?

Average Accuracy: 100.0% → 99.9%
Time: 1.4min
Precision: binary64
Cost: 27456

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + {\left({\left(e^{\frac{\left(Vef + EDonor\right) + \left(mu - Ec\right)}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]
(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
    (pow
     (pow (exp (/ (+ (+ Vef EDonor) (- mu Ec)) KbT)) 3.0)
     0.3333333333333333)))
  (/ 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 + pow(pow(exp((((Vef + EDonor) + (mu - Ec)) / KbT)), 3.0), 0.3333333333333333))) + (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((((vef + edonor) + (mu - ec)) / kbt)) ** 3.0d0) ** 0.3333333333333333d0))) + (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.pow(Math.pow(Math.exp((((Vef + EDonor) + (mu - Ec)) / KbT)), 3.0), 0.3333333333333333))) + (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.pow(math.pow(math.exp((((Vef + EDonor) + (mu - Ec)) / KbT)), 3.0), 0.3333333333333333))) + (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(Float64(Vef + EDonor) + Float64(mu - Ec)) / KbT)) ^ 3.0) ^ 0.3333333333333333))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Vef + Float64(Ev + 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((((Vef + EDonor) + (mu - Ec)) / KbT)) ^ 3.0) ^ 0.3333333333333333))) + (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[Power[N[Power[N[Exp[N[(N[(N[(Vef + EDonor), $MachinePrecision] + N[(mu - Ec), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision], 3.0], $MachinePrecision], 0.3333333333333333], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(Vef + N[(Ev + EAccept), $MachinePrecision]), $MachinePrecision] - mu), $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 + {\left({\left(e^{\frac{\left(Vef + EDonor\right) + \left(mu - Ec\right)}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{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%

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

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

    neg-sub0 [<=]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

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

    unsub-neg [=>]100.0

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

    +-commutative [=>]100.0

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

    associate-+l+ [=>]100.0

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

  3. Applied egg-rr99.9%

    \[\leadsto \frac{NdChar}{1 + \color{blue}{{\left({\left(e^{\frac{\left(Vef + EDonor\right) + \left(mu - Ec\right)}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]
    Proof

    [Start]100.0

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

    add-cbrt-cube [=>]99.9

    \[ \frac{NdChar}{1 + \color{blue}{\sqrt[3]{\left(e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}} \cdot e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}}\right) \cdot e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}}}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]

    pow1/3 [=>]99.9

    \[ \frac{NdChar}{1 + \color{blue}{{\left(\left(e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}} \cdot e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}}\right) \cdot e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}}\right)}^{0.3333333333333333}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]

    pow3 [=>]99.9

    \[ \frac{NdChar}{1 + {\color{blue}{\left({\left(e^{\frac{mu - \left(Ec - \left(Vef + EDonor\right)\right)}{KbT}}\right)}^{3}\right)}}^{0.3333333333333333}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]

    associate--r- [=>]99.9

    \[ \frac{NdChar}{1 + {\left({\left(e^{\frac{\color{blue}{\left(mu - Ec\right) + \left(Vef + EDonor\right)}}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]

    +-commutative [=>]99.9

    \[ \frac{NdChar}{1 + {\left({\left(e^{\frac{\color{blue}{\left(Vef + EDonor\right) + \left(mu - Ec\right)}}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]

  4. Final simplification99.9%

    \[\leadsto \frac{NdChar}{1 + {\left({\left(e^{\frac{\left(Vef + EDonor\right) + \left(mu - Ec\right)}{KbT}}\right)}^{3}\right)}^{0.3333333333333333}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]

Alternatives

Alternative 1
Accuracy100.0%
Cost20928
\[\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{1 + {e}^{\left(\frac{\left(Vef + EDonor\right) + \left(mu - Ec\right)}{KbT}\right)}} \]
Alternative 2
Accuracy68.3%
Cost15464
\[\begin{array}{l} t_0 := 1 + \frac{Vef}{KbT}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_0\right)\right) - \frac{mu}{KbT}\right)}\\ t_5 := t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{EDonor}{\frac{KbT}{1 + \frac{Vef}{EDonor}}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{if}\;mu \leq -1.86 \cdot 10^{+56}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -1.5 \cdot 10^{-118}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq -3 \cdot 10^{-151}:\\ \;\;\;\;t_1 + \frac{NdChar}{t_0}\\ \mathbf{elif}\;mu \leq -1.4 \cdot 10^{-166}:\\ \;\;\;\;t_3 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \mathbf{elif}\;mu \leq -6.6 \cdot 10^{-225}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 5.4 \cdot 10^{-306}:\\ \;\;\;\;t_3 + \frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + \left(\frac{Ev}{KbT} + 2\right)}\\ \mathbf{elif}\;mu \leq 7.8 \cdot 10^{-134}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{-80}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 2.6 \cdot 10^{-19}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{\left(Vef + EDonor\right) \cdot KbT}{KbT \cdot KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 1.15 \cdot 10^{+91}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Accuracy52.4%
Cost15144
\[\begin{array}{l} t_0 := 1 + \frac{Vef}{KbT}\\ t_1 := 1 + \frac{EAccept}{KbT}\\ t_2 := 1 + \frac{Vef}{EDonor}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_6 := t_5 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{EDonor}{\frac{KbT}{t_2}}\right)\right) - \frac{Ec}{KbT}\right)}\\ t_7 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_8 := t_7 + \frac{NaChar}{1 + t_1}\\ t_9 := t_5 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{if}\;EAccept \leq -310000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq -1.25 \cdot 10^{-102}:\\ \;\;\;\;t_5 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;EAccept \leq -4.5 \cdot 10^{-151}:\\ \;\;\;\;t_7 + \frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + \left(\frac{Ev}{KbT} + 2\right)}\\ \mathbf{elif}\;EAccept \leq -1.35 \cdot 10^{-229}:\\ \;\;\;\;t_5 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot t_2\right) - Ec}{KbT}}\\ \mathbf{elif}\;EAccept \leq -3.85 \cdot 10^{-264}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 9.2 \cdot 10^{-266}:\\ \;\;\;\;t_7 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_0\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 1.35 \cdot 10^{-182}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 2.85 \cdot 10^{-62}:\\ \;\;\;\;t_7 + \frac{NaChar}{1 + \left(t_1 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 3.7 \cdot 10^{-28}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 9.5 \cdot 10^{-12}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.6 \cdot 10^{+81}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;EAccept \leq 1.5 \cdot 10^{+119}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EAccept \leq 9.6 \cdot 10^{+166}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;EAccept \leq 2.6 \cdot 10^{+275}:\\ \;\;\;\;t_5 + \frac{NdChar}{t_0}\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]
Alternative 4
Accuracy73.0%
Cost14936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EAccept \leq -3.4 \cdot 10^{-190}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -1.15 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 7 \cdot 10^{-264}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.15 \cdot 10^{-104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 5.8 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.85 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 5
Accuracy65.6%
Cost14809
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ \mathbf{if}\;Vef \leq -6 \cdot 10^{+54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{-306}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 9.8 \cdot 10^{-255}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{-37}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{+98} \lor \neg \left(Vef \leq 3.3 \cdot 10^{+131}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \end{array} \]
Alternative 6
Accuracy75.0%
Cost14808
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.1 \cdot 10^{+170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -7.5 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 8 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.3 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 2.5 \cdot 10^{+89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 3.3 \cdot 10^{+131}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 7
Accuracy55.5%
Cost14684
\[\begin{array}{l} t_0 := 1 + \frac{Vef}{KbT}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.85 \cdot 10^{-57}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.4 \cdot 10^{-302}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_0\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 4.8 \cdot 10^{-254}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.7 \cdot 10^{-191}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.25 \cdot 10^{-132}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 8.6 \cdot 10^{-84}:\\ \;\;\;\;t_3 + \frac{NdChar}{t_0}\\ \mathbf{elif}\;Vef \leq 9.2 \cdot 10^{+21}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.06 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 4.5 \cdot 10^{+130} \lor \neg \left(Vef \leq 2.9 \cdot 10^{+160}\right) \land Vef \leq 2.5 \cdot 10^{+230}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 8
Accuracy55.0%
Cost14552
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.2 \cdot 10^{-53}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.85 \cdot 10^{-304}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{-254}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.35 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{-45}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 9.5 \cdot 10^{-8}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 2.95 \cdot 10^{+19}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{\left(Vef + EDonor\right) \cdot KbT}{KbT \cdot KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 7.2 \cdot 10^{+84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 4.6 \cdot 10^{+128} \lor \neg \left(Vef \leq 5.5 \cdot 10^{+160}\right) \land Vef \leq 1.55 \cdot 10^{+234}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 9
Accuracy100.0%
Cost14528
\[\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} \]
Alternative 10
Accuracy75.2%
Cost14412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ \mathbf{if}\;Vef \leq -8 \cdot 10^{+169}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.2 \cdot 10^{+89}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 5.2 \cdot 10^{+131}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 11
Accuracy55.6%
Cost9948
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.3 \cdot 10^{-56}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 4.25 \cdot 10^{-305}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 3.8 \cdot 10^{-254}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.56 \cdot 10^{-192}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 2.95 \cdot 10^{-136}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 2.5 \cdot 10^{-18}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.05 \cdot 10^{+25}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + EDonor \cdot \frac{KbT}{Vef}}{KbT \cdot \frac{KbT}{Vef}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 5.5 \cdot 10^{+84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 4.6 \cdot 10^{+130} \lor \neg \left(Vef \leq 4 \cdot 10^{+159}\right) \land Vef \leq 6.5 \cdot 10^{+230}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 12
Accuracy55.5%
Cost9692
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -7 \cdot 10^{-55}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 8.2 \cdot 10^{-304}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 2.95 \cdot 10^{-254}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.02 \cdot 10^{-196}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.5 \cdot 10^{-138}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 2.4 \cdot 10^{-18}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.08 \cdot 10^{+24}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{\left(Vef + EDonor\right) \cdot KbT}{KbT \cdot KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 3.3 \cdot 10^{+84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 4.2 \cdot 10^{+128} \lor \neg \left(Vef \leq 1.8 \cdot 10^{+160}\right) \land Vef \leq 3.4 \cdot 10^{+230}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 13
Accuracy53.8%
Cost9457
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{EAccept}{KbT}\right)}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_5 := t_3 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{if}\;Vef \leq -4.2 \cdot 10^{-60}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Vef \leq -1.45 \cdot 10^{-96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -9.2 \cdot 10^{-145}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Vef \leq -3.05 \cdot 10^{-260}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -9.4 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 8.5 \cdot 10^{-255}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 3.8 \cdot 10^{-192}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 3.2 \cdot 10^{-126}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 3.4 \cdot 10^{+84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{+129} \lor \neg \left(Vef \leq 9 \cdot 10^{+160}\right) \land Vef \leq 2.75 \cdot 10^{+231}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 14
Accuracy55.9%
Cost9432
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -2.4 \cdot 10^{-53}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.6 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 4.8 \cdot 10^{-254}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.06 \cdot 10^{-194}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq 3.8 \cdot 10^{-137}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.55 \cdot 10^{+84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.8 \cdot 10^{+233}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 15
Accuracy55.7%
Cost9432
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -5.8 \cdot 10^{-56}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.45 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7.2 \cdot 10^{-255}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.4 \cdot 10^{-197}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{-134}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 3.2 \cdot 10^{+84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.15 \cdot 10^{+131} \lor \neg \left(Vef \leq 7.5 \cdot 10^{+160}\right) \land Vef \leq 1.15 \cdot 10^{+232}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 16
Accuracy52.6%
Cost9193
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := \frac{Ev}{KbT} + 2\\ t_2 := \frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + t_1} + \frac{NdChar}{1 + e^{\frac{\left(EDonor + mu\right) - Ec}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{if}\;Vef \leq -1.6 \cdot 10^{-60}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{-305}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.52 \cdot 10^{-254}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.9 \cdot 10^{-193}:\\ \;\;\;\;t_0 + \frac{NaChar}{t_1}\\ \mathbf{elif}\;Vef \leq 2.2 \cdot 10^{-84}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 1.2 \cdot 10^{-18}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 2.7 \cdot 10^{+84}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{EAccept}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 1.12 \cdot 10^{+129} \lor \neg \left(Vef \leq 4.5 \cdot 10^{+160}\right) \land Vef \leq 1.9 \cdot 10^{+231}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 17
Accuracy53.1%
Cost9061
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := \frac{Ev}{KbT} + 2\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.8 \cdot 10^{-62}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq 6.2 \cdot 10^{-301}:\\ \;\;\;\;\frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + t_1} + \frac{NdChar}{1 + e^{\frac{\left(EDonor + mu\right) - Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 7.8 \cdot 10^{-255}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 4.6 \cdot 10^{-194}:\\ \;\;\;\;t_0 + \frac{NaChar}{t_1}\\ \mathbf{elif}\;Vef \leq 3.9 \cdot 10^{-133}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 3.35 \cdot 10^{+84}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{EAccept}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{+129} \lor \neg \left(Vef \leq 1.1 \cdot 10^{+160}\right) \land Vef \leq 1.75 \cdot 10^{+231}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 18
Accuracy53.2%
Cost9061
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := \frac{Ev}{KbT} + 2\\ \mathbf{if}\;Vef \leq -3.5 \cdot 10^{-60}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq 9.8 \cdot 10^{-307}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + t_2}\\ \mathbf{elif}\;Vef \leq 9.8 \cdot 10^{-255}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 5.4 \cdot 10^{-195}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_2}\\ \mathbf{elif}\;Vef \leq 5.2 \cdot 10^{-138}:\\ \;\;\;\;t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.55 \cdot 10^{+84}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \frac{EAccept}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 2.45 \cdot 10^{+129} \lor \neg \left(Vef \leq 2.8 \cdot 10^{+160}\right) \land Vef \leq 1.15 \cdot 10^{+232}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 19
Accuracy54.4%
Cost9061
\[\begin{array}{l} t_0 := \frac{Ev}{KbT} + 2\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.1 \cdot 10^{-33}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{\left(mu + EDonor \cdot \left(1 + \frac{Vef}{EDonor}\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 9.2 \cdot 10^{-302}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + t_0}\\ \mathbf{elif}\;Vef \leq 5 \cdot 10^{-254}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;Vef \leq 7.2 \cdot 10^{-192}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_0}\\ \mathbf{elif}\;Vef \leq 5.6 \cdot 10^{-138}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 5 \cdot 10^{+84}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \frac{EAccept}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 9.5 \cdot 10^{+128} \lor \neg \left(Vef \leq 4.8 \cdot 10^{+159}\right) \land Vef \leq 1.95 \cdot 10^{+231}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \end{array} \]
Alternative 20
Accuracy48.1%
Cost8804
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := t_0 + NdChar \cdot \frac{KbT}{mu}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -2.15 \cdot 10^{+189}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -3400000000000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -3.6 \cdot 10^{-30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.65 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 3.3 \cdot 10^{-290}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{Vef} + \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + mu\right)}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 4 \cdot 10^{+134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 7.5 \cdot 10^{+220}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \mathbf{elif}\;NaChar \leq 1.25 \cdot 10^{+238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 4.5 \cdot 10^{+277}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Accuracy60.0%
Cost8536
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -2.6 \cdot 10^{+221}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -2.5 \cdot 10^{+91}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;NdChar \leq -1.75 \cdot 10^{+46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -3.6 \cdot 10^{+23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -6.5 \cdot 10^{-77}:\\ \;\;\;\;t_2 + \left(\left(1 + KbT \cdot \frac{NaChar}{Vef}\right) + -1\right)\\ \mathbf{elif}\;NdChar \leq 1.1 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 22
Accuracy61.4%
Cost8536
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_3 := 1 + \frac{Vef}{KbT}\\ \mathbf{if}\;NdChar \leq -2.6 \cdot 10^{+221}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -8 \cdot 10^{+91}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;NdChar \leq -6.3 \cdot 10^{+44}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3.1 \cdot 10^{+25}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;NdChar \leq -1.7 \cdot 10^{-75}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + t_3}\\ \mathbf{elif}\;NdChar \leq 1.8 \cdot 10^{-73}:\\ \;\;\;\;t_0 + \frac{NdChar}{t_3}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 23
Accuracy39.4%
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -4.8 \cdot 10^{+101}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.18 \cdot 10^{-247}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq 1.06 \cdot 10^{-215}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_1\\ \mathbf{elif}\;EDonor \leq 2.8 \cdot 10^{-192}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;EDonor \leq 1.55 \cdot 10^{-148}:\\ \;\;\;\;\frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + \left(\frac{Ev}{KbT} + 2\right)} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{-98}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 5.9 \cdot 10^{+113}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 24
Accuracy47.7%
Cost8408
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + NdChar \cdot \frac{KbT}{mu}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -7.2 \cdot 10^{+187}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -42000000000000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -3.6 \cdot 10^{-30}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -2 \cdot 10^{-211}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 3.2 \cdot 10^{-291}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{Vef} + \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + mu\right)}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.85 \cdot 10^{+250}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 25
Accuracy48.5%
Cost8408
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := t_0 + NdChar \cdot \frac{KbT}{mu}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -9.5 \cdot 10^{+182}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -3800000000000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -3 \cdot 10^{-30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 3.4 \cdot 10^{-291}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{Vef} + \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + mu\right)}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.9 \cdot 10^{+133}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \end{array} \]
Alternative 26
Accuracy62.1%
Cost8274
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.5 \cdot 10^{+129} \lor \neg \left(NdChar \leq -3.2 \cdot 10^{+92} \lor \neg \left(NdChar \leq -3.1 \cdot 10^{-46}\right) \land NdChar \leq 8.5 \cdot 10^{-137}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \end{array} \]
Alternative 27
Accuracy64.0%
Cost8273
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -2.3 \cdot 10^{+128}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -2 \cdot 10^{+92}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;NdChar \leq -3.8 \cdot 10^{-52} \lor \neg \left(NdChar \leq 3.4 \cdot 10^{-75}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 28
Accuracy64.3%
Cost8273
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -3.4 \cdot 10^{+125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -7.5 \cdot 10^{+93}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq -6.2 \cdot 10^{-53} \lor \neg \left(NdChar \leq 2.5 \cdot 10^{-71}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 29
Accuracy61.7%
Cost8273
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -2.6 \cdot 10^{+221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.85 \cdot 10^{+90}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;NdChar \leq -2.4 \cdot 10^{-48} \lor \neg \left(NdChar \leq 3.7 \cdot 10^{-73}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 30
Accuracy56.2%
Cost8272
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;NaChar \leq -2.55 \cdot 10^{+26}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq -1.02 \cdot 10^{-212}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 6.8 \cdot 10^{-279}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{Vef}\\ \mathbf{elif}\;NaChar \leq 3.3 \cdot 10^{+250}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{KbT}{\frac{mu}{NdChar}}\\ \end{array} \]
Alternative 31
Accuracy38.8%
Cost8148
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -8 \cdot 10^{+99}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 3.5 \cdot 10^{-304}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq 7.5 \cdot 10^{-237}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{-98}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 4.25 \cdot 10^{+114}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 32
Accuracy46.0%
Cost8016
\[\begin{array}{l} t_0 := \frac{KbT \cdot NaChar}{Vef} + \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + mu\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.8 \cdot 10^{+239}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;Vef \leq -5.1 \cdot 10^{+74}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{+210}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 6.5 \cdot 10^{+230}:\\ \;\;\;\;t_1 + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 33
Accuracy56.3%
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := t_0 + NaChar \cdot 0.5\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -7.5 \cdot 10^{-27}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -7.4 \cdot 10^{-203}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 8.2 \cdot 10^{-289}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{elif}\;NaChar \leq 1.06 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 34
Accuracy34.9%
Cost7760
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -2.85 \cdot 10^{-24}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-102}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{Vef} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq -7.5 \cdot 10^{-296}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{+15}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 35
Accuracy33.2%
Cost7760
\[\begin{array}{l} t_0 := \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{if}\;EDonor \leq 3.5 \cdot 10^{-304}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq 1.05 \cdot 10^{-231}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{-98}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 1.6 \cdot 10^{+121}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \end{array} \]
Alternative 36
Accuracy48.8%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.1 \cdot 10^{-72} \lor \neg \left(NdChar \leq 5.5 \cdot 10^{-142}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 37
Accuracy56.6%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3 \cdot 10^{-47} \lor \neg \left(NdChar \leq 9 \cdot 10^{-51}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 38
Accuracy34.6%
Cost7501
\[\begin{array}{l} \mathbf{if}\;Vef \leq -6.2 \cdot 10^{+54}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{elif}\;Vef \leq 1.85 \cdot 10^{-283} \lor \neg \left(Vef \leq 5 \cdot 10^{-76}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 39
Accuracy36.5%
Cost7497
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.45 \cdot 10^{-136} \lor \neg \left(KbT \leq 4.6 \cdot 10^{-272}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{KbT}{\frac{mu}{NdChar}}\\ \end{array} \]
Alternative 40
Accuracy34.3%
Cost7369
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -67000000000 \lor \neg \left(NaChar \leq -3.15 \cdot 10^{-232}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + \left(\frac{Ev}{KbT} + 2\right)} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \end{array} \]
Alternative 41
Accuracy35.0%
Cost7364
\[\begin{array}{l} \mathbf{if}\;Vef \leq -6.5 \cdot 10^{+71}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{KbT}{\frac{mu}{NdChar}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 42
Accuracy26.0%
Cost2628
\[\begin{array}{l} \mathbf{if}\;mu \leq 40000000000:\\ \;\;\;\;\frac{NaChar}{0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT} + \left(\frac{Ev}{KbT} + 2\right)} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 43
Accuracy27.9%
Cost1984
\[\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)} \]
Alternative 44
Accuracy19.8%
Cost840
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.95 \cdot 10^{-177}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 4.2 \cdot 10^{-234}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{Vef} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 45
Accuracy28.0%
Cost448
\[\frac{NdChar}{2} + NaChar \cdot 0.5 \]
Alternative 46
Accuracy18.8%
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023136 
(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))))))