?

Average Error: 0.0 → 0.0
Time: 49.2s
Precision: binary64
Cost: 14528

?

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

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

Alternatives

Alternative 1
Error21.4
Cost15992
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := Vef + \left(mu + EDonor\right)\\ t_2 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{t_1 - Ec}{KbT}}}\\ \mathbf{if}\;Ec \leq -1.55 \cdot 10^{+238}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_2\\ \mathbf{elif}\;Ec \leq -2.1 \cdot 10^{+125}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -9.6 \cdot 10^{+79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -1.35 \cdot 10^{+51}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -16500000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -2.15 \cdot 10^{-19}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;Ec \leq 3 \cdot 10^{-271}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq 6.8 \cdot 10^{-158}:\\ \;\;\;\;t_0 + NaChar\\ \mathbf{elif}\;Ec \leq 1.35 \cdot 10^{-124}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{t_1}{KbT}}}\\ \mathbf{elif}\;Ec \leq 3.8 \cdot 10^{-74}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;Ec \leq 5.4 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 7.4 \cdot 10^{+30}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq 1.55 \cdot 10^{+60}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq 1.15 \cdot 10^{+199}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + t_2\\ \end{array} \]
Alternative 2
Error23.7
Cost15468
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + Vef\right) - Ec}{KbT}}}\\ t_1 := Vef + \left(mu + EDonor\right)\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + NaChar\\ t_4 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{t_1}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{t_1 - Ec}{KbT}}}\\ \mathbf{if}\;EDonor \leq -3 \cdot 10^{+80}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -9 \cdot 10^{-10}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -6.5 \cdot 10^{-48}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;EDonor \leq -2.2 \cdot 10^{-200}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -4.5 \cdot 10^{-250}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 2 \cdot 10^{-281}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 1.25 \cdot 10^{-216}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 2.8 \cdot 10^{-172}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{-113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.3 \cdot 10^{-7}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 2.2 \cdot 10^{+180}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Error16.1
Cost15464
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_4 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -3.8 \cdot 10^{-9}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -9 \cdot 10^{-108}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -1.45 \cdot 10^{-176}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -6.8 \cdot 10^{-203}:\\ \;\;\;\;t_0 + NaChar\\ \mathbf{elif}\;EDonor \leq -4 \cdot 10^{-297}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 7 \cdot 10^{-180}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.55 \cdot 10^{-91}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 3.8 \cdot 10^{+23}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 2.2 \cdot 10^{+112}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 4.2 \cdot 10^{+180}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 4
Error23.8
Cost15408
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_4 := t_3 + NaChar\\ \mathbf{if}\;mu \leq -2.4 \cdot 10^{+64}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -5.7 \cdot 10^{-98}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -4.3 \cdot 10^{-128}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.48 \cdot 10^{-170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -4.3 \cdot 10^{-185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -3.6 \cdot 10^{-247}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 3.5 \cdot 10^{-251}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{-172}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq 1.3 \cdot 10^{-43}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.25 \cdot 10^{-15}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 31000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;mu \leq 4.7 \cdot 10^{+151}:\\ \;\;\;\;t_3 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 5
Error22.6
Cost15204
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + Vef\right) - Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -2.35 \cdot 10^{+55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.7 \cdot 10^{-98}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar\\ \mathbf{elif}\;mu \leq -1.32 \cdot 10^{-129}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -4.1 \cdot 10^{-167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -3.7 \cdot 10^{-183}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -1 \cdot 10^{-245}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 6.3 \cdot 10^{-152}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 29000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;mu \leq 3.1 \cdot 10^{+150}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 6
Error14.8
Cost15200
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;mu \leq -1.22 \cdot 10^{+64}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.65 \cdot 10^{-81}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{-108}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -3.4 \cdot 10^{-270}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -4.3 \cdot 10^{-303}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.7 \cdot 10^{-114}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 14600:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 8.2 \cdot 10^{+110}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Error15.8
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(mu + Vef\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -1.65 \cdot 10^{+74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.6 \cdot 10^{-301}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 1.2 \cdot 10^{-153}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 20000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3 \cdot 10^{+61}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 5 \cdot 10^{+110}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 8
Error15.5
Cost14672
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -4.6 \cdot 10^{-104}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 1.52 \cdot 10^{-114}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 22500:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq 6.6 \cdot 10^{+108}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 9
Error24.5
Cost14484
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -5.8 \cdot 10^{+175}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -3.6 \cdot 10^{-258}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-67}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.6 \cdot 10^{+207}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \end{array} \]
Alternative 10
Error24.5
Cost14420
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -1.25 \cdot 10^{+170}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -3.5 \cdot 10^{-252}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2 \cdot 10^{-67}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;KbT \leq 5.2 \cdot 10^{+199}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 11
Error27.3
Cost8684
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;mu \leq -3.6 \cdot 10^{-97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -6.5 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.5 \cdot 10^{-170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -7.6 \cdot 10^{-194}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.62 \cdot 10^{-260}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -7 \cdot 10^{-306}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 2.3 \cdot 10^{-189}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 4.2 \cdot 10^{-147}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 0.108:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 4.4 \cdot 10^{+25}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;mu \leq 2.65 \cdot 10^{+256}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 12
Error27.0
Cost8553
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;mu \leq -5.4 \cdot 10^{-99}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -7.2 \cdot 10^{-113}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -3.25 \cdot 10^{-170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -3.4 \cdot 10^{-200}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -9.8 \cdot 10^{-260}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -2.95 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4.5 \cdot 10^{-189}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 3.3 \cdot 10^{-144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.76 \lor \neg \left(mu \leq 8.9 \cdot 10^{+24}\right):\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 13
Error22.6
Cost8152
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.7 \cdot 10^{+224}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -0.035:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-258}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{-184}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{-67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 8.2 \cdot 10^{+198}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 14
Error22.2
Cost8152
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar\\ \mathbf{if}\;KbT \leq -1.6 \cdot 10^{+174}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(mu + Vef\right) - Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -0.044:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-259}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.8 \cdot 10^{-67}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{+198}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 15
Error22.1
Cost8152
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ \mathbf{if}\;KbT \leq -5.6 \cdot 10^{+175}:\\ \;\;\;\;t_1 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -0.25:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -7.2 \cdot 10^{-255}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.1 \cdot 10^{-185}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 8 \cdot 10^{-67}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{+199}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 16
Error24.7
Cost8020
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -1.5 \cdot 10^{+170}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -3.6 \cdot 10^{-252}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 3.8 \cdot 10^{-184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.55 \cdot 10^{-67}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;KbT \leq 9.5 \cdot 10^{+198}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 17
Error36.5
Cost7696
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -8.5 \cdot 10^{+97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -9.8 \cdot 10^{-45}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq -5.9 \cdot 10^{-176}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq -3.7 \cdot 10^{-193}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2.3 \cdot 10^{-57}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)} + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 18
Error36.5
Cost7500
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.7 \cdot 10^{+97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -6.2 \cdot 10^{-52}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq -7.8 \cdot 10^{-194}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2.6 \cdot 10^{-60}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)} + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 19
Error37.9
Cost7377
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -5.2 \cdot 10^{+96}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{-23}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq -6.1 \cdot 10^{-167} \lor \neg \left(Vef \leq 4.1 \cdot 10^{-61}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \end{array} \]
Alternative 20
Error36.3
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.7 \cdot 10^{+97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -4.1 \cdot 10^{-234}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 2.75 \cdot 10^{-58}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)} + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 21
Error44.8
Cost2256
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)}\\ t_1 := t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -2.65 \cdot 10^{+38}:\\ \;\;\;\;NaChar \cdot 0.5 + t_0\\ \mathbf{elif}\;KbT \leq -1.25 \cdot 10^{-137}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.2 \cdot 10^{-264}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 2.32 \cdot 10^{+201}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 22
Error44.7
Cost2256
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)}\\ t_1 := t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{if}\;KbT \leq -4 \cdot 10^{+38}:\\ \;\;\;\;NaChar \cdot 0.5 + t_0\\ \mathbf{elif}\;KbT \leq -7.2 \cdot 10^{-138}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -6.8 \cdot 10^{-265}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{+155}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 23
Error46.4
Cost1604
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.55 \cdot 10^{-8}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + \left(\left(1 + \left(\frac{EDonor}{KbT} + \frac{Vef}{KbT}\right)\right) + \frac{mu - Ec}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq -2.7 \cdot 10^{-293}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{+199}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 24
Error45.8
Cost1100
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -5.8 \cdot 10^{-158}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -2.7 \cdot 10^{-293}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{+199}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 25
Error45.8
Cost1100
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.2 \cdot 10^{-157}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{elif}\;KbT \leq -2.7 \cdot 10^{-293}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{+199}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \end{array} \]
Alternative 26
Error46.6
Cost585
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.3 \cdot 10^{-176} \lor \neg \left(KbT \leq -2.55 \cdot 10^{-251}\right):\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;KbT \cdot \frac{NaChar}{Ev}\\ \end{array} \]
Alternative 27
Error46.1
Cost585
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.05 \cdot 10^{-157} \lor \neg \left(KbT \leq -2.7 \cdot 10^{-293}\right):\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT}}\\ \end{array} \]
Alternative 28
Error46.6
Cost320
\[0.5 \cdot \left(NdChar + NaChar\right) \]

Error

Reproduce?

herbie shell --seed 2023018 
(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))))))