?

Average Accuracy: 100.0% → 100.0%
Time: 54.9s
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}}}

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Results

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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%

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

Alternatives

Alternative 1
Accuracy64.9%
Cost15204
\[\begin{array}{l} t_0 := \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_3 := \frac{EAccept}{KbT} + 2\\ t_4 := t_1 + \frac{NaChar}{t_3 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{if}\;Vef \leq -1.1 \cdot 10^{-34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.4 \cdot 10^{-94}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -2 \cdot 10^{-102}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq -2.5 \cdot 10^{-166}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq -2 \cdot 10^{-218}:\\ \;\;\;\;t_1 + \frac{-0.25}{KbT} \cdot \left(Vef \cdot NaChar\right)\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{-212}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 0.115:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 4.3 \cdot 10^{+48}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 6.2 \cdot 10^{+77}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_3}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 2
Accuracy60.3%
Cost15144
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef - mu}{KbT}}}\\ t_3 := \frac{EAccept}{KbT} + 2\\ t_4 := t_1 + \frac{NaChar}{t_3}\\ \mathbf{if}\;NdChar \leq -1.6 \cdot 10^{+184}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -1.8 \cdot 10^{+125}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -3.4 \cdot 10^{+31}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.3 \cdot 10^{-131}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -5.6 \cdot 10^{-176}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 3.4 \cdot 10^{-308}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.15 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 3.8 \cdot 10^{+90}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_3 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;NdChar \leq 1.75 \cdot 10^{+135}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + 2\right) + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ \mathbf{elif}\;NdChar \leq 1.55 \cdot 10^{+161}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Accuracy68.9%
Cost15072
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;mu \leq -5.2 \cdot 10^{+216}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Vef - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -3.3 \cdot 10^{+131}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -7 \cdot 10^{+20}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3.2 \cdot 10^{-280}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.6 \cdot 10^{-116}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;mu \leq 9.8 \cdot 10^{-45}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 1.56 \cdot 10^{+43}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 6.4 \cdot 10^{+91}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 4
Accuracy70.6%
Cost15068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NaChar \leq -6 \cdot 10^{-144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.7 \cdot 10^{-210}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -8.5 \cdot 10^{-212}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;NaChar \leq 4.8 \cdot 10^{-110}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 9.2 \cdot 10^{+38}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 2.7 \cdot 10^{+81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 4 \cdot 10^{+187}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 5
Accuracy58.4%
Cost14880
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := \frac{EAccept}{KbT} + 2\\ t_4 := t_2 + \frac{NaChar}{t_3}\\ \mathbf{if}\;NdChar \leq -7.5 \cdot 10^{+190}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -6 \cdot 10^{+117}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -1.35 \cdot 10^{+102}:\\ \;\;\;\;t_2 + \frac{-0.25}{KbT} \cdot \left(Vef \cdot NaChar\right)\\ \mathbf{elif}\;NdChar \leq -1.1 \cdot 10^{-131}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -7.2 \cdot 10^{-179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 4.8 \cdot 10^{-156}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.46 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 3.15:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.2 \cdot 10^{+71}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 2 \cdot 10^{+87}:\\ \;\;\;\;t_2 + \frac{NaChar}{t_3 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;NdChar \leq 5.3 \cdot 10^{+132}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + 2\right) + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 6
Accuracy70.8%
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;Ev \leq -7 \cdot 10^{+146}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1.1 \cdot 10^{+65}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -8.8 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -3.6 \cdot 10^{-75}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ev \leq -4.9 \cdot 10^{-175}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 7
Accuracy58.6%
Cost14748
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -1.45 \cdot 10^{+184}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -1.6 \cdot 10^{+117}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -1.7 \cdot 10^{+102}:\\ \;\;\;\;t_3 + \frac{-0.25}{KbT} \cdot \left(Vef \cdot NaChar\right)\\ \mathbf{elif}\;NdChar \leq -1.1 \cdot 10^{-131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -2.05 \cdot 10^{-178}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 9.8 \cdot 10^{-156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 370000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 2.15 \cdot 10^{+133}:\\ \;\;\;\;t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + 2\right) + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 8
Accuracy76.6%
Cost14544
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.8 \cdot 10^{-31}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{-179}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.56 \cdot 10^{+50}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 5.7 \cdot 10^{+65}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \end{array} \]
Alternative 9
Accuracy78.0%
Cost14409
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{if}\;mu \leq -1300 \lor \neg \left(mu \leq 1.55 \cdot 10^{+53}\right):\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \end{array} \]
Alternative 10
Accuracy58.9%
Cost14024
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{EAccept}{KbT} + 2\\ t_3 := t_1 + \frac{NaChar}{t_2 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ t_4 := t_1 + \frac{NaChar}{t_2}\\ \mathbf{if}\;NdChar \leq -1.45 \cdot 10^{+184}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -6.6 \cdot 10^{+116}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq -1.75 \cdot 10^{+102}:\\ \;\;\;\;t_1 + \frac{-0.25}{KbT} \cdot \left(Vef \cdot NaChar\right)\\ \mathbf{elif}\;NdChar \leq -1.1 \cdot 10^{-131}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -1.42 \cdot 10^{-183}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 5.5 \cdot 10^{-80}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 32:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 2.8 \cdot 10^{+69}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 5.8 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 5.5 \cdot 10^{+132}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + 2\right) + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 11
Accuracy49.1%
Cost9573
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{mu}{KbT} + 2\\ t_3 := t_0 + \frac{NdChar}{t_2 + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ t_4 := \frac{EAccept}{KbT} + 2\\ t_5 := t_1 + \frac{NaChar}{t_4 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{if}\;EAccept \leq -2.75 \cdot 10^{-45}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq -2.4 \cdot 10^{-252}:\\ \;\;\;\;t_1 + NaChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 1.85 \cdot 10^{-65}:\\ \;\;\;\;t_0 + \frac{NdChar}{t_2}\\ \mathbf{elif}\;EAccept \leq 55000000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{+86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 1.95 \cdot 10^{+132}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 1.06 \cdot 10^{+173}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq 4.8 \cdot 10^{+235} \lor \neg \left(EAccept \leq 1.02 \cdot 10^{+266}\right):\\ \;\;\;\;t_1 + \frac{NaChar}{t_4}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 12
Accuracy59.8%
Cost9312
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{EAccept}{KbT} + 2\\ t_3 := t_1 + \frac{NaChar}{t_2 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ t_4 := t_1 + \frac{NaChar}{t_2}\\ \mathbf{if}\;NdChar \leq -1.32 \cdot 10^{+102}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -1.3 \cdot 10^{-131}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -1.7 \cdot 10^{-175}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 1.05 \cdot 10^{-80}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 25:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 2 \cdot 10^{+68}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 7.2 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 5.4 \cdot 10^{+132}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + 2\right) + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 13
Accuracy49.5%
Cost9176
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{mu}{KbT} + 2\\ t_3 := t_0 + \frac{NdChar}{t_2}\\ t_4 := \frac{EAccept}{KbT} + 2\\ t_5 := t_1 + \frac{NaChar}{t_4 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{if}\;EAccept \leq -5.4 \cdot 10^{-45}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq -8.6 \cdot 10^{-256}:\\ \;\;\;\;t_1 + NaChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 6.7 \cdot 10^{-65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 7500000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 9.8 \cdot 10^{+50}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}} + \frac{NdChar}{t_2 + 0.5 \cdot \frac{mu \cdot mu}{KbT \cdot KbT}}\\ \mathbf{elif}\;EAccept \leq 5 \cdot 10^{+132}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 1.05 \cdot 10^{+173}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq 4.8 \cdot 10^{+235} \lor \neg \left(EAccept \leq 1.3 \cdot 10^{+266}\right):\\ \;\;\;\;t_1 + \frac{NaChar}{t_4}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 14
Accuracy60.4%
Cost8009
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -8 \cdot 10^{-78} \lor \neg \left(NaChar \leq 6.8 \cdot 10^{+97}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 15
Accuracy60.0%
Cost8009
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -3 \cdot 10^{-211} \lor \neg \left(NaChar \leq 5.5 \cdot 10^{+97}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 16
Accuracy49.9%
Cost7820
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.4 \cdot 10^{+195}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 1.35 \cdot 10^{+140}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 3.3 \cdot 10^{+182}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot Ev}{KbT}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \end{array} \]
Alternative 17
Accuracy44.4%
Cost7756
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -5.2 \cdot 10^{-176}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.5 \cdot 10^{-245}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 4.5 \cdot 10^{+134}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 18
Accuracy43.8%
Cost7756
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -2.7 \cdot 10^{-227}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 2.95 \cdot 10^{-245}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot Ev}{KbT}\\ \mathbf{elif}\;NaChar \leq 1.85 \cdot 10^{+133}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 19
Accuracy57.1%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.32 \cdot 10^{-79} \lor \neg \left(NaChar \leq 4.6 \cdot 10^{+97}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 20
Accuracy39.0%
Cost7500
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.28 \cdot 10^{-79}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 2.5 \cdot 10^{-245}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.3 \cdot 10^{+106}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 21
Accuracy39.5%
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.66 \cdot 10^{-211}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 6.2 \cdot 10^{-60}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 22
Accuracy39.1%
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.32 \cdot 10^{-79}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.18 \cdot 10^{-9}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 23
Accuracy35.9%
Cost7236
\[\begin{array}{l} \mathbf{if}\;KbT \leq 6.7 \cdot 10^{-221}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 24
Accuracy35.5%
Cost7104
\[\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2} \]
Alternative 25
Accuracy27.8%
Cost1865
\[\begin{array}{l} \mathbf{if}\;Ec \leq 1.45 \cdot 10^{+118} \lor \neg \left(Ec \leq 1.12 \cdot 10^{+198}\right):\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2 + \frac{EDonor}{KbT}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \end{array} \]
Alternative 26
Accuracy28.2%
Cost448
\[\frac{NdChar}{2} + \frac{NaChar}{2} \]
Alternative 27
Accuracy18.3%
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023138 
(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))))))