?

Average Error: 0.0 → 0.0
Time: 41.5s
Precision: binary64
Cost: 14528

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]
(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 (/ (- Vef (- (- Ec EDonor) mu)) 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(((Vef - ((Ec - EDonor) - mu)) / 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(((vef - ((ec - edonor) - mu)) / 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(((Vef - ((Ec - EDonor) - mu)) / 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(((Vef - ((Ec - EDonor) - mu)) / 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(Vef - Float64(Float64(Ec - EDonor) - mu)) / 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(((Vef - ((Ec - EDonor) - mu)) / 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[(Vef - N[(N[(Ec - EDonor), $MachinePrecision] - mu), $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{Vef - \left(\left(Ec - EDonor\right) - mu\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

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

    [Start]0.0

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

    rational_best_oopsla_all_46_json_45_simplify-97 [=>]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_best_oopsla_all_46_json_45_simplify-36 [=>]0.0

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

    rational_best_oopsla_all_46_json_45_simplify-81 [=>]0.0

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

    rational_best_oopsla_all_46_json_45_simplify-105 [=>]0.0

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

    rational_best_oopsla_all_46_json_45_simplify-36 [<=]0.0

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

  3. Final simplification0.0

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

Alternatives

Alternative 1
Error30.6
Cost16268
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_0 + t_2\\ t_4 := 0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ 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)}\\ t_7 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_8 := t_7 + t_2\\ t_9 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_10 := t_9 + t_6\\ t_11 := t_9 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_12 := t_7 + t_5\\ \mathbf{if}\;EDonor \leq -2.5 \cdot 10^{+230}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq -8.5 \cdot 10^{+124}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;EDonor \leq -1.25 \cdot 10^{+95}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq -3.2 \cdot 10^{+75}:\\ \;\;\;\;t_0 + t_5\\ \mathbf{elif}\;EDonor \leq -1.3 \cdot 10^{-51}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;EDonor \leq -1.1 \cdot 10^{-128}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;EDonor \leq -5.3 \cdot 10^{-219}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -5 \cdot 10^{-220}:\\ \;\;\;\;t_1 + 0.5 \cdot NaChar\\ \mathbf{elif}\;EDonor \leq -6.5 \cdot 10^{-283}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 9 \cdot 10^{-302}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;EDonor \leq 2 \cdot 10^{-289}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 1.42 \cdot 10^{-189}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.25 \cdot 10^{-149}:\\ \;\;\;\;t_9 + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 2.15 \cdot 10^{-139}:\\ \;\;\;\;0.5 \cdot NdChar + t_5\\ \mathbf{elif}\;EDonor \leq 1.25 \cdot 10^{-78}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{+52}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;EDonor \leq 5.5 \cdot 10^{+130}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;EDonor \leq 1.75 \cdot 10^{+222}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{+290}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_7 + t_6\\ \end{array} \]
Alternative 2
Error30.5
Cost16136
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_4 := t_0 + t_2\\ t_5 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_6 := t_5 + t_2\\ t_7 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_8 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_9 := t_8 + \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_10 := t_8 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_11 := t_1 + t_3\\ \mathbf{if}\;EDonor \leq -1.85 \cdot 10^{+230}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq -3.5 \cdot 10^{+126}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;EDonor \leq -6 \cdot 10^{+94}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq -3.2 \cdot 10^{+79}:\\ \;\;\;\;t_0 + t_3\\ \mathbf{elif}\;EDonor \leq -1.6 \cdot 10^{-42}:\\ \;\;\;\;t_5 + t_3\\ \mathbf{elif}\;EDonor \leq -5.2 \cdot 10^{-129}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;EDonor \leq -3.4 \cdot 10^{-216}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -1.72 \cdot 10^{-261}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;EDonor \leq -5.5 \cdot 10^{-281}:\\ \;\;\;\;\left(0.5 \cdot NdChar + -0.25 \cdot \frac{\left(\left(mu + EDonor\right) + \left(Vef - Ec\right)\right) \cdot NdChar}{KbT}\right) + t_7\\ \mathbf{elif}\;EDonor \leq 4.3 \cdot 10^{-302}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;EDonor \leq 2.05 \cdot 10^{-289}:\\ \;\;\;\;0.5 \cdot NdChar + t_7\\ \mathbf{elif}\;EDonor \leq 4 \cdot 10^{-190}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 4.1 \cdot 10^{-156}:\\ \;\;\;\;t_8 + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 8.6 \cdot 10^{-128}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;EDonor \leq 1.72 \cdot 10^{-78}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 5.2 \cdot 10^{+52}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;EDonor \leq 1.95 \cdot 10^{+126}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;EDonor \leq 5.8 \cdot 10^{+213}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 3
Error30.5
Cost15872
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_4 := t_1 + t_3\\ t_5 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_7 := t_6 + t_0\\ t_8 := t_5 + t_2\\ t_9 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_10 := t_9 + t_2\\ \mathbf{if}\;EDonor \leq -2.3 \cdot 10^{+230}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq -2.8 \cdot 10^{+126}:\\ \;\;\;\;t_6 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{+95}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq -2.2 \cdot 10^{+58}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -3.7 \cdot 10^{+22}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;EDonor \leq -4.5 \cdot 10^{-120}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;EDonor \leq -3.8 \cdot 10^{-148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -6.2 \cdot 10^{-218}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_2\\ \mathbf{elif}\;EDonor \leq 2.1 \cdot 10^{-289}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.1 \cdot 10^{-199}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;EDonor \leq 2.7 \cdot 10^{-139}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 4 \cdot 10^{-82}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq 5.5 \cdot 10^{+52}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;EDonor \leq 3.35 \cdot 10^{+128}:\\ \;\;\;\;t_9 + t_3\\ \mathbf{elif}\;EDonor \leq 6.5 \cdot 10^{+224}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{+290}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_5 + t_0\\ \end{array} \]
Alternative 4
Error29.2
Cost15872
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_6 := t_5 + t_0\\ t_7 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_8 := t_7 + t_3\\ t_9 := t_5 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;EDonor \leq -8.6 \cdot 10^{+230}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq -1.8 \cdot 10^{+126}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;EDonor \leq -6.2 \cdot 10^{+94}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;EDonor \leq -9.5 \cdot 10^{+59}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -3.55 \cdot 10^{+28}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq -4 \cdot 10^{-124}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -2.8 \cdot 10^{-148}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.3 \cdot 10^{-217}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_3\\ \mathbf{elif}\;EDonor \leq -6.9 \cdot 10^{-248}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -2.05 \cdot 10^{-299}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 5.8 \cdot 10^{-305}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;EDonor \leq 9.5 \cdot 10^{-197}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 5.5 \cdot 10^{+52}:\\ \;\;\;\;t_1 + t_3\\ \mathbf{elif}\;EDonor \leq 5 \cdot 10^{+126}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 1.7 \cdot 10^{+215}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EDonor \leq 4.8 \cdot 10^{+290}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_7 + t_0\\ \end{array} \]
Alternative 5
Error29.9
Cost15344
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_3 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + t_1\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_6 := t_5 + t_0\\ t_7 := t_5 + t_1\\ \mathbf{if}\;mu \leq -1.6 \cdot 10^{+169}:\\ \;\;\;\;t_4 + t_1\\ \mathbf{elif}\;mu \leq -4.2 \cdot 10^{+55}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;mu \leq -1000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -2.9 \cdot 10^{-32}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -5.8 \cdot 10^{-100}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq -1.6 \cdot 10^{-293}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;mu \leq 2.1 \cdot 10^{-288}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 8.2 \cdot 10^{-166}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{-142}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq 1.45 \cdot 10^{-98}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 7.5 \cdot 10^{-18}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.05 \cdot 10^{+104}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4 + t_0\\ \end{array} \]
Alternative 6
Error21.3
Cost15204
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{e^{\frac{\left(Vef + Ev\right) - mu}{KbT}} + 1}\\ t_5 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + t_2\\ \mathbf{if}\;mu \leq -1.15 \cdot 10^{+209}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -4 \cdot 10^{+60}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -3.4 \cdot 10^{+32}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -1.15 \cdot 10^{-292}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.3 \cdot 10^{-233}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 1.4 \cdot 10^{-198}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 3.1 \cdot 10^{-142}:\\ \;\;\;\;t_0 + t_2\\ \mathbf{elif}\;mu \leq 7.2 \cdot 10^{-120}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 1.5 \cdot 10^{+65}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 3.6 \cdot 10^{+126}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 7
Error17.6
Cost15068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{e^{\frac{\left(Vef + Ev\right) - mu}{KbT}} + 1}\\ \mathbf{if}\;Vef \leq -2.5 \cdot 10^{+191}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -2.6 \cdot 10^{+60}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{-42}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -5.3 \cdot 10^{-126}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq -1.3 \cdot 10^{-301}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.3 \cdot 10^{-276}:\\ \;\;\;\;\frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 8.8 \cdot 10^{+154}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 8
Error15.0
Cost15068
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_0\\ \mathbf{if}\;Vef \leq -3.8 \cdot 10^{+131}:\\ \;\;\;\;t_1 + t_0\\ \mathbf{elif}\;Vef \leq 7.2 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{-66}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 3.1 \cdot 10^{-31}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4 \cdot 10^{+23}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{+109}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 7.5 \cdot 10^{+144}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{e^{\frac{\left(Vef + Ev\right) - mu}{KbT}} + 1}\\ \end{array} \]
Alternative 9
Error15.0
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_0\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{if}\;Vef \leq -3.6 \cdot 10^{-54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.35 \cdot 10^{-301}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 6.1 \cdot 10^{-277}:\\ \;\;\;\;\frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.5 \cdot 10^{+39}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 10
Error14.7
Cost14672
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{if}\;Vef \leq -8.3 \cdot 10^{+127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.3 \cdot 10^{-249}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4.2 \cdot 10^{-26}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 0.000182:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 11
Error26.8
Cost14552
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := 0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{if}\;NaChar \leq -3.9 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -950:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -4 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 9 \cdot 10^{-77}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 2 \cdot 10^{+41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 1.72 \cdot 10^{+162}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 12
Error28.1
Cost14552
\[\begin{array}{l} t_0 := 0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NaChar \leq -2.6 \cdot 10^{+36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq -1.5 \cdot 10^{-61}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_1\\ \mathbf{elif}\;NaChar \leq -8 \cdot 10^{-172}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 1.22 \cdot 10^{-73}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;NaChar \leq 5.4 \cdot 10^{+40}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 2.9 \cdot 10^{+163}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 13
Error26.4
Cost14156
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -1.85 \cdot 10^{-26}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.75 \cdot 10^{-24}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{+43}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 5.5 \cdot 10^{+212}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \end{array} \]
Alternative 14
Error26.1
Cost8904
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -2.6 \cdot 10^{-29}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 5 \cdot 10^{-22}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \end{array} \]
Alternative 15
Error35.6
Cost8148
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + 1\right)}\\ t_1 := 0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.85 \cdot 10^{-45}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -4.5 \cdot 10^{-102}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;Vef \leq 8 \cdot 10^{-209}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 4.8 \cdot 10^{+159}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 10^{+306}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + t_0\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 16
Error26.7
Cost8008
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -1.3 \cdot 10^{-26}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.12 \cdot 10^{+79}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 17
Error32.8
Cost7752
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.12 \cdot 10^{+72}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.85 \cdot 10^{+105}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + 0.5 \cdot NaChar\\ \end{array} \]
Alternative 18
Error32.9
Cost7752
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -2 \cdot 10^{-14}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + 1\right)}\\ \mathbf{elif}\;NdChar \leq 9 \cdot 10^{+104}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + 0.5 \cdot NaChar\\ \end{array} \]
Alternative 19
Error27.8
Cost7752
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -1.45 \cdot 10^{-17}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.15 \cdot 10^{+79}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 20
Error40.0
Cost7696
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NaChar \leq -1.2 \cdot 10^{-114}:\\ \;\;\;\;0.5 \cdot NdChar + t_0\\ \mathbf{elif}\;NaChar \leq 1.25 \cdot 10^{-106}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 3.5 \cdot 10^{-51}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{EDonor} + t_0\\ \mathbf{elif}\;NaChar \leq 4.5 \cdot 10^{+61}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ \end{array} \]
Alternative 21
Error41.5
Cost7632
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.6 \cdot 10^{+196}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef} + t_0\\ \mathbf{elif}\;Vef \leq -5.8 \cdot 10^{-87}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 5 \cdot 10^{-209}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Vef \leq 6.4 \cdot 10^{+27}:\\ \;\;\;\;0.5 \cdot NdChar + t_0\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 22
Error35.0
Cost7624
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.45 \cdot 10^{+65}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 1.45 \cdot 10^{+105}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{e^{\frac{\left(Vef + Ev\right) - mu}{KbT}} + 1}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + 0.5 \cdot NaChar\\ \end{array} \]
Alternative 23
Error40.2
Cost7500
\[\begin{array}{l} t_0 := 0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;EDonor \leq -1.25 \cdot 10^{+106}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 9.6 \cdot 10^{+125}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 3.1 \cdot 10^{+269}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 24
Error41.0
Cost7236
\[\begin{array}{l} \mathbf{if}\;Ev \leq -1.8 \cdot 10^{-125}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 25
Error41.7
Cost7104
\[0.5 \cdot NdChar + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} \]
Alternative 26
Error46.8
Cost448
\[0.5 \cdot NdChar + \frac{NaChar}{2} \]

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))))))