?

Average Error: 0.0 → 0.0
Time: 1.4min
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?

Try it out?

Your Program's Arguments

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
Error16.2
Cost15464
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -3.6 \cdot 10^{+161}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.5 \cdot 10^{-22}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -9.2 \cdot 10^{-283}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 5 \cdot 10^{-285}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.35 \cdot 10^{-246}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 - \frac{\frac{KbT \cdot \left(Vef + EDonor\right)}{KbT}}{KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 1.8 \cdot 10^{-206}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.1 \cdot 10^{-125}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 4.7 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.8 \cdot 10^{+68}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.7 \cdot 10^{+94}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 2
Error15.6
Cost15332
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + t_0\\ t_3 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;mu \leq -8.8 \cdot 10^{+76}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.1 \cdot 10^{+30}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq -38:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{1}{\frac{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}{NdChar}}\\ \mathbf{elif}\;mu \leq -5.8 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -9.5 \cdot 10^{-202}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{elif}\;mu \leq -3.6 \cdot 10^{-205}:\\ \;\;\;\;t_1 + \frac{NdChar}{\frac{Ec}{KbT}}\\ \mathbf{elif}\;mu \leq 3.3 \cdot 10^{-40}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 7.2 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 5.2 \cdot 10^{+144}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 3
Error14.8
Cost15332
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_5 := t_4 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -4.4 \cdot 10^{+161}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -1.5 \cdot 10^{-22}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -8.6 \cdot 10^{-285}:\\ \;\;\;\;t_4 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 4 \cdot 10^{-261}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 1.65 \cdot 10^{-230}:\\ \;\;\;\;t_4 + t_0\\ \mathbf{elif}\;mu \leq 8.2 \cdot 10^{-166}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 3.1 \cdot 10^{+33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 2 \cdot 10^{+70}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.1 \cdot 10^{+126}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 4
Error22.3
Cost15072
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -3 \cdot 10^{+122}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -5000000000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -7.5 \cdot 10^{-199}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq -4 \cdot 10^{-235}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.85 \cdot 10^{-308}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_1\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{-216}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.35 \cdot 10^{-169}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.85 \cdot 10^{-42}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 5
Error15.1
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{1}{\frac{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}{NdChar}}\\ \mathbf{if}\;Vef \leq -4.1 \cdot 10^{+113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -5200000000000:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq -1.92 \cdot 10^{-56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.7 \cdot 10^{-225}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 4.5 \cdot 10^{-207}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 5.8 \cdot 10^{-46}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 6
Error16.5
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{1}{\frac{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}{NdChar}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -3 \cdot 10^{+122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.5 \cdot 10^{-223}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.9 \cdot 10^{-205}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 7.6 \cdot 10^{-39}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Error16.2
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -2.4 \cdot 10^{+122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 3.7 \cdot 10^{-223}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{1}{\frac{1 + e^{\frac{\left(mu + EDonor\right) - Ec}{KbT}}}{NdChar}}\\ \mathbf{elif}\;Vef \leq 1.2 \cdot 10^{-209}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.8 \cdot 10^{+25}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 8
Error28.0
Cost14552
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_4 := \frac{mu}{KbT} + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_6 := t_5 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -1.75 \cdot 10^{+183}:\\ \;\;\;\;t_5 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-149}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -6.2 \cdot 10^{-277}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-296}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{-271}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_2\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-234}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{t_3}\\ \mathbf{elif}\;KbT \leq 1.4 \cdot 10^{-98}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 6.7 \cdot 10^{-69}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_3}{KbT}}\\ \mathbf{elif}\;KbT \leq 0.085:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{+83}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\frac{t_4 \cdot t_4 + -1}{t_4 + -1} - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 3.2 \cdot 10^{+113}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 9
Error28.0
Cost14552
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_2 := \frac{mu}{KbT} + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -1.85 \cdot 10^{+184}:\\ \;\;\;\;t_3 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -8.2 \cdot 10^{+63}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -5.7 \cdot 10^{-108}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\frac{t_2 \cdot t_2 + -1}{t_2 + -1} - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -5.2 \cdot 10^{-181}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;KbT \leq -2.5 \cdot 10^{-278}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{-296}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-233}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{t_1}\\ \mathbf{elif}\;KbT \leq 3.8 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-65}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_1}{KbT}}\\ \mathbf{elif}\;KbT \leq 4.8 \cdot 10^{-47}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{+15}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{\frac{KbT}{EDonor} + \frac{KbT}{Vef}}{\frac{KbT}{EDonor} \cdot \frac{KbT}{Vef}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{+54}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 10
Error27.8
Cost14420
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ t_4 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_5 := \frac{mu}{KbT} + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\\ \mathbf{if}\;KbT \leq -3.25 \cdot 10^{+187}:\\ \;\;\;\;t_2 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -9 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.7 \cdot 10^{-149}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{-273}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq 7.6 \cdot 10^{-296}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-286}:\\ \;\;\;\;t_2 + \frac{NaChar}{0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT} + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{elif}\;KbT \leq 1.8 \cdot 10^{-233}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{t_4}\\ \mathbf{elif}\;KbT \leq 1.25 \cdot 10^{-98}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 1.35 \cdot 10^{-67}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_4}{KbT}}\\ \mathbf{elif}\;KbT \leq 3:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 3.5 \cdot 10^{+74}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\frac{t_5 \cdot t_5 + -1}{t_5 + -1} - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{+114}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 11
Error27.4
Cost14288
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_2 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_3 := \frac{mu}{KbT} + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -1.65 \cdot 10^{+183}:\\ \;\;\;\;t_4 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -7 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-149}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -9 \cdot 10^{-268}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-232}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{t_2}\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{-99}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 3.9 \cdot 10^{-69}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_2}{KbT}}\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{-7}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 7.8 \cdot 10^{+79}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\frac{t_3 \cdot t_3 + -1}{t_3 + -1} - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{+113}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 12
Error27.6
Cost11492
\[\begin{array}{l} t_0 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_1 := \frac{mu}{KbT} + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_5 := t_3 + \frac{NdChar}{1 + \left(\frac{t_1 \cdot t_1 + -1}{t_1 + -1} - \frac{Ec}{KbT}\right)}\\ t_6 := t_2 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -8.2 \cdot 10^{+185}:\\ \;\;\;\;t_2 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{+63}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-110}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 1.62 \cdot 10^{-271}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 3 \cdot 10^{-234}:\\ \;\;\;\;t_3 + \frac{NdChar \cdot KbT}{t_0}\\ \mathbf{elif}\;KbT \leq 9.6 \cdot 10^{-98}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 4.4 \cdot 10^{-65}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + \frac{t_0}{KbT}}\\ \mathbf{elif}\;KbT \leq 60:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 6.4 \cdot 10^{+83}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{+114}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 13
Error27.0
Cost10340
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_2 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -1.62 \cdot 10^{+183}:\\ \;\;\;\;t_3 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{+55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5.6 \cdot 10^{-168}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.25 \cdot 10^{-271}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 3.5 \cdot 10^{-233}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{t_2}\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{-99}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 4.1 \cdot 10^{-69}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_2}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.16 \cdot 10^{-46}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{+15}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{\frac{KbT}{EDonor} + \frac{KbT}{Vef}}{\frac{KbT}{EDonor} \cdot \frac{KbT}{Vef}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 4.9 \cdot 10^{+114}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 14
Error28.2
Cost9957
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 - \frac{\frac{KbT \cdot \left(Vef + EDonor\right)}{KbT}}{KbT}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{if}\;EAccept \leq -5.4 \cdot 10^{+141}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;EAccept \leq -250:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -1.2 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq -1.9 \cdot 10^{-269}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;EAccept \leq 2.4 \cdot 10^{-194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 6 \cdot 10^{+51}:\\ \;\;\;\;t_0 + \frac{NaChar}{0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT} + \left(\frac{EAccept}{KbT} + 2\right)}\\ \mathbf{elif}\;EAccept \leq 2.75 \cdot 10^{+125}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}\\ \mathbf{elif}\;EAccept \leq 1.6 \cdot 10^{+168} \lor \neg \left(EAccept \leq 4.7 \cdot 10^{+198}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 15
Error29.5
Cost9585
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := t_0 + \frac{NdChar \cdot KbT}{\left(Vef + \left(mu + EDonor\right)\right) - Ec}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_5 := t_3 + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.72 \cdot 10^{+183}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{+58}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.85 \cdot 10^{-25}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -7.8 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-266}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -8.6 \cdot 10^{-294}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \mathbf{elif}\;KbT \leq 4.9 \cdot 10^{-287}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 5.8 \cdot 10^{-272}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-232} \lor \neg \left(KbT \leq 1.45 \cdot 10^{-98}\right) \land KbT \leq 165000000000:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 16
Error29.0
Cost9581
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_3 := t_0 + \frac{NdChar \cdot KbT}{t_2}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;KbT \leq -2.6 \cdot 10^{+183}:\\ \;\;\;\;t_4 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -6.5 \cdot 10^{+58}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.86 \cdot 10^{-28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -6.4 \cdot 10^{-55}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{-181}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -4 \cdot 10^{-268}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -1.6 \cdot 10^{-289}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-290}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 10^{-233}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 4.7 \cdot 10^{-101} \lor \neg \left(KbT \leq 1200000000\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_2}{KbT}}\\ \end{array} \]
Alternative 17
Error34.5
Cost9464
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\frac{mu}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Ec \leq -3 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -4 \cdot 10^{-105}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -3.1 \cdot 10^{-128}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -5 \cdot 10^{-139}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;Ec \leq -3.2 \cdot 10^{-163}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Ec \leq -2.35 \cdot 10^{-177}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -6.4 \cdot 10^{-189}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -9 \cdot 10^{-236}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -2.15 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 1.7 \cdot 10^{-289}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{elif}\;Ec \leq 3.7 \cdot 10^{-184}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 1.65 \cdot 10^{+79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 3.4 \cdot 10^{+118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 5.2 \cdot 10^{+146}:\\ \;\;\;\;t_0 + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{Ec}{KbT}}\\ \end{array} \]
Alternative 18
Error29.9
Cost9196
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ t_2 := t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2}\\ t_5 := t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_6 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.06 \cdot 10^{+186}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -9.2 \cdot 10^{-167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -9.2 \cdot 10^{-268}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -1.1 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{-286}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 3.9 \cdot 10^{-271}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-232}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.45 \cdot 10^{-95}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 1.25 \cdot 10^{-63}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{-36}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;KbT \leq 6.2 \cdot 10^{+113}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 19
Error29.6
Cost9196
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_4 := t_2 + \frac{NaChar}{2}\\ t_5 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;KbT \leq -7.7 \cdot 10^{+183}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -5.5 \cdot 10^{-180}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.8 \cdot 10^{-265}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -9.2 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 6.6 \cdot 10^{-291}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 4.1 \cdot 10^{-272}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{-234}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{-94}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 2.05 \cdot 10^{-63}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{+115}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 20
Error27.4
Cost9181
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \left(Vef + \left(mu + EDonor\right)\right) - Ec\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -2.06 \cdot 10^{+186}:\\ \;\;\;\;t_2 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -1.75 \cdot 10^{+59}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -7.5 \cdot 10^{-168}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.7 \cdot 10^{-270}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{-233}:\\ \;\;\;\;t_0 + \frac{NdChar \cdot KbT}{t_1}\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{-98} \lor \neg \left(KbT \leq 3.2 \cdot 10^{-67}\right):\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{t_1}{KbT}}\\ \end{array} \]
Alternative 21
Error34.5
Cost8936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Ec \leq -2.3 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -6.8 \cdot 10^{-103}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;Ec \leq -4.4 \cdot 10^{-133}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -2.4 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -3.1 \cdot 10^{-266}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -2.8 \cdot 10^{-278}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 8 \cdot 10^{-289}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{elif}\;Ec \leq 7.8 \cdot 10^{-185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 4.6 \cdot 10^{+75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq 1.35 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{Ec}{KbT}}\\ \end{array} \]
Alternative 22
Error40.9
Cost8684
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.8 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -2.7 \cdot 10^{-141}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 2.15 \cdot 10^{-305}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{-162}:\\ \;\;\;\;NdChar \cdot 0.5 + t_0\\ \mathbf{elif}\;EAccept \leq 2.9 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.1 \cdot 10^{-21}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 6.4 \cdot 10^{+39}:\\ \;\;\;\;t_1 + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 2.05 \cdot 10^{+125}:\\ \;\;\;\;\frac{KbT}{\frac{Vef}{NdChar}} + t_0\\ \mathbf{elif}\;EAccept \leq 6.5 \cdot 10^{+160}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.05 \cdot 10^{+229}:\\ \;\;\;\;t_2 + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 1.7 \cdot 10^{+279}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2 - \frac{KbT}{\frac{Ec}{NdChar}}\\ \end{array} \]
Alternative 23
Error30.8
Cost8536
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT}}\\ \mathbf{if}\;mu \leq -2.22 \cdot 10^{+223}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -7.5 \cdot 10^{+168}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -4 \cdot 10^{+157}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.5 \cdot 10^{-197}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 1.8 \cdot 10^{-239}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 9 \cdot 10^{+176}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 24
Error34.0
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + \frac{KbT}{\frac{Vef}{NdChar}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.72 \cdot 10^{-28}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -3.6 \cdot 10^{-85}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{-286}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.2 \cdot 10^{-232}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 9.4 \cdot 10^{-95}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{-74}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 25
Error34.0
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{KbT}{\frac{EDonor}{NdChar}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -6 \cdot 10^{-25}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.12 \cdot 10^{-91}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;KbT \leq 7.4 \cdot 10^{-295}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.9 \cdot 10^{-233}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-99}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-63}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{+85}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 26
Error34.0
Cost8412
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -3.7 \cdot 10^{-28}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -4 \cdot 10^{-96}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{-293}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{-232}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EDonor}{NdChar}}\\ \mathbf{elif}\;KbT \leq 6.8 \cdot 10^{-95}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{-63}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{Vef}{NdChar}}\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 27
Error38.5
Cost8356
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -5.9 \cdot 10^{+215}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 1.35 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 6.5 \cdot 10^{-119}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 3.9 \cdot 10^{-13}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 350000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 7 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 5.4 \cdot 10^{+59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 6.8 \cdot 10^{+165}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 1.02 \cdot 10^{+268}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \end{array} \]
Alternative 28
Error38.5
Cost8356
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;NaChar \leq -1.3 \cdot 10^{+214}:\\ \;\;\;\;t_2 + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 1.65 \cdot 10^{-282}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 4.2 \cdot 10^{-122}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 4.1 \cdot 10^{-13}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 215000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 8.2 \cdot 10^{+50}:\\ \;\;\;\;t_2 + \frac{1}{\frac{2}{NdChar}}\\ \mathbf{elif}\;NaChar \leq 2.75 \cdot 10^{+61}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.15 \cdot 10^{+168}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 1.52 \cdot 10^{+268}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \end{array} \]
Alternative 29
Error40.3
Cost8352
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2.7 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -5.8 \cdot 10^{-132}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{-302}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.65 \cdot 10^{-162}:\\ \;\;\;\;NdChar \cdot 0.5 + t_0\\ \mathbf{elif}\;EAccept \leq 5.4 \cdot 10^{-73}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 8.8 \cdot 10^{-22}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 1.45 \cdot 10^{+40}:\\ \;\;\;\;t_1 + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 2.05 \cdot 10^{+125}:\\ \;\;\;\;\frac{KbT}{\frac{Vef}{NdChar}} + t_0\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{+162}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 30
Error38.5
Cost8292
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -8 \cdot 10^{+213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 1.65 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 3 \cdot 10^{-118}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.8 \cdot 10^{-13}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 140000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 4.5 \cdot 10^{+50}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 4.8 \cdot 10^{+60}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.55 \cdot 10^{+167}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 1.02 \cdot 10^{+268}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 31
Error35.2
Cost8284
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;NdChar \leq -5.9 \cdot 10^{+94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3 \cdot 10^{-36}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq -1.7 \cdot 10^{-114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.7 \cdot 10^{-300}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.85 \cdot 10^{-259}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 1.16 \cdot 10^{-244}:\\ \;\;\;\;t_1 - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;NdChar \leq 1.75 \cdot 10^{-8}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 32
Error30.9
Cost8280
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.9 \cdot 10^{+113}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -5700000000000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq -2.3 \cdot 10^{-14}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -3 \cdot 10^{-44}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 6.9 \cdot 10^{-74}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 4.2 \cdot 10^{+93}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 33
Error31.1
Cost8280
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -4.3 \cdot 10^{+113}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -11800000000000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq -4.2 \cdot 10^{-18}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;Vef \leq -1 \cdot 10^{-42}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 3.45 \cdot 10^{-70}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 5 \cdot 10^{+93}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 34
Error30.8
Cost8148
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.8 \cdot 10^{+113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -15500000000000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq -9 \cdot 10^{-36}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -3 \cdot 10^{-39}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} - \frac{KbT}{\frac{Ec}{NdChar}}\\ \mathbf{elif}\;Vef \leq 6.5 \cdot 10^{+84}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 35
Error33.4
Cost7888
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -4.6 \cdot 10^{+113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.3 \cdot 10^{-47}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{+126}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 5.8 \cdot 10^{+146}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 36
Error34.8
Cost7369
\[\begin{array}{l} \mathbf{if}\;Vef \leq -4.2 \cdot 10^{+113} \lor \neg \left(Vef \leq 2.2 \cdot 10^{+28}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 37
Error34.9
Cost7369
\[\begin{array}{l} \mathbf{if}\;Vef \leq -4.7 \cdot 10^{+113} \lor \neg \left(Vef \leq 1.8 \cdot 10^{+76}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 38
Error37.9
Cost7113
\[\begin{array}{l} \mathbf{if}\;Vef \leq -1.7 \cdot 10^{-115} \lor \neg \left(Vef \leq 4 \cdot 10^{-139}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 39
Error45.9
Cost1736
\[\begin{array}{l} \mathbf{if}\;KbT \leq 6 \cdot 10^{-296}:\\ \;\;\;\;\frac{NaChar}{2} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 45000000000000:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \end{array} \]
Alternative 40
Error45.8
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq 3.1 \cdot 10^{-296} \lor \neg \left(KbT \leq 46000000000000\right):\\ \;\;\;\;\frac{NaChar}{2} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \end{array} \]
Alternative 41
Error51.8
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -8.5 \cdot 10^{-287}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 75000000000000:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 42
Error51.6
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -7.5 \cdot 10^{-288}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 45000000000000:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 43
Error52.1
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023060 
(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))))))