?

Average Error: 0.0 → 0.0
Time: 59.5s
Precision: binary64
Cost: 14592

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}} \]
(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 (/ (- Vef (- (- Ec EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ Vef (+ (- mu) (+ Ev EAccept))) 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(((Vef - ((Ec - EDonor) - mu)) / KbT)))) + (NaChar / (1.0 + exp(((Vef + (-mu + (Ev + EAccept))) / KbT))));
}

real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function
↓
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((vef - ((ec - edonor) - mu)) / kbt)))) + (nachar / (1.0d0 + exp(((vef + (-mu + (ev + eaccept))) / 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(((Vef - ((Ec - EDonor) - mu)) / KbT)))) + (NaChar / (1.0 + Math.exp(((Vef + (-mu + (Ev + EAccept))) / 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(((Vef - ((Ec - EDonor) - mu)) / KbT)))) + (NaChar / (1.0 + math.exp(((Vef + (-mu + (Ev + EAccept))) / 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(Vef - Float64(Float64(Ec - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Vef + Float64(Float64(-mu) + Float64(Ev + EAccept))) / KbT)))))
end

function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end
↓
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((Vef - ((Ec - EDonor) - mu)) / KbT)))) + (NaChar / (1.0 + exp(((Vef + (-mu + (Ev + EAccept))) / 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[(Vef - N[(N[(Ec - EDonor), $MachinePrecision] - mu), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(Vef + N[((-mu) + N[(Ev + EAccept), $MachinePrecision]), $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{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\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

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

    [Start]0.0

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

    rational.json-simplify-12 [=>]0.0

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

    rational.json-simplify-42 [=>]0.0

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

    rational.json-simplify-42 [=>]0.0

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

    rational.json-simplify-45 [<=]0.0

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

    rational.json-simplify-5 [=>]0.0

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

  3. Final simplification0.0

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

Alternatives

Alternative 1
Error21.2
Cost16124
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_5 := t_3 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;KbT \leq -7.8 \cdot 10^{+133}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -3.8 \cdot 10^{-30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5.2 \cdot 10^{-127}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq -4.4 \cdot 10^{-208}:\\ \;\;\;\;\frac{NdChar}{1 + \frac{mu}{KbT}} + t_0\\ \mathbf{elif}\;KbT \leq -4.2 \cdot 10^{-274}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -8.8 \cdot 10^{-296}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq -8 \cdot 10^{-309}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.2 \cdot 10^{-272}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 1.6 \cdot 10^{-229}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 9 \cdot 10^{-172}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.2 \cdot 10^{-156}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.22 \cdot 10^{-94}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 8.6 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;KbT \leq 5.7:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{+53}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 2
Error20.5
Cost15860
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.75 \cdot 10^{+59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-203}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -4.4 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -9.5 \cdot 10^{-296}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{-305}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 9.2 \cdot 10^{-273}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-231}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 10^{-171}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.9 \cdot 10^{-158}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 10^{-102}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-88}:\\ \;\;\;\;NdChar\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{+54}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Error14.4
Cost15528
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.1 \cdot 10^{+97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.18 \cdot 10^{+48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -2.1 \cdot 10^{-48}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -5 \cdot 10^{-138}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq -1.7 \cdot 10^{-245}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -4.8 \cdot 10^{-299}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.55 \cdot 10^{-142}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 17500000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.6 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 8 \cdot 10^{+104}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 4
Error14.3
Cost15264
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Vef \leq -8.5 \cdot 10^{+88}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -4.8 \cdot 10^{+47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.05 \cdot 10^{-51}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -4.3 \cdot 10^{-299}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 6.3 \cdot 10^{-142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 12200000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 8 \cdot 10^{+63}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.9 \cdot 10^{+104}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 5
Error17.7
Cost15200
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Ev \leq -7 \cdot 10^{+139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -1.55 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{+61}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -2.2 \cdot 10^{-60}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;Ev \leq -2.2 \cdot 10^{-106}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq -7.2 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -7.8 \cdot 10^{-290}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 8.5 \cdot 10^{-268}:\\ \;\;\;\;NdChar + t_0\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 6
Error24.8
Cost15140
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_3 := NdChar + t_2\\ \mathbf{if}\;Vef \leq -1.3 \cdot 10^{+178}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -3.1 \cdot 10^{+137}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -5.8 \cdot 10^{+88}:\\ \;\;\;\;\frac{NdChar}{1 + \frac{mu}{KbT}} + t_2\\ \mathbf{elif}\;Vef \leq -1.12 \cdot 10^{-299}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.3 \cdot 10^{-100}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.65 \cdot 10^{-19}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 220000000000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{+25}:\\ \;\;\;\;\left(-1 + \left(1 - \frac{NdChar}{-1 + \frac{Ec}{KbT}}\right)\right) + t_2\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{+98}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 3.4 \cdot 10^{+217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{+248}:\\ \;\;\;\;NdChar + t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Error17.2
Cost15072
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{if}\;mu \leq -1.2 \cdot 10^{+206}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.52 \cdot 10^{-179}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.4 \cdot 10^{-300}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 5.7 \cdot 10^{-61}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.75 \cdot 10^{+22}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 4.1 \cdot 10^{+138}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3.6 \cdot 10^{+225}:\\ \;\;\;\;NdChar + t_0\\ \mathbf{elif}\;mu \leq 1.2 \cdot 10^{+238}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 8
Error24.1
Cost14880
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_3 := NdChar + t_2\\ \mathbf{if}\;NaChar \leq -2.8 \cdot 10^{+172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq -5.3 \cdot 10^{+78}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -2 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.5 \cdot 10^{-162}:\\ \;\;\;\;\frac{NdChar}{1 + \frac{EDonor}{KbT}} + t_2\\ \mathbf{elif}\;NaChar \leq -1.2 \cdot 10^{-211}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 1.25 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 3.95 \cdot 10^{-137}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.45 \cdot 10^{+68}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 9
Error25.5
Cost14876
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_2 := NdChar + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -9.5 \cdot 10^{+231}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{+71}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -4.2 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -2.1 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -1.05 \cdot 10^{-66}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Ev \leq -7.5 \cdot 10^{-104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -6.8 \cdot 10^{-183}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -1.02 \cdot 10^{-200}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 4.8 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq 5.6 \cdot 10^{+59}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;NdChar + t_0\\ \end{array} \]
Alternative 10
Error24.1
Cost9696
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_3 := NdChar + t_2\\ \mathbf{if}\;NaChar \leq -5.5 \cdot 10^{+174}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq -3 \cdot 10^{+80}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -4.1 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.35 \cdot 10^{-161}:\\ \;\;\;\;\frac{NdChar}{1 + \frac{EDonor}{KbT}} + t_2\\ \mathbf{elif}\;NaChar \leq -1.2 \cdot 10^{-211}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 1.4 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.9 \cdot 10^{-49}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 7.5 \cdot 10^{+81}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 11
Error27.4
Cost8948
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_2 := NdChar + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{if}\;mu \leq -4.4 \cdot 10^{+138}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.05 \cdot 10^{-24}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -3 \cdot 10^{-146}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -2.5 \cdot 10^{-183}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -3.8 \cdot 10^{-205}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;mu \leq -3.1 \cdot 10^{-227}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -3.2 \cdot 10^{-245}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -1.3 \cdot 10^{-255}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 4.2 \cdot 10^{-196}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{-75}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 9.8 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 920000000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 3.3 \cdot 10^{+272}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \end{array} \]
Alternative 12
Error22.1
Cost8148
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.85 \cdot 10^{+183}:\\ \;\;\;\;\frac{NdChar}{2} + t_0\\ \mathbf{elif}\;KbT \leq 1.38 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 0.024:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.65 \cdot 10^{+67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{+190}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 13
Error31.9
Cost8028
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := NdChar + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{if}\;Vef \leq -6.8 \cdot 10^{+155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -3.2 \cdot 10^{-249}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -2.5 \cdot 10^{-298}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 6.2 \cdot 10^{-221}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 6.6 \cdot 10^{-139}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.3 \cdot 10^{-121}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq 6 \cdot 10^{-91}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 14
Error23.0
Cost7952
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ t_1 := NdChar + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -5.9 \cdot 10^{+187}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4.1 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{-6}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 8.6 \cdot 10^{+69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{+190}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 15
Error22.5
Cost7952
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(EAccept + Ev\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.2 \cdot 10^{+182}:\\ \;\;\;\;\frac{NdChar}{2} + t_0\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{-88}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.32 \cdot 10^{-9}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{+70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{+190}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Ec}{-KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 16
Error32.3
Cost7636
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;KbT \leq -3.3 \cdot 10^{+187}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -6.6 \cdot 10^{-283}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;KbT \leq 4.7 \cdot 10^{-222}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.32 \cdot 10^{-94}:\\ \;\;\;\;NdChar\\ \mathbf{elif}\;KbT \leq 4.5 \cdot 10^{+212}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 17
Error32.9
Cost7504
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -7.4 \cdot 10^{+183}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -7.1 \cdot 10^{-283}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.9 \cdot 10^{-91}:\\ \;\;\;\;NdChar\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{+208}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 18
Error31.5
Cost7504
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.25 \cdot 10^{+185}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq -5 \cdot 10^{-74}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;KbT \leq 2.8 \cdot 10^{-91}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{+213}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 19
Error28.9
Cost7368
\[\begin{array}{l} \mathbf{if}\;KbT \leq -3.8 \cdot 10^{+183}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 10^{+214}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 20
Error30.2
Cost7236
\[\begin{array}{l} \mathbf{if}\;EAccept \leq 5.6 \cdot 10^{+62}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{Vef + Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 21
Error37.1
Cost1864
\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.4 \cdot 10^{+87}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 1.72 \cdot 10^{+16}:\\ \;\;\;\;NdChar\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 22
Error37.0
Cost1096
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.5 \cdot 10^{+84}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{+16}:\\ \;\;\;\;NdChar\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 23
Error37.0
Cost712
\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -2.5 \cdot 10^{+88}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.6 \cdot 10^{+14}:\\ \;\;\;\;NdChar\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 24
Error38.6
Cost584
\[\begin{array}{l} t_0 := NdChar + NaChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -0.125:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 180:\\ \;\;\;\;NdChar\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 25
Error41.9
Cost456
\[\begin{array}{l} \mathbf{if}\;KbT \leq -4.4 \cdot 10^{+242}:\\ \;\;\;\;0.5 \cdot NaChar\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{+16}:\\ \;\;\;\;NdChar\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot NaChar\\ \end{array} \]
Alternative 26
Error42.6
Cost64
\[NdChar \]

Error

Reproduce?

herbie shell --seed 2023074 
(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))))))