?

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
Accuracy67.2%
Cost15728
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_4 := t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2.2 \cdot 10^{-78}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq -1.12 \cdot 10^{-170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq -6 \cdot 10^{-278}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{-184}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 4.8 \cdot 10^{-123}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 1.3 \cdot 10^{-101}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{-62}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.6 \cdot 10^{-20}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 3.3 \cdot 10^{-17}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{+23}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.05 \cdot 10^{+113}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 2 \cdot 10^{+163}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 2
Accuracy62.1%
Cost15212
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;EDonor \leq -3.5 \cdot 10^{+195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -3 \cdot 10^{+109}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -3.4 \cdot 10^{+108}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -6 \cdot 10^{-63}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -1.15 \cdot 10^{-94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -3.55 \cdot 10^{-121}:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EDonor \leq -4 \cdot 10^{-219}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 7.5 \cdot 10^{-165}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 2.75 \cdot 10^{+126}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 2 \cdot 10^{+224}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 7 \cdot 10^{+254}:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{EDonor}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Accuracy54.0%
Cost14816
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ t_3 := t_0 + NdChar \cdot 0.5\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -4.2 \cdot 10^{+201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.55 \cdot 10^{+183}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-153}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{-256}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 2.3 \cdot 10^{-213}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{mu}\\ \mathbf{elif}\;KbT \leq 6.1 \cdot 10^{-145}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 2.3 \cdot 10^{-113}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;KbT \leq 6.4 \cdot 10^{-79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{+22}:\\ \;\;\;\;t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \frac{\frac{KbT}{EDonor} + \frac{KbT}{Vef}}{\frac{KbT \cdot \frac{KbT}{Vef}}{EDonor}}\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{+77}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{2}\\ \end{array} \]
Alternative 4
Accuracy56.1%
Cost14816
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq -1.3 \cdot 10^{-27}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_2\\ \mathbf{elif}\;EAccept \leq -2.35 \cdot 10^{-294}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 6.5 \cdot 10^{-235}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 3.15 \cdot 10^{-46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 14500000:\\ \;\;\;\;t_3 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 6.2 \cdot 10^{+15}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 2 \cdot 10^{+70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.45 \cdot 10^{+153}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_2\\ \end{array} \]
Alternative 5
Accuracy53.8%
Cost14816
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_3 := t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;EAccept \leq -6.2 \cdot 10^{-45}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq -9.2 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 7.4 \cdot 10^{-236}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.8 \cdot 10^{-46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2100000000:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 1.8 \cdot 10^{+16}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 1.4 \cdot 10^{+71}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.2 \cdot 10^{+154}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 6
Accuracy70.6%
Cost14804
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;mu \leq -3.2 \cdot 10^{-29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -6.1 \cdot 10^{-108}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq 7.5 \cdot 10^{-91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.95 \cdot 10^{-19}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq 1.95 \cdot 10^{+121}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \end{array} \]
Alternative 7
Accuracy63.2%
Cost14748
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{if}\;mu \leq -3.2 \cdot 10^{+145}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4 \cdot 10^{-72}:\\ \;\;\;\;t_3 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;mu \leq -3.05 \cdot 10^{-106}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 1.5 \cdot 10^{-300}:\\ \;\;\;\;t_3 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;mu \leq 1.7 \cdot 10^{-18}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.25 \cdot 10^{+98}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.18 \cdot 10^{+111}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 8
Accuracy73.6%
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.56 \cdot 10^{+212}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -2.5 \cdot 10^{-123}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -6.2 \cdot 10^{-253}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq 2 \cdot 10^{+164}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Accuracy76.9%
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.45 \cdot 10^{+38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 2.8 \cdot 10^{-162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 5.6 \cdot 10^{-12}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + EAccept\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.45 \cdot 10^{+164}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 10
Accuracy52.6%
Cost10362
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := t_0 + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{0.5 \cdot \left(mu \cdot mu\right)}{KbT \cdot KbT}\right)}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2}\\ t_5 := t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ t_6 := t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;Ec \leq -1 \cdot 10^{+219}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -1.6 \cdot 10^{+170}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -5.2 \cdot 10^{+134}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq -25500000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -4.5 \cdot 10^{-109}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -1.1 \cdot 10^{-147}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -6.6 \cdot 10^{-206}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq -1.75 \cdot 10^{-228}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -7 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -4.8 \cdot 10^{-270}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq 1.4 \cdot 10^{-232} \lor \neg \left(Ec \leq 3.4 \cdot 10^{-141}\right) \land \left(Ec \leq 3.4 \cdot 10^{-106} \lor \neg \left(Ec \leq 2.3 \cdot 10^{-48}\right)\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 11
Accuracy51.8%
Cost10344
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + NdChar \cdot 0.5\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2}\\ t_4 := t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -4.5 \cdot 10^{+201}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{+173}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.35 \cdot 10^{-154}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -3.5 \cdot 10^{-219}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-259}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-213}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{mu}\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{-150}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-117}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{-Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-81}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 7.8 \cdot 10^{+21}:\\ \;\;\;\;t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \frac{\frac{KbT}{EDonor} + \frac{KbT}{Vef}}{\frac{KbT \cdot \frac{KbT}{Vef}}{EDonor}}\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{+60}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 12
Accuracy47.2%
Cost8936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar \cdot KbT}{mu}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;KbT \leq -4.45 \cdot 10^{+201}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{+182}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -1.06 \cdot 10^{-194}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.05 \cdot 10^{-270}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-257}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.95 \cdot 10^{-213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;t_3 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-113}:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-73}:\\ \;\;\;\;t_3 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 6.6 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 13
Accuracy47.1%
Cost8936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{KbT \cdot NaChar}{EAccept}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar \cdot KbT}{mu}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -2.35 \cdot 10^{+201}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -3.9 \cdot 10^{+179}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-193}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -7.2 \cdot 10^{-273}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{-259}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 3.4 \cdot 10^{-213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{-149}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 10^{-116}:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{-Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-72}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 14
Accuracy60.3%
Cost8776
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -5 \cdot 10^{-11}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 3 \cdot 10^{-82}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 15
Accuracy45.3%
Cost8676
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -3.9 \cdot 10^{-126}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -4.9 \cdot 10^{-200}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-279}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-255}:\\ \;\;\;\;\frac{NdChar}{t_0} + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.25 \cdot 10^{-213}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef} + \frac{NaChar}{t_0}\\ \mathbf{elif}\;KbT \leq 3.05 \cdot 10^{-145}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{-116}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 4.3 \cdot 10^{-116}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{elif}\;KbT \leq 2.05 \cdot 10^{-70}:\\ \;\;\;\;t_1 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 16
Accuracy36.9%
Cost8024
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{if}\;KbT \leq -1.75 \cdot 10^{-78}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-198}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.75 \cdot 10^{-234}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-256}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.95 \cdot 10^{-213}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-178}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 17
Accuracy37.2%
Cost8024
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{if}\;KbT \leq -5.2 \cdot 10^{-79}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -1.35 \cdot 10^{-203}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.7 \cdot 10^{-234}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 3.1 \cdot 10^{-257}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{-213}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{-71}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 18
Accuracy36.9%
Cost8024
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -1.5 \cdot 10^{-80}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -8.5 \cdot 10^{-202}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq -6.5 \cdot 10^{-232}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 3.4 \cdot 10^{-258}:\\ \;\;\;\;\frac{NdChar}{t_1} + \frac{NaChar}{\frac{EAccept}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{-217}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{t_1}\\ \mathbf{elif}\;KbT \leq 9.8 \cdot 10^{-65}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 19
Accuracy37.0%
Cost8024
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{Ev}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -9 \cdot 10^{-81}:\\ \;\;\;\;t_1 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -1 \cdot 10^{-201}:\\ \;\;\;\;t_1 + t_0\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{-231}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.8 \cdot 10^{-255}:\\ \;\;\;\;\frac{NdChar}{t_2} + t_0\\ \mathbf{elif}\;KbT \leq 1.95 \cdot 10^{-213}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{t_2}\\ \mathbf{elif}\;KbT \leq 1.8 \cdot 10^{-65}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 20
Accuracy37.1%
Cost8024
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -1.35 \cdot 10^{-77}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-203}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq -3.5 \cdot 10^{-232}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-258}:\\ \;\;\;\;\frac{NdChar}{t_1} + \frac{KbT \cdot NaChar}{Ev}\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{-213}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef} + \frac{NaChar}{t_1}\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{-73}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 21
Accuracy58.7%
Cost8009
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -6 \cdot 10^{-11} \lor \neg \left(NdChar \leq 4 \cdot 10^{-82}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \end{array} \]
Alternative 22
Accuracy55.9%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -8.2 \cdot 10^{-11} \lor \neg \left(NdChar \leq 1.7 \cdot 10^{-89}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 23
Accuracy39.1%
Cost7632
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;Vef \leq -3.4 \cdot 10^{+123}:\\ \;\;\;\;\frac{NdChar}{t_0} + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq -1.8 \cdot 10^{-115}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -3.4 \cdot 10^{-204}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 2.4 \cdot 10^{+204}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{t_0}\\ \end{array} \]
Alternative 24
Accuracy34.8%
Cost7500
\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;KbT \leq -7 \cdot 10^{-101}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-279}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{-140}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 25
Accuracy39.6%
Cost7369
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -0.023 \lor \neg \left(NdChar \leq 1.9 \cdot 10^{-165}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 26
Accuracy38.8%
Cost7368
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.6 \cdot 10^{-123}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 3.5 \cdot 10^{-167}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 27
Accuracy36.7%
Cost7236
\[\begin{array}{l} \mathbf{if}\;Ev \leq -2.3 \cdot 10^{-33}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 28
Accuracy35.0%
Cost7104
\[\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5 \]
Alternative 29
Accuracy20.5%
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.95 \cdot 10^{-116}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{-113}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 30
Accuracy27.6%
Cost448
\[\frac{NaChar}{2} + NdChar \cdot 0.5 \]
Alternative 31
Accuracy18.5%
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023137 
(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))))))