?

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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Your Program's Arguments

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
Accuracy55.6%
Cost15868
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu + Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + NaChar\\ t_4 := t_2 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{if}\;EAccept \leq -5.8 \cdot 10^{-21}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq -1.22 \cdot 10^{-199}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -4.8 \cdot 10^{-302}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;EAccept \leq 8.2 \cdot 10^{-254}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 4.9 \cdot 10^{-213}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 3.8 \cdot 10^{-170}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 8.2 \cdot 10^{-129}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;EAccept \leq 1.5 \cdot 10^{-107}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 3.9 \cdot 10^{-66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 8.8 \cdot 10^{-52}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.7 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 3.7 \cdot 10^{+63}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 3.3 \cdot 10^{+126}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 4.5 \cdot 10^{+216}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 10^{+250}:\\ \;\;\;\;t_2 + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 2
Accuracy61.7%
Cost15600
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu + \left(Vef + EDonor\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + NaChar\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_5 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + Vef\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -8.6 \cdot 10^{+200}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -1.75 \cdot 10^{+15}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -1.15 \cdot 10^{-35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-184}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{-227}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu + Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-261}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-168}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 1.95 \cdot 10^{-78}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{-43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{+72}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 2.15 \cdot 10^{+114}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{+212}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Accuracy65.7%
Cost15073
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 + e^{\frac{mu + \left(Vef + EDonor\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.8 \cdot 10^{-10}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -4 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.5 \cdot 10^{-202}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{mu + Vef}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 2.3 \cdot 10^{-263}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 10^{-107}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 2.35 \cdot 10^{-35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 5.2 \cdot 10^{-11} \lor \neg \left(NdChar \leq 1.9 \cdot 10^{+62}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 4
Accuracy67.5%
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu + \left(Vef + EDonor\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.6 \cdot 10^{-125}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -3.3 \cdot 10^{-274}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.85 \cdot 10^{-213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.05 \cdot 10^{-129}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;EAccept \leq 4.5 \cdot 10^{-108}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 3.3 \cdot 10^{-15}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 5
Accuracy70.5%
Cost14672
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq 4.8 \cdot 10^{-213}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.2 \cdot 10^{-129}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;EAccept \leq 6.7 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 4 \cdot 10^{-16}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu + \left(Vef + EDonor\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 6
Accuracy74.9%
Cost14544
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu + \left(Vef + EDonor\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -5.7 \cdot 10^{+76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.45 \cdot 10^{-116}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -1.8 \cdot 10^{-184}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 14200000000:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Accuracy78.0%
Cost14540
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.5 \cdot 10^{+16}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -7.5 \cdot 10^{-292}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 3.6 \cdot 10^{+49}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 8
Accuracy72.7%
Cost14408
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -4.1 \cdot 10^{-7}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq 1.05 \cdot 10^{-290}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 9
Accuracy59.3%
Cost9696
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{if}\;KbT \leq -1.8 \cdot 10^{+201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -6 \cdot 10^{-53}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + 2\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq -8.6 \cdot 10^{-132}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-218}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq 5.3 \cdot 10^{-42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{+69}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 3.15 \cdot 10^{+209}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 10
Accuracy62.8%
Cost9044
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -9.6 \cdot 10^{+200}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2 \cdot 10^{-220}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{-43}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{+70}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{+210}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 11
Accuracy33.5%
Cost8616
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + t_0\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ t_3 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_4 := t_3 + \frac{KbT}{\frac{Vef}{NdChar}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{if}\;EAccept \leq -1.85 \cdot 10^{-135}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -5.3 \cdot 10^{-188}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 6.2 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.06 \cdot 10^{-18}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 7.5 \cdot 10^{-6}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 9 \cdot 10^{+81}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.6 \cdot 10^{+130}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.75 \cdot 10^{+216}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 7.5 \cdot 10^{+249}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 8 \cdot 10^{+260}:\\ \;\;\;\;t_3 + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Accuracy33.6%
Cost8552
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{Vef}{NdChar}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{if}\;EAccept \leq -1.6 \cdot 10^{-135}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -4.15 \cdot 10^{-187}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 6.2 \cdot 10^{-51}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{-17}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.8 \cdot 10^{+130}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 5.8 \cdot 10^{+212}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 1.8 \cdot 10^{+252}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.1 \cdot 10^{+284}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \end{array} \]
Alternative 13
Accuracy61.3%
Cost8536
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ t_3 := t_1 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{if}\;NdChar \leq -6.2 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -4.8 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -1.55 \cdot 10^{-259}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 3.4 \cdot 10^{-132}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;NdChar \leq 2.7 \cdot 10^{-89}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-31}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Accuracy65.2%
Cost8396
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -1 \cdot 10^{+201}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -3.6 \cdot 10^{-215}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{-261}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{\left(Vef + \left(Ev + EAccept\right)\right) - mu}\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{+209}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 15
Accuracy36.5%
Cost8024
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.15 \cdot 10^{-126}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-303}:\\ \;\;\;\;t_2 - \frac{KbT \cdot NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-248}:\\ \;\;\;\;t_1 + \frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-216}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-131}:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 10^{-87}:\\ \;\;\;\;t_2 + t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 16
Accuracy36.8%
Cost8021
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.18 \cdot 10^{-126}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -2.35 \cdot 10^{-268}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} - \frac{KbT \cdot NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-133}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-102} \lor \neg \left(KbT \leq 3.15 \cdot 10^{+209}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{EAccept}{KbT}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \end{array} \]
Alternative 17
Accuracy37.0%
Cost8020
\[\begin{array}{l} t_0 := \frac{KbT \cdot NaChar}{mu}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -9.2 \cdot 10^{-127}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{-304}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} - t_0\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-248}:\\ \;\;\;\;\frac{NaChar}{t_1} + \frac{NdChar \cdot KbT}{EDonor}\\ \mathbf{elif}\;KbT \leq 2.5 \cdot 10^{-144}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} - t_0\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{+212}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{EAccept}{KbT}} + \frac{NdChar}{t_1}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 18
Accuracy62.8%
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + NaChar\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -1.75 \cdot 10^{+202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-247}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} - \frac{KbT \cdot NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{+210}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 19
Accuracy64.6%
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -1.6 \cdot 10^{+202}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2.8 \cdot 10^{-244}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.02 \cdot 10^{+210}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 20
Accuracy61.5%
Cost7888
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + NaChar\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -2 \cdot 10^{+202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-247}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} - \frac{KbT \cdot NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{+214}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Accuracy35.6%
Cost7760
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.8 \cdot 10^{-190}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -7.4 \cdot 10^{-274}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;KbT \leq -4.4 \cdot 10^{-293}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq 2.55 \cdot 10^{-166}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NdChar}{mu}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 22
Accuracy44.8%
Cost7756
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(Vef + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -7.2 \cdot 10^{-64}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -4.2 \cdot 10^{-264}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 7.8 \cdot 10^{-132}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 23
Accuracy36.1%
Cost7500
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;EAccept \leq 3.85 \cdot 10^{-60}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 1.5 \cdot 10^{+24}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 1.1 \cdot 10^{+159}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 24
Accuracy39.7%
Cost7497
\[\begin{array}{l} \mathbf{if}\;Vef \leq -1.75 \cdot 10^{+144} \lor \neg \left(Vef \leq 10^{+148}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 25
Accuracy35.1%
Cost7496
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.7 \cdot 10^{-188}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 9.2 \cdot 10^{-167}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + KbT \cdot \frac{NdChar}{mu}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 26
Accuracy34.3%
Cost7432
\[\begin{array}{l} \mathbf{if}\;KbT \leq -4.7 \cdot 10^{-184}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 7.4 \cdot 10^{-134}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 27
Accuracy31.2%
Cost7369
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1 \cdot 10^{-309} \lor \neg \left(KbT \leq 1.65 \cdot 10^{+217}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \end{array} \]
Alternative 28
Accuracy34.5%
Cost7236
\[\begin{array}{l} \mathbf{if}\;KbT \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 29
Accuracy27.6%
Cost2384
\[\begin{array}{l} t_0 := \frac{Vef}{KbT} + 2\\ \mathbf{if}\;KbT \leq -166:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-193}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.06 \cdot 10^{-275}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT}} + \frac{NaChar}{t_0}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+217}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{EAccept}{KbT}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{\left(\frac{EAccept}{KbT} + t_0\right) + KbT \cdot \left(\left(Ev - mu\right) \cdot \frac{1}{KbT \cdot KbT}\right)}\\ \end{array} \]
Alternative 30
Accuracy27.7%
Cost2384
\[\begin{array}{l} t_0 := \frac{Vef}{KbT} + 2\\ \mathbf{if}\;KbT \leq -170:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -1.45 \cdot 10^{-195}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 7.2 \cdot 10^{-298}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT}} + \frac{NaChar}{t_0}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+217}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{\left(\frac{EAccept}{KbT} + t_0\right) + KbT \cdot \left(\left(Ev - mu\right) \cdot \frac{1}{KbT \cdot KbT}\right)}\\ \end{array} \]
Alternative 31
Accuracy27.3%
Cost1232
\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + NaChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -0.465:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.2 \cdot 10^{-169}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-57}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{Vef}{KbT}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+217}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{EAccept}{KbT}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 32
Accuracy27.7%
Cost1232
\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + NaChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -175:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-191}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-264}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT}} + \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+217}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{EAccept}{KbT}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 33
Accuracy27.5%
Cost969
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.35 \cdot 10^{+87} \lor \neg \left(KbT \leq 1.5 \cdot 10^{+217}\right):\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + \frac{EAccept}{KbT}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 34
Accuracy26.6%
Cost448
\[NdChar \cdot 0.5 + NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023140 
(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))))))