?

Average Accuracy: 100.0% → 100.0%
Time: 1.1min
Precision: binary64
Cost: 14528

?

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

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

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

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

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

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

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

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

Error?

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Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 100.0%

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

  2. Simplified100.0%

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

    [Start]100.0

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

    neg-sub0 [=>]100.0

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

    associate--r- [=>]100.0

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

    +-commutative [=>]100.0

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

    sub0-neg [=>]100.0

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

    sub-neg [<=]100.0

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

    associate-+l+ [=>]100.0

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

    +-commutative [=>]100.0

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

    unsub-neg [=>]100.0

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

  3. Final simplification100.0%

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

Alternatives

Alternative 1
Accuracy56.6%
Cost15468
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := t_1 + t_0\\ t_3 := Vef + \left(mu + EDonor\right)\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{t_3}{KbT}}} + t_5\\ t_7 := \frac{NdChar}{1 + e^{\frac{t_3 - Ec}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.8 \cdot 10^{+119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -4.2 \cdot 10^{-95}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq -1.1 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -1.95 \cdot 10^{-233}:\\ \;\;\;\;t_5 + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 1.02 \cdot 10^{-258}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;EAccept \leq 1.85 \cdot 10^{-215}:\\ \;\;\;\;t_5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.6 \cdot 10^{-172}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu}{KbT \cdot \frac{KbT}{mu}} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 1.38 \cdot 10^{-129}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 7 \cdot 10^{-44}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;EAccept \leq 3.5 \cdot 10^{-18}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;EAccept \leq 1.35 \cdot 10^{+29}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 9.2 \cdot 10^{+222}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \end{array} \]
Alternative 2
Accuracy54.8%
Cost15408
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := 1 + e^{\frac{Vef}{KbT}}\\ t_5 := \frac{NaChar}{t_4} + \frac{NdChar}{t_4}\\ t_6 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;Ec \leq -4.8 \cdot 10^{+284}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Ec \leq -1.42 \cdot 10^{+110}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq -3.15 \cdot 10^{-43}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -2.65 \cdot 10^{-129}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq -2.1 \cdot 10^{-178}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_3\\ \mathbf{elif}\;Ec \leq -4.2 \cdot 10^{-210}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq -1.05 \cdot 10^{-262}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu}{KbT \cdot \frac{KbT}{mu}} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Ec \leq 3 \cdot 10^{-309}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq 4 \cdot 10^{-309}:\\ \;\;\;\;t_6 + \frac{NaChar}{2}\\ \mathbf{elif}\;Ec \leq 2 \cdot 10^{-41}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;Ec \leq 2.4 \cdot 10^{+74}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ec \leq 2.4 \cdot 10^{+148}:\\ \;\;\;\;t_1 + t_6\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \end{array} \]
Alternative 3
Accuracy61.9%
Cost15344
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NaChar}{t_1} + \frac{NdChar}{t_1}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;Vef \leq -2.9 \cdot 10^{+142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.2 \cdot 10^{+99}:\\ \;\;\;\;t_4 + \frac{NaChar}{2 + \left(0.5 \cdot \left(\left(mu \cdot \frac{mu}{KbT}\right) \cdot \frac{1}{KbT}\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq -8.6 \cdot 10^{+48}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -5.6 \cdot 10^{+31}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -1.48 \cdot 10^{-64}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -1.42 \cdot 10^{-201}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_5\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{-187}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 6.4 \cdot 10^{-142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 6 \cdot 10^{-137}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_5\\ \mathbf{elif}\;Vef \leq 2.4 \cdot 10^{-82}:\\ \;\;\;\;t_4 + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu}{\frac{KbT \cdot KbT}{mu}} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 1.05 \cdot 10^{-5}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.5 \cdot 10^{+148}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 4
Accuracy74.3%
Cost15068
\[\begin{array}{l} t_0 := Vef + \left(mu + EDonor\right)\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{t_0}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.6 \cdot 10^{+142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -2.1 \cdot 10^{+99}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \left(0.5 \cdot \left(\left(mu \cdot \frac{mu}{KbT}\right) \cdot \frac{1}{KbT}\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq -1.3 \cdot 10^{+75}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -3 \cdot 10^{+23}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 7.6 \cdot 10^{-190}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.65 \cdot 10^{-143}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{t_0 - Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{+102}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 5
Accuracy76.5%
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -4 \cdot 10^{+142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -6 \cdot 10^{+29}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -1.45 \cdot 10^{-208}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 8.8 \cdot 10^{-122}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.12 \cdot 10^{+103}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Accuracy73.2%
Cost14737
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.95 \cdot 10^{+148}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -21000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1.9 \cdot 10^{-77} \lor \neg \left(Ev \leq -1.25 \cdot 10^{-211}\right):\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \end{array} \]
Alternative 7
Accuracy72.9%
Cost14673
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.65 \cdot 10^{+148}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -27500 \lor \neg \left(Ev \leq -3.5 \cdot 10^{-135}\right) \land Ev \leq -1.2 \cdot 10^{-206}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 8
Accuracy62.8%
Cost14552
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -8.2 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -6.8 \cdot 10^{-290}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 2.8 \cdot 10^{-279}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 7.5 \cdot 10^{-152}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 4.8 \cdot 10^{-122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.05 \cdot 10^{-85}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 2.8 \cdot 10^{-61}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;NdChar \leq 6.2 \cdot 10^{-37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 8.4 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 3.5 \cdot 10^{+116}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Accuracy61.0%
Cost14552
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -2.1 \cdot 10^{+30}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -5 \cdot 10^{-290}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;NdChar \leq 5.5 \cdot 10^{-280}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 9 \cdot 10^{-152}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 5.5 \cdot 10^{-125}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 1.2 \cdot 10^{-85}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 5.6 \cdot 10^{-56}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;NdChar \leq 2.8 \cdot 10^{-36}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 8.6 \cdot 10^{-16}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 3.1 \cdot 10^{+116}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 10
Accuracy62.8%
Cost14420
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.18 \cdot 10^{+148}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \left(0.5 \cdot \left(\left(mu \cdot \frac{mu}{KbT}\right) \cdot \frac{1}{KbT}\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -4.2 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.15 \cdot 10^{-284}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-184}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{t_0}\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-140}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{+157}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 11
Accuracy62.9%
Cost14288
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -9.5 \cdot 10^{+147}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \left(0.5 \cdot \left(\left(mu \cdot \frac{mu}{KbT}\right) \cdot \frac{1}{KbT}\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-306}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{-140}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{+155}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 12
Accuracy62.2%
Cost14288
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -1 \cdot 10^{+148}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \left(0.5 \cdot \left(\left(mu \cdot \frac{mu}{KbT}\right) \cdot \frac{1}{KbT}\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -4.7 \cdot 10^{-173}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.2 \cdot 10^{-284}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.6 \cdot 10^{-114}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{t_0}\\ \mathbf{elif}\;KbT \leq 5.4 \cdot 10^{+157}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 13
Accuracy60.7%
Cost9040
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \left(0.5 \cdot \left(\left(mu \cdot \frac{mu}{KbT}\right) \cdot \frac{1}{KbT}\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;KbT \leq -1.08 \cdot 10^{+148}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -3.2 \cdot 10^{-207}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.6 \cdot 10^{-308}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.1 \cdot 10^{-266}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 7.4 \cdot 10^{-240}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-140}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 14
Accuracy60.5%
Cost8912
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -3.6 \cdot 10^{+165}:\\ \;\;\;\;t_2 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -2.6 \cdot 10^{-205}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.7 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 6.1 \cdot 10^{-266}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \left(0.5 \cdot \frac{mu}{KbT \cdot \frac{KbT}{mu}} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 7.4 \cdot 10^{-240}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-140}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 2.15 \cdot 10^{+158}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 15
Accuracy60.6%
Cost8536
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -4.5 \cdot 10^{+164}:\\ \;\;\;\;t_2 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{-208}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.6 \cdot 10^{-308}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 6.1 \cdot 10^{-266}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{-219}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-140}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{+157}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 16
Accuracy60.5%
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -9 \cdot 10^{+165}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{-208}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -9 \cdot 10^{-309}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.1 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.35 \cdot 10^{-229}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 6 \cdot 10^{-197}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{+156}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 17
Accuracy61.6%
Cost8412
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.9 \cdot 10^{+168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.8 \cdot 10^{-208}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.4 \cdot 10^{-308}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 6.1 \cdot 10^{-266}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 7.6 \cdot 10^{-240}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 6 \cdot 10^{-197}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{+156}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 18
Accuracy39.2%
Cost8092
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -3.5 \cdot 10^{-67}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -1.8 \cdot 10^{-157}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq -1.75 \cdot 10^{-175}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 3.5 \cdot 10^{-106}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 3.1 \cdot 10^{+75}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 10^{+145}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 4 \cdot 10^{+216}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 19
Accuracy60.7%
Cost7888
\[\begin{array}{l} t_0 := Vef + \left(mu + EDonor\right)\\ t_1 := \frac{NdChar}{1 + e^{\frac{t_0 - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -9.6 \cdot 10^{+165}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{-208}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-308}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.85 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{t_0}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 20
Accuracy37.3%
Cost7765
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;EAccept \leq 1.95 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.4 \cdot 10^{+112}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 8.5 \cdot 10^{+125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 6 \cdot 10^{+196} \lor \neg \left(EAccept \leq 1.05 \cdot 10^{+248}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 21
Accuracy61.0%
Cost7761
\[\begin{array}{l} \mathbf{if}\;KbT \leq -9 \cdot 10^{+169}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -6.1 \cdot 10^{-208} \lor \neg \left(KbT \leq -1.6 \cdot 10^{-308}\right) \land KbT \leq 2.2 \cdot 10^{+158}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 22
Accuracy38.7%
Cost7632
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -4.8 \cdot 10^{-102}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 3.45 \cdot 10^{-146}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.76 \cdot 10^{+146}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 2.7 \cdot 10^{+279}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 23
Accuracy39.9%
Cost7632
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -6 \cdot 10^{+14}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 8.2 \cdot 10^{-243}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.1 \cdot 10^{-23}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 0.013:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 24
Accuracy34.7%
Cost7369
\[\begin{array}{l} \mathbf{if}\;KbT \leq 3.6 \cdot 10^{-286} \lor \neg \left(KbT \leq 4.9 \cdot 10^{-76}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 25
Accuracy37.5%
Cost7236
\[\begin{array}{l} \mathbf{if}\;EAccept \leq 2.2 \cdot 10^{+17}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 26
Accuracy28.2%
Cost1736
\[\begin{array}{l} \mathbf{if}\;KbT \leq 1.55 \cdot 10^{-287}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{-76}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 27
Accuracy28.7%
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq 1.55 \cdot 10^{-286} \lor \neg \left(KbT \leq 1.35 \cdot 10^{-76}\right):\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 28
Accuracy28.2%
Cost320
\[0.5 \cdot \left(NdChar + NaChar\right) \]
Alternative 29
Accuracy18.9%
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023133 
(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))))))