Bulmash initializePoisson

Average Error: 0.0 → 0.0

Time: 1.4min

Precision: binary64

Cost: 14592

Math

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

↓

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

FPCore

(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))))))

C

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))));
}

Fortran

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

Java

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))));
}

Python

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))))

Julia

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

MATLAB

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

Wolfram

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]

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. Simplified 0.0

   \[\leadsto \color{blue}{\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(\left(-mu\right) + \left(Ev + EAccept\right)\right)}{KbT}}}} \]
   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 simplification 0.0

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

Alternatives

Alternative 1
Error	25.7
Cost	16260

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{if}\;Ev \leq -2.4 \cdot 10^{+293}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.55 \cdot 10^{+204}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -2.45 \cdot 10^{+182}:\\ \;\;\;\;t_4 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;Ev \leq -1.3 \cdot 10^{+155}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -3 \cdot 10^{+119}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq -1.38 \cdot 10^{+76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -4.5 \cdot 10^{+37}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -29500000000000:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{elif}\;Ev \leq -0.023:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ev \leq -4.2 \cdot 10^{-8}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -1.65 \cdot 10^{-66}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 3.4 \cdot 10^{-227}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 1.2 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 1.55 \cdot 10^{-66}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 2.7 \cdot 10^{-54}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq 3.8 \cdot 10^{+91}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 1.14 \cdot 10^{+281}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \frac{Ec}{-KbT}} + 0.5 \cdot NaChar\\ \end{array} \]

Alternative 2
Error	21.9
Cost	15336

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -1.85 \cdot 10^{+142}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -5.8:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -9.2 \cdot 10^{-57}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq -2.25 \cdot 10^{-119}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4.8 \cdot 10^{-293}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 3.2 \cdot 10^{-276}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 4 \cdot 10^{-222}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;mu \leq 5 \cdot 10^{-102}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 0.0175:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{+116}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 3
Error	26.4
Cost	15276

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_6 := t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Ec \leq -5.2 \cdot 10^{+185}:\\ \;\;\;\;t_4 + t_5\\ \mathbf{elif}\;Ec \leq -5.8 \cdot 10^{+93}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;Ec \leq -2.55 \cdot 10^{+41}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + t_1\\ \mathbf{elif}\;Ec \leq -6.2 \cdot 10^{-89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -2.9 \cdot 10^{-114}:\\ \;\;\;\;t_2 + t_5\\ \mathbf{elif}\;Ec \leq -5.8 \cdot 10^{-224}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;Ec \leq 1.5 \cdot 10^{-306}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 4.5 \cdot 10^{-241}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq 9.2 \cdot 10^{-128}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 6.2 \cdot 10^{-75}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq 2.3 \cdot 10^{+201}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]

Alternative 4
Error	26.4
Cost	15276

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_5 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ \mathbf{if}\;Ec \leq -6.1 \cdot 10^{+187}:\\ \;\;\;\;t_5 + t_1\\ \mathbf{elif}\;Ec \leq -1.9 \cdot 10^{+94}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;Ec \leq -3.3 \cdot 10^{+41}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + t_2\\ \mathbf{elif}\;Ec \leq -5.1 \cdot 10^{-87}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -1.55 \cdot 10^{-114}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;Ec \leq -2.6 \cdot 10^{-224}:\\ \;\;\;\;t_0 + t_2\\ \mathbf{elif}\;Ec \leq -1.36 \cdot 10^{-294}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq 4.5 \cdot 10^{-241}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ \mathbf{elif}\;Ec \leq 5 \cdot 10^{-131}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq 8.5 \cdot 10^{-73}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ec \leq 1.5 \cdot 10^{+201}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]

Alternative 5
Error	24.1
Cost	15012

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ \mathbf{if}\;mu \leq -2.1 \cdot 10^{+135}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -8.5 \cdot 10^{-68}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{elif}\;mu \leq 2.25 \cdot 10^{-304}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{-277}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 5.8 \cdot 10^{-224}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;mu \leq 2.1 \cdot 10^{-71}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_1\\ \mathbf{elif}\;mu \leq 0.00132:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.3 \cdot 10^{+50}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;mu \leq 3.9 \cdot 10^{+157}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 6
Error	19.0
Cost	14940

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;mu \leq -4.9 \cdot 10^{+207}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -5.2 \cdot 10^{-73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -1.2 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.8 \cdot 10^{-167}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 4 \cdot 10^{-79}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq 0.0102:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{+116}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 7
Error	28.5
Cost	14880

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_5 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -9.5 \cdot 10^{+141}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -3.5 \cdot 10^{-68}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{elif}\;mu \leq 2.65 \cdot 10^{-301}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 2.7 \cdot 10^{-276}:\\ \;\;\;\;t_1 + t_0\\ \mathbf{elif}\;mu \leq 1.35 \cdot 10^{-224}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 8 \cdot 10^{-72}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_2\\ \mathbf{elif}\;mu \leq 2.1 \cdot 10^{-5}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 5.7 \cdot 10^{+57}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;mu \leq 1.45 \cdot 10^{+226}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 8
Error	17.6
Cost	14868

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ \mathbf{if}\;EAccept \leq 2.8 \cdot 10^{-167}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{-29}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.15 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.6 \cdot 10^{+127}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.66 \cdot 10^{+199}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]

Alternative 9
Error	27.8
Cost	14816

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \mathbf{if}\;mu \leq -1.9 \cdot 10^{+126}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -2.75 \cdot 10^{-67}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{elif}\;mu \leq 8 \cdot 10^{-291}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 2.25 \cdot 10^{-262}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 4.2 \cdot 10^{-229}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.65 \cdot 10^{-71}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.9 \cdot 10^{-8}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 7.5 \cdot 10^{+36}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 7.8 \cdot 10^{+225}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Error	28.4
Cost	14816

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -2.8 \cdot 10^{+144}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -1.45 \cdot 10^{-67}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{elif}\;mu \leq 10^{-290}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 6.1 \cdot 10^{-263}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + t_0\\ \mathbf{elif}\;mu \leq 2.5 \cdot 10^{-230}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 3.2 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 3.1 \cdot 10^{-8}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 2.05 \cdot 10^{+34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 2.15 \cdot 10^{+226}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 11
Error	28.2
Cost	14816

\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;mu \leq -3.8 \cdot 10^{+135}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq -1.3 \cdot 10^{-67}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{elif}\;mu \leq 8.2 \cdot 10^{-300}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 5.8 \cdot 10^{-277}:\\ \;\;\;\;\frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + t_0\\ \mathbf{elif}\;mu \leq 1.25 \cdot 10^{-229}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.3 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 5.8 \cdot 10^{-8}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 1.5 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.15 \cdot 10^{+226}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 12
Error	19.5
Cost	14808

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;mu \leq -1.85 \cdot 10^{+204}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -4.1 \cdot 10^{-109}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -6.2 \cdot 10^{-167}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.55 \cdot 10^{-77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 0.0155:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq 5.2 \cdot 10^{+116}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 13
Error	18.3
Cost	14804

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EAccept \leq 2.55 \cdot 10^{-160}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.25 \cdot 10^{-36}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.2 \cdot 10^{-15}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 5.5 \cdot 10^{+108}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 5.3 \cdot 10^{+166}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Error	16.3
Cost	14804

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{-\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;mu \leq -3.4 \cdot 10^{+202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -3.35 \cdot 10^{-109}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -7.8 \cdot 10^{-166}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 4.2 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{+116}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 15
Error	27.9
Cost	9312

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_2 := t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_4 := t_0 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{if}\;mu \leq -3.9 \cdot 10^{+125}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -3.6 \cdot 10^{-68}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 8 \cdot 10^{-291}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 7.8 \cdot 10^{-264}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 4 \cdot 10^{-226}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 2.02 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 0.48:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{+26}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.12 \cdot 10^{+226}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 16
Error	28.0
Cost	9064

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_3 := t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{if}\;Vef \leq -8.8 \cdot 10^{+203}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -2.15 \cdot 10^{+142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.3 \cdot 10^{+47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -5 \cdot 10^{-54}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{elif}\;Vef \leq -7 \cdot 10^{-118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -5.2 \cdot 10^{-273}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.22 \cdot 10^{-251}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 8.5 \cdot 10^{-72}:\\ \;\;\;\;t_0 + 0.5 \cdot NaChar\\ \mathbf{elif}\;Vef \leq 1.95 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7.6 \cdot 10^{+56}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 17
Error	27.7
Cost	8932

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{if}\;mu \leq -3.9 \cdot 10^{+125}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -4 \cdot 10^{-69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 10^{-290}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 10^{-263}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;mu \leq 1.1 \cdot 10^{-231}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.65 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.85 \cdot 10^{-6}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 2.35 \cdot 10^{+33}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.3 \cdot 10^{+226}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 18
Error	26.8
Cost	8800

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ t_4 := t_0 + \frac{NaChar}{1 + \frac{Vef}{KbT}}\\ \mathbf{if}\;Vef \leq -9 \cdot 10^{+203}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.15 \cdot 10^{+142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -5.3 \cdot 10^{+47}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq -2.7 \cdot 10^{-115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.02 \cdot 10^{-253}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 1.1 \cdot 10^{-71}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 2.7 \cdot 10^{-31}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 7.6 \cdot 10^{+56}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 19
Error	27.3
Cost	8668

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(\frac{EAccept}{KbT} + 1\right)}\\ \mathbf{if}\;mu \leq -4.1 \cdot 10^{+125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -4.5 \cdot 10^{-67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 5.8 \cdot 10^{-286}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.06 \cdot 10^{-101}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 1.15 \cdot 10^{-7}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 7.2 \cdot 10^{+34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 3.05 \cdot 10^{+226}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{EAccept}{KbT}}\\ \end{array} \]

Alternative 20
Error	23.6
Cost	8016

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.8 \cdot 10^{+159}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{elif}\;KbT \leq -140000000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3.4 \cdot 10^{-36}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 3.5 \cdot 10^{+97}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef - \left(\left(Ec - EDonor\right) - mu\right)}{KbT}}} + 0.5 \cdot NaChar\\ \end{array} \]

Alternative 21
Error	24.1
Cost	7888

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}} + 0.5 \cdot NaChar\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -4.1 \cdot 10^{+158}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -140000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -6.2 \cdot 10^{-35}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 6.7 \cdot 10^{+97}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 22
Error	24.1
Cost	7760

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(mu + EDonor\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;KbT \leq -2.5 \cdot 10^{+159}:\\ \;\;\;\;\frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{elif}\;KbT \leq -140000000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -6.2 \cdot 10^{-35}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;KbT \leq 8.8 \cdot 10^{+200}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + 0.5 \cdot NaChar\\ \end{array} \]

Alternative 23
Error	39.6
Cost	7432

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{if}\;Ec \leq -5 \cdot 10^{-47}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq 3.7 \cdot 10^{-85}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 24
Error	41.5
Cost	7368

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{if}\;EDonor \leq -0.029:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -3.8 \cdot 10^{-283}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 25
Error	39.3
Cost	7368

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{if}\;EDonor \leq -2.5 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 810000:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + 0.5 \cdot NaChar\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 26
Error	47.2
Cost	2384

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{\frac{Vef}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + \frac{mu}{KbT}} + 0.5 \cdot NaChar\\ \mathbf{if}\;EAccept \leq -1.36 \cdot 10^{-179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.8 \cdot 10^{-12}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.4 \cdot 10^{+97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{+161}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 4.3 \cdot 10^{+294}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5 + 0.5 \cdot NaChar\\ \end{array} \]

Alternative 27
Error	47.5
Cost	1736

\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + 0.5 \cdot NaChar\\ t_1 := \frac{NdChar}{1 + \frac{mu}{KbT}} + 0.5 \cdot NaChar\\ \mathbf{if}\;EAccept \leq -2.15 \cdot 10^{-189}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 8 \cdot 10^{-269}:\\ \;\;\;\;\frac{1}{\frac{mu}{KbT} + \left(\frac{1}{KbT} \cdot \left(\left(Vef + EDonor\right) - Ec\right) - -2\right)} \cdot NdChar + 0.5 \cdot NaChar\\ \mathbf{elif}\;EAccept \leq 0.057:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 4.7 \cdot 10^{+294}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 28
Error	46.4
Cost	968

\[\begin{array}{l} t_0 := \frac{NdChar}{1 + \frac{mu}{KbT}} + 0.5 \cdot NaChar\\ \mathbf{if}\;EDonor \leq -7.2 \cdot 10^{+24}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 60000000000000:\\ \;\;\;\;NdChar \cdot 0.5 + 0.5 \cdot NaChar\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]

Alternative 29
Error	46.2
Cost	448

\[NdChar \cdot 0.5 + 0.5 \cdot NaChar \]

Reproduce

herbie shell --seed 2023069 
(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))))))