?

Average Error: 0.03% → 0.03%
Time: 48.3s
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 0.03

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

  2. Simplified0.03

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

    [Start]0.03

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

    neg-sub0 [=>]0.03

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

    associate--r- [=>]0.03

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

    +-commutative [=>]0.03

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

    sub0-neg [=>]0.03

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

    sub-neg [<=]0.03

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

    associate-+l+ [=>]0.03

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

    +-commutative [=>]0.03

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

    unsub-neg [=>]0.03

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

  3. Final simplification0.03

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

Alternatives

Alternative 1
Error39.46%
Cost15408
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := t_4 + t_1\\ t_6 := t_3 + t_4\\ t_7 := t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -6.8 \cdot 10^{+168}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -6 \cdot 10^{+55}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -1250000000000:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq -5.1 \cdot 10^{-33}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_1\\ \mathbf{elif}\;mu \leq -2.1 \cdot 10^{-96}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;mu \leq -3.9 \cdot 10^{-249}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 4 \cdot 10^{-290}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 1.1 \cdot 10^{-166}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq 7.5 \cdot 10^{-143}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;mu \leq 1.45 \cdot 10^{-97}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq 4.6 \cdot 10^{-18}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq 1.7 \cdot 10^{+103}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 2
Error39.19%
Cost15276
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := t_1 + t_0\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_7 := t_6 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;mu \leq -1.08 \cdot 10^{+169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -5.6 \cdot 10^{+55}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;mu \leq -7800000000:\\ \;\;\;\;t_5 + t_0\\ \mathbf{elif}\;mu \leq -7.2 \cdot 10^{-34}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_1\\ \mathbf{elif}\;mu \leq -3.65 \cdot 10^{-96}:\\ \;\;\;\;t_5 + t_3\\ \mathbf{elif}\;mu \leq -4.2 \cdot 10^{-225}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 4.1 \cdot 10^{-289}:\\ \;\;\;\;t_6 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 1.75 \cdot 10^{-224}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 5 \cdot 10^{-97}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{-18}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{+102}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Error46.22%
Cost15212
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ t_3 := t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := t_4 + t_0\\ t_6 := t_4 + \frac{NaChar}{t_2}\\ t_7 := \frac{NdChar}{t_2} + t_0\\ \mathbf{if}\;Vef \leq -1.8 \cdot 10^{+274}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Vef \leq -1.6 \cdot 10^{+198}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq -2.1 \cdot 10^{+165}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Vef \leq -3.6 \cdot 10^{+78}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq -4.4 \cdot 10^{+59}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq -6.4 \cdot 10^{-46}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2.4 \cdot 10^{-229}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.3 \cdot 10^{+35}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Vef \leq 6.7 \cdot 10^{+149}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Vef \leq 2.25 \cdot 10^{+167}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Vef \leq 2.7 \cdot 10^{+192}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 4
Error46.65%
Cost15212
\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_6 := t_5 + \frac{NaChar}{t_1}\\ t_7 := \frac{NdChar}{t_1} + t_3\\ \mathbf{if}\;Vef \leq -9.8 \cdot 10^{+269}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Vef \leq -9.6 \cdot 10^{+196}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq -3.4 \cdot 10^{+164}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Vef \leq -6.4 \cdot 10^{+77}:\\ \;\;\;\;t_2 + \frac{NaChar}{t_0}\\ \mathbf{elif}\;Vef \leq -1.9 \cdot 10^{+59}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq -1.08 \cdot 10^{-11}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 1.32 \cdot 10^{-225}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 3.1 \cdot 10^{-27}:\\ \;\;\;\;t_5 + t_3\\ \mathbf{elif}\;Vef \leq 65:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 6.2 \cdot 10^{+112}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 2.7 \cdot 10^{+133}:\\ \;\;\;\;t_2 + \frac{NaChar}{t_0 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 5
Error45.23%
Cost15212
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_7 := t_6 + t_4\\ t_8 := t_6 + \frac{NaChar}{t_2}\\ t_9 := \frac{NdChar}{t_2} + t_4\\ \mathbf{if}\;Vef \leq -1.45 \cdot 10^{+273}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;Vef \leq -9.6 \cdot 10^{+196}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;Vef \leq -1.9 \cdot 10^{+81}:\\ \;\;\;\;t_3 + t_6\\ \mathbf{elif}\;Vef \leq -7.5 \cdot 10^{-49}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;Vef \leq 3.05 \cdot 10^{-223}:\\ \;\;\;\;t_5 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 2.2 \cdot 10^{-32}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq 19500:\\ \;\;\;\;t_3 + t_0\\ \mathbf{elif}\;Vef \leq 5 \cdot 10^{+64}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Vef \leq 2.65 \cdot 10^{+112}:\\ \;\;\;\;t_6 + t_1\\ \mathbf{elif}\;Vef \leq 9 \cdot 10^{+148}:\\ \;\;\;\;t_5 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;Vef \leq 1.06 \cdot 10^{+228}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]
Alternative 6
Error35.8%
Cost15212
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_3 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_3\\ t_5 := t_0 + t_3\\ t_6 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;EDonor \leq -3.5 \cdot 10^{+172}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -7.2 \cdot 10^{+119}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{EAccept}{KbT} + 2\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;EDonor \leq -6.5 \cdot 10^{+44}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 3.7 \cdot 10^{-194}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 3.8 \cdot 10^{-45}:\\ \;\;\;\;t_6 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 6 \cdot 10^{+19}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 5.5 \cdot 10^{+52}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.1 \cdot 10^{+96}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 2 \cdot 10^{+135}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 5.1 \cdot 10^{+213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{+290}:\\ \;\;\;\;t_6 + t_0\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 2\right) + \frac{Ev - mu}{KbT}}\\ \end{array} \]
Alternative 7
Error48.22%
Cost15080
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{EAccept}{KbT} + 2\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_1\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{t_2}\\ \mathbf{if}\;EDonor \leq -6.2 \cdot 10^{+234}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -3.8 \cdot 10^{+125}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{+96}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -4.6 \cdot 10^{-83}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -4 \cdot 10^{-220}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 1.6 \cdot 10^{-289}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 0.0016:\\ \;\;\;\;t_4 + \frac{NaChar}{t_2 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;EDonor \leq 7.5 \cdot 10^{+130}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 2.6 \cdot 10^{+219}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{+290}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 2\right) + \frac{Ev - mu}{KbT}}\\ \end{array} \]
Alternative 8
Error48.3%
Cost15080
\[\begin{array}{l} t_0 := \frac{EAccept}{KbT} + 2\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{t_0 + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;EDonor \leq -2 \cdot 10^{+175}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -9 \cdot 10^{+118}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -3.4 \cdot 10^{+81}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -3.8 \cdot 10^{-82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{-222}:\\ \;\;\;\;t_2 + \frac{NaChar}{t_0}\\ \mathbf{elif}\;EDonor \leq 1.02 \cdot 10^{-289}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 1.35 \cdot 10^{-7}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 7.2 \cdot 10^{+126}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 6.8 \cdot 10^{+215}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{+290}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_1\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Vef}{KbT} + 2\right) + \frac{Ev - mu}{KbT}}\\ \end{array} \]
Alternative 9
Error30.61%
Cost15069
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -5.5 \cdot 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 2.2 \cdot 10^{-194}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.4 \cdot 10^{-44}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 9.2 \cdot 10^{+18}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{+52} \lor \neg \left(EDonor \leq 2.3 \cdot 10^{+135}\right) \land EDonor \leq 5.2 \cdot 10^{+213}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Error23%
Cost15068
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.8 \cdot 10^{+131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7.2 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{-66}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 3.1 \cdot 10^{-31}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{+23}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{+109}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 6.4 \cdot 10^{+137}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 11
Error34.57%
Cost14808
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;mu \leq -1.45 \cdot 10^{+209}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 1.55 \cdot 10^{-226}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq 9.6 \cdot 10^{-166}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 3.7 \cdot 10^{-157}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{+128}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Error23.48%
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -3.6 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.35 \cdot 10^{-301}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 6.1 \cdot 10^{-277}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{+39}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Error23.04%
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -8.3 \cdot 10^{+127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.3 \cdot 10^{-249}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4.2 \cdot 10^{-26}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq 0.000182:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 14
Error40.77%
Cost8904
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.8 \cdot 10^{-23}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 1.4 \cdot 10^{-22}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \end{array} \]
Alternative 15
Error55.23%
Cost8016
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -4.2 \cdot 10^{+83}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq -6.6 \cdot 10^{-12}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -3.8 \cdot 10^{-13}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 6 \cdot 10^{+86}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 16
Error41.64%
Cost8009
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -4.3 \cdot 10^{-23} \lor \neg \left(NdChar \leq 1.15 \cdot 10^{+79}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \end{array} \]
Alternative 17
Error55.23%
Cost7888
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -5 \cdot 10^{+83}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq -6.9 \cdot 10^{-12}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -3.8 \cdot 10^{-13}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 3.5 \cdot 10^{+85}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 18
Error43.46%
Cost7881
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -8.8 \cdot 10^{-16} \lor \neg \left(NdChar \leq 1.32 \cdot 10^{+79}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \end{array} \]
Alternative 19
Error43.47%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.65 \cdot 10^{-15} \lor \neg \left(NdChar \leq 1.12 \cdot 10^{+79}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 20
Error51.22%
Cost7752
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -4.8 \cdot 10^{+71}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 2.15 \cdot 10^{+105}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 21
Error54.62%
Cost7624
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -2.3 \cdot 10^{+66}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 9.2 \cdot 10^{+104}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \end{array} \]
Alternative 22
Error62.88%
Cost7501
\[\begin{array}{l} \mathbf{if}\;EDonor \leq -3.6 \cdot 10^{+106} \lor \neg \left(EDonor \leq 5.6 \cdot 10^{+126}\right) \land EDonor \leq 2.1 \cdot 10^{+269}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 23
Error64.12%
Cost7236
\[\begin{array}{l} \mathbf{if}\;Ev \leq -1.8 \cdot 10^{-125}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 24
Error65.1%
Cost7104
\[\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + NdChar \cdot 0.5 \]
Alternative 25
Error73.06%
Cost320
\[0.5 \cdot \left(NdChar + NaChar\right) \]
Alternative 26
Error81.93%
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023090 
(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))))))