?

Average Error: 0.0 → 0.0
Time: 55.4s
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 0.0

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

  2. Simplified0.0

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

    [Start]0.0

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

    neg-sub0 [=>]0.0

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

    associate--r- [=>]0.0

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

    +-commutative [=>]0.0

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

    sub0-neg [=>]0.0

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

    sub-neg [<=]0.0

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

    associate-+l+ [=>]0.0

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

    +-commutative [=>]0.0

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

    unsub-neg [=>]0.0

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

  3. Final simplification0.0

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

Alternatives

Alternative 1
Error15.4
Cost15332
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + t_1\\ \mathbf{if}\;Vef \leq -8.5 \cdot 10^{+150}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -9 \cdot 10^{+49}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -6 \cdot 10^{+45}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq -5.8 \cdot 10^{-27}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -5 \cdot 10^{-251}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.6 \cdot 10^{-280}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.2 \cdot 10^{-78}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{+56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{+133}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 2
Error21.4
Cost15072
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_2\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -2.7 \cdot 10^{+23}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -1.25 \cdot 10^{-245}:\\ \;\;\;\;NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq -3.1 \cdot 10^{-292}:\\ \;\;\;\;t_0 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{elif}\;Vef \leq 4.5 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2 \cdot 10^{-9}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4.05 \cdot 10^{+30}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;Vef \leq 2 \cdot 10^{+66}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \frac{mu \cdot \frac{mu}{KbT}}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;Vef \leq 8.8 \cdot 10^{+133}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Error28.6
Cost14949
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;EAccept \leq 3.5 \cdot 10^{-155}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 4 \cdot 10^{-106}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 9.2 \cdot 10^{-89}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{1 + \left(\left(1 + \frac{Ev}{KbT}\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 7.2 \cdot 10^{+49}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \frac{mu \cdot \frac{mu}{KbT}}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 2.6 \cdot 10^{+64}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.95 \cdot 10^{+87}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq 2.1 \cdot 10^{+152}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{elif}\;EAccept \leq 5.8 \cdot 10^{+163} \lor \neg \left(EAccept \leq 5.6 \cdot 10^{+234}\right):\\ \;\;\;\;t_2 + t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{2 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 4
Error18.9
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.05 \cdot 10^{+118}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1.2 \cdot 10^{-90}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -5.8 \cdot 10^{-189}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -8 \cdot 10^{-223}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 6.5 \cdot 10^{-267}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 5
Error25.1
Cost14748
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -4.8 \cdot 10^{+143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4.8 \cdot 10^{-102}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq -1.2 \cdot 10^{-260}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{-139}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{1 + \left(\left(1 + \frac{Ev}{KbT}\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;mu \leq 1.85 \cdot 10^{-54}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(1 - \frac{mu}{KbT}\right) + \frac{mu \cdot \left(mu \cdot 0.5\right)}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;mu \leq 260:\\ \;\;\;\;NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq 1.25 \cdot 10^{+166}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Error25.0
Cost14748
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;mu \leq -6.5 \cdot 10^{+143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -3.3 \cdot 10^{-105}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -3 \cdot 10^{-260}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_3\\ \mathbf{elif}\;mu \leq 8.2 \cdot 10^{-231}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{1 + \left(\left(1 + \frac{Ev}{KbT}\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;mu \leq 2.05 \cdot 10^{-57}:\\ \;\;\;\;t_4 + t_0\\ \mathbf{elif}\;mu \leq 1.32:\\ \;\;\;\;t_4 + t_3\\ \mathbf{elif}\;mu \leq 4.8 \cdot 10^{+164}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 7
Error17.2
Cost14737
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -7.2 \cdot 10^{+105}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{-84} \lor \neg \left(Ev \leq -6.2 \cdot 10^{-180}\right) \land Ev \leq 1.08 \cdot 10^{-222}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 8
Error17.2
Cost14737
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -9.2 \cdot 10^{+105}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -7.6 \cdot 10^{-86} \lor \neg \left(Ev \leq -4.4 \cdot 10^{-177}\right) \land Ev \leq 5.5 \cdot 10^{-217}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 9
Error15.7
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -5.5 \cdot 10^{+148}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -4.5 \cdot 10^{-251}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.8 \cdot 10^{-280}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{+133}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Error28.6
Cost14552
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -8.8 \cdot 10^{+139}:\\ \;\;\;\;t_2 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{-146}:\\ \;\;\;\;t_2 + NaChar \cdot \frac{1}{1 + \left(\left(1 + \frac{Ev}{KbT}\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;KbT \leq -7.4 \cdot 10^{-209}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;KbT \leq -8.2 \cdot 10^{-300}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq 4.9 \cdot 10^{-244}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_1\\ \mathbf{elif}\;KbT \leq 10^{-183}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 2.05 \cdot 10^{-113}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT}}\\ \mathbf{elif}\;KbT \leq 5.2 \cdot 10^{-112}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \frac{mu \cdot \frac{mu}{KbT}}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \end{array} \]
Alternative 11
Error25.1
Cost14484
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -4.3 \cdot 10^{+143}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -2.2 \cdot 10^{-107}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq -1.35 \cdot 10^{-260}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.55 \cdot 10^{-52}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{1 + \left(\left(1 + \frac{Ev}{KbT}\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;mu \leq 5.1 \cdot 10^{+167}:\\ \;\;\;\;t_0 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Error28.6
Cost14420
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq 3.1 \cdot 10^{-155}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 6.2 \cdot 10^{+49}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \frac{mu \cdot \frac{mu}{KbT}}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 9 \cdot 10^{+63}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 5.5 \cdot 10^{+134}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{2 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;EAccept \leq 2 \cdot 10^{+192}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 13
Error28.7
Cost14420
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{if}\;KbT \leq -3.7 \cdot 10^{+139}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{-146}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{1 + \left(\left(1 + \frac{Ev}{KbT}\right) + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-208}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;KbT \leq -3.65 \cdot 10^{-298}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-261}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Error29.9
Cost8924
\[\begin{array}{l} t_0 := \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ t_3 := t_1 + NaChar \cdot \frac{1}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{if}\;mu \leq -4.8 \cdot 10^{+299}:\\ \;\;\;\;t_1 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq -2.3 \cdot 10^{+232}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -3.7 \cdot 10^{-35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -1.8 \cdot 10^{-101}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -1.45 \cdot 10^{-197}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -8.6 \cdot 10^{-288}:\\ \;\;\;\;t_1 + NaChar \cdot \frac{1}{2 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;mu \leq 8 \cdot 10^{+23}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 15
Error30.3
Cost8788
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.8 \cdot 10^{+104}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{2 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq -7.4 \cdot 10^{-96}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \left(\frac{mu}{KbT} \cdot \frac{mu}{KbT}\right) - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;Vef \leq -1.8 \cdot 10^{-217}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{-55}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 42000000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 3\right) + -1}\\ \end{array} \]
Alternative 16
Error28.6
Cost8788
\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq 2.8 \cdot 10^{-155}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 8.2 \cdot 10^{+56}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \left(\frac{mu}{KbT} \cdot \frac{mu}{KbT}\right) - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 7 \cdot 10^{+152}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + t_0}\\ \mathbf{elif}\;EAccept \leq 3.2 \cdot 10^{+177}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 8.2 \cdot 10^{+191}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_0}\\ \end{array} \]
Alternative 17
Error28.5
Cost8788
\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq 1.45 \cdot 10^{-155}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 4.3 \cdot 10^{+56}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \frac{mu \cdot \frac{mu}{KbT}}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;EAccept \leq 6.2 \cdot 10^{+152}:\\ \;\;\;\;t_1 + \frac{NaChar}{0.5 \cdot \left(EAccept \cdot \frac{\frac{EAccept}{KbT}}{KbT}\right) + t_0}\\ \mathbf{elif}\;EAccept \leq 3.3 \cdot 10^{+177}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 3.9 \cdot 10^{+192}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{t_0}\\ \end{array} \]
Alternative 18
Error29.0
Cost8520
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;mu \leq -3.8 \cdot 10^{+298}:\\ \;\;\;\;t_0 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq -2.3 \cdot 10^{+232}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + \left(2 + \left(\frac{EAccept}{KbT} + \frac{Vef}{KbT}\right)\right)}\\ \end{array} \]
Alternative 19
Error31.1
Cost8404
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -7.5 \cdot 10^{-68}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-180}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{Ev}\\ \mathbf{elif}\;KbT \leq -3 \cdot 10^{-199}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{-278}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-216}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 20
Error29.8
Cost8400
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.8 \cdot 10^{+104}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{2 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;Vef \leq -6 \cdot 10^{-96}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + \left(1 + \left(0.5 \cdot \left(\frac{mu}{KbT} \cdot \frac{mu}{KbT}\right) - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;Vef \leq 1.6 \cdot 10^{-129}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 280000:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 3\right) + -1}\\ \end{array} \]
Alternative 21
Error31.9
Cost8276
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ t_2 := t_0 + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.9 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5.3 \cdot 10^{-198}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{-257}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{+16}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 22
Error31.4
Cost8276
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ t_2 := t_0 + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.3 \cdot 10^{-63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2.45 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5.2 \cdot 10^{-198}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 8.5 \cdot 10^{-276}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-68}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 23
Error31.4
Cost8276
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.85 \cdot 10^{-67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.15 \cdot 10^{-180}:\\ \;\;\;\;t_0 + \frac{KbT \cdot NaChar}{Ev}\\ \mathbf{elif}\;KbT \leq -4.5 \cdot 10^{-198}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{-278}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.8 \cdot 10^{-68}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 24
Error29.8
Cost8264
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -9.5 \cdot 10^{-218}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 7 \cdot 10^{-48}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 3\right) + -1}\\ \end{array} \]
Alternative 25
Error35.8
Cost8148
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -2.6 \cdot 10^{-149}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 7.4 \cdot 10^{-131}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 1.8 \cdot 10^{-37}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 2.6 \cdot 10^{+45}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 1.02 \cdot 10^{+182}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 26
Error33.2
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -2.4 \cdot 10^{-147}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 2.35 \cdot 10^{-131}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NdChar \leq 1.35 \cdot 10^{-37}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 6.8 \cdot 10^{+73}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 27
Error29.2
Cost8004
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq 8 \cdot 10^{+98}:\\ \;\;\;\;t_0 + NaChar \cdot \frac{1}{2 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 28
Error29.2
Cost8004
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq 6.2 \cdot 10^{+97}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 3\right) + -1}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 29
Error40.3
Cost7896
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{2} + \frac{NdChar}{t_0}\\ \mathbf{if}\;Vef \leq -1.9 \cdot 10^{+155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{-97}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq -6.8 \cdot 10^{-289}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 2 \cdot 10^{+30}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 6.5 \cdot 10^{+151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 4.7 \cdot 10^{+251}:\\ \;\;\;\;\frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 30
Error39.2
Cost7888
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;mu \leq -8 \cdot 10^{+146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{-218}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;mu \leq 5.9 \cdot 10^{-130}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{+180}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 1.25 \cdot 10^{+302}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 31
Error32.1
Cost7881
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.65 \cdot 10^{-81} \lor \neg \left(KbT \leq 1.7 \cdot 10^{-68}\right):\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NaChar}}\\ \end{array} \]
Alternative 32
Error34.8
Cost7624
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.55 \cdot 10^{+200}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.52 \cdot 10^{+26}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 33
Error39.7
Cost7500
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{2} + \frac{NdChar}{t_0}\\ \mathbf{if}\;Vef \leq -6.4 \cdot 10^{+155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7 \cdot 10^{+29}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 9.2 \cdot 10^{+254}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{t_0} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 34
Error39.1
Cost7432
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -1.12 \cdot 10^{-52}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 7.4 \cdot 10^{+25}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 35
Error41.5
Cost7369
\[\begin{array}{l} \mathbf{if}\;Vef \leq 3.5 \cdot 10^{+151} \lor \neg \left(Vef \leq 2.6 \cdot 10^{+247}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 36
Error41.1
Cost7368
\[\begin{array}{l} \mathbf{if}\;Vef \leq 5.2 \cdot 10^{+150}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Vef \leq 1.05 \cdot 10^{+252}:\\ \;\;\;\;\frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 37
Error38.8
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -7.2 \cdot 10^{-74}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 4.5 \cdot 10^{-8}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 38
Error39.2
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -7.5 \cdot 10^{-55}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.75 \cdot 10^{+55}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 39
Error46.1
Cost2121
\[\begin{array}{l} \mathbf{if}\;KbT \leq 3.6 \cdot 10^{-301} \lor \neg \left(KbT \leq 2.9 \cdot 10^{-65}\right):\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{\left(\frac{mu}{KbT} + \left(2 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 40
Error46.2
Cost448
\[\frac{NdChar}{2} + \frac{NaChar}{2} \]

Error

Reproduce?

herbie shell --seed 2023083 
(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))))))