35}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{\left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept}{KbT}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 6 \cdot 10^{-282}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.35 \cdot 10^{-48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.65 \cdot 10^{+79}:\\ \;\;\;\;t_1 + NaChar\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 7
Accuracy70.2%
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ \mathbf{if}\;NdChar \leq -3.1 \cdot 10^{+179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -7.2 \cdot 10^{+148}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -2.9 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3 \cdot 10^{-129}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{\left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept}{KbT}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 6 \cdot 10^{-284}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 8.2 \cdot 10^{+57}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 8
Accuracy62.6%
Cost9060
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ t_2 := t_0 + NaChar \cdot 0.5\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_4 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -3.8 \cdot 10^{+116}:\\ \;\;\;\;t_3 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{+75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2.8 \cdot 10^{+30}:\\ \;\;\;\;t_3 + \frac{NdChar}{2 + \left(0.5 \cdot \left(\frac{Ec}{KbT} \cdot \frac{Ec}{KbT}\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -6.5 \cdot 10^{-179}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -8.5 \cdot 10^{-250}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.18 \cdot 10^{-105}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{+49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.35 \cdot 10^{+185}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 9
Accuracy63.8%
Cost8932
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_3 := t_1 + NaChar\\ t_4 := t_0 + \frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \mathbf{if}\;NdChar \leq -5.6 \cdot 10^{-42}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 10^{-304}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 2.9 \cdot 10^{-245}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 1.95 \cdot 10^{-143}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 4.4 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 2.4 \cdot 10^{-52}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 1150000000:\\ \;\;\;\;t_1 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 1.52 \cdot 10^{+60}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 2.6 \cdot 10^{+203}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 10
Accuracy65.5%
Cost8904
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + NaChar\\ \mathbf{if}\;NdChar \leq -5.8 \cdot 10^{-21}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -2.6 \cdot 10^{-125}:\\ \;\;\;\;t_2 + NaChar \cdot \frac{1}{\left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept}{KbT}\right) + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 1.95 \cdot 10^{-143}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{-103}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;NdChar \leq 6.5 \cdot 10^{-52}:\\ \;\;\;\;t_0 + \frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;NdChar \leq 1.85 \cdot 10^{+36}:\\ \;\;\;\;t_2 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{+54}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 11
Accuracy66.1%
Cost8796
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ t_4 := t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{if}\;NdChar \leq -4.8 \cdot 10^{-39}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 3.8 \cdot 10^{-143}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 4.4 \cdot 10^{-103}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-52}:\\ \;\;\;\;t_2 + \frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;NdChar \leq 12200000000:\\ \;\;\;\;t_0 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 6.2 \cdot 10^{+40}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{+54}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Accuracy61.4%
Cost8672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ t_3 := t_1 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_4 := t_0 + \frac{NdChar}{2}\\ \mathbf{if}\;NdChar \leq -3.5 \cdot 10^{-20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.1 \cdot 10^{-150}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -2.05 \cdot 10^{-206}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 4.5 \cdot 10^{-238}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 3.5 \cdot 10^{-149}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 1.4 \cdot 10^{-102}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-52}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 90000000:\\ \;\;\;\;t_1 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Accuracy66.5%
Cost8664
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ t_3 := t_0 + \frac{NdChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{if}\;NdChar \leq -1.8 \cdot 10^{-37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 9 \cdot 10^{-144}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.2 \cdot 10^{-102}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;NdChar \leq 1.5 \cdot 10^{-55}:\\ \;\;\;\;t_0 + \frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;NdChar \leq 8.4 \cdot 10^{+36}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{+54}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Accuracy62.6%
Cost8536
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ \mathbf{if}\;NdChar \leq -6.4 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -5 \cdot 10^{-151}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;NdChar \leq -7.8 \cdot 10^{-206}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 5.2 \cdot 10^{-238}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 3.2 \cdot 10^{-149}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 65000000:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 15
Accuracy61.4%
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ t_3 := t_0 + \frac{NdChar}{2}\\ \mathbf{if}\;NdChar \leq -4.8 \cdot 10^{-210}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 5.1 \cdot 10^{-238}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 3.8 \cdot 10^{-149}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 5.8 \cdot 10^{-112}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT}}\\ \mathbf{elif}\;NdChar \leq 6.2 \cdot 10^{-56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 450000000:\\ \;\;\;\;t_1 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{+54}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 16
Accuracy62.7%
Cost8404
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ \mathbf{if}\;NdChar \leq -5 \cdot 10^{-44}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3.5 \cdot 10^{-208}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;NdChar \leq 3.5 \cdot 10^{-238}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 2.4 \cdot 10^{-149}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 980000000:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 17
Accuracy49.2%
Cost8028
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{\frac{Vef}{KbT}}\\ t_1 := NaChar + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -5.6 \cdot 10^{+273}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq -1.45 \cdot 10^{-178}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.55 \cdot 10^{-223}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.8 \cdot 10^{-275}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-220}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{-196}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.8 \cdot 10^{+124}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 18
Accuracy65.7%
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -1.55 \cdot 10^{+165}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq -7.2 \cdot 10^{-196}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -4.5 \cdot 10^{-249}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{+157}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \end{array} \]
Alternative 19
Accuracy65.9%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -6.8 \cdot 10^{+158} \lor \neg \left(NaChar \leq 7 \cdot 10^{+139}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar\\ \end{array} \]
Alternative 20
Accuracy64.0%
Cost7624
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2 \cdot 10^{+273}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{+157}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 21
Accuracy47.8%
Cost7564
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -2.7 \cdot 10^{+191}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq -2.95 \cdot 10^{-279}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.3 \cdot 10^{-210}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq 1.5 \cdot 10^{+144}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;NaChar + t_0\\ \end{array} \]
Alternative 22
Accuracy49.8%
Cost7241
\[\begin{array}{l} \mathbf{if}\;EDonor \leq -1.55 \cdot 10^{+75} \lor \neg \left(EDonor \leq 6 \cdot 10^{+132}\right):\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \end{array} \]
Alternative 23
Accuracy51.5%
Cost7241
\[\begin{array}{l} \mathbf{if}\;mu \leq -7.6 \cdot 10^{+152} \lor \neg \left(mu \leq 8.5 \cdot 10^{+15}\right):\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \end{array} \]
Alternative 24
Accuracy49.6%
Cost7240
\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.2 \cdot 10^{+212}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.15 \cdot 10^{+200}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 25
Accuracy40.1%
Cost2000
\[\begin{array}{l} t_0 := NaChar + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := \frac{NdChar}{2} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -1.1 \cdot 10^{+213}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-133}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.42 \cdot 10^{-279}:\\ \;\;\;\;NaChar + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 9.6 \cdot 10^{+124}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 26
Accuracy40.0%
Cost1872
\[\begin{array}{l} t_0 := NaChar + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -2.6 \cdot 10^{+212}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -8.8 \cdot 10^{-133}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.16 \cdot 10^{-300}:\\ \;\;\;\;NaChar + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{+156}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 27
Accuracy39.8%
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.25 \cdot 10^{+213} \lor \neg \left(KbT \leq 5.2 \cdot 10^{+148}\right):\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;NaChar + \frac{NdChar}{2}\\ \end{array} \]
Alternative 28
Accuracy35.9%
Cost320
\[NaChar + \frac{NdChar}{2} \]
Alternative 29
Accuracy18.6%
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023141 
(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))))))