?

Average Accuracy: 100.0% → 100.0%
Time: 57.6s
Precision: binary64
Cost: 14528

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}} \]
(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 (- (+ Vef EDonor) 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 + ((Vef + EDonor) - 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 + ((vef + edonor) - 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 + ((Vef + EDonor) - 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 + ((Vef + EDonor) - 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(Float64(Vef + EDonor) - Ec)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Vef + Float64(Ev + 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 + ((Vef + EDonor) - 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[(N[(Vef + EDonor), $MachinePrecision] - Ec), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(Vef + N[(Ev + EAccept), $MachinePrecision]), $MachinePrecision] - mu), $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(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}

Error?

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 100.0%

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

  2. Simplified100.0%

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

    [Start]100.0

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

    neg-sub0 [=>]100.0

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

    associate--r- [=>]100.0

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

    +-commutative [=>]100.0

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

    neg-sub0 [<=]100.0

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

    sub-neg [<=]100.0

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

    associate--l- [=>]100.0

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

    unsub-neg [=>]100.0

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

    +-commutative [=>]100.0

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

    associate-+l+ [=>]100.0

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

  3. Final simplification100.0%

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

Alternatives

Alternative 1
Accuracy65.3%
Cost15860
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_3 := NdChar + t_2\\ t_4 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_5 := t_0 + t_1\\ \mathbf{if}\;EDonor \leq -5.2 \cdot 10^{+231}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.7 \cdot 10^{+194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -4.1 \cdot 10^{+133}:\\ \;\;\;\;t_2 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;EDonor \leq -4.4 \cdot 10^{+23}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -1.7 \cdot 10^{-67}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -2.3 \cdot 10^{-193}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -3.7 \cdot 10^{-295}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.15 \cdot 10^{-282}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 4.4 \cdot 10^{-262}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 1.5 \cdot 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 2.3 \cdot 10^{-214}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.3 \cdot 10^{-192}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;EDonor \leq 2.9 \cdot 10^{-66}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 2
Accuracy65.6%
Cost15600
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_2 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -2.4 \cdot 10^{+72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -750:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.4 \cdot 10^{-41}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.36 \cdot 10^{-78}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3.3 \cdot 10^{-162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.2 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-267}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-80}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.5 \cdot 10^{+145}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{1 + \left(0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT} + \left(1 + \frac{EAccept}{KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{+225}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 3
Accuracy67.4%
Cost15596
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_3 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -4.8 \cdot 10^{+72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -105:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.3 \cdot 10^{-39}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -2.8 \cdot 10^{-81}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -5.8 \cdot 10^{-189}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -5.6 \cdot 10^{-251}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.9 \cdot 10^{-265}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.3 \cdot 10^{-195}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 6.8 \cdot 10^{-79}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.06 \cdot 10^{-7}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{+62}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 4
Accuracy71.2%
Cost15333
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;NdChar \leq -8.8 \cdot 10^{+66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -8.6 \cdot 10^{+15}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -1.15 \cdot 10^{-184}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-144}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 4 \cdot 10^{-86}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.7 \cdot 10^{-48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 31500000:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 2 \cdot 10^{+138} \lor \neg \left(NdChar \leq 1.7 \cdot 10^{+167}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + EDonor \cdot \frac{KbT}{Vef}}{KbT \cdot \frac{KbT}{Vef}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \end{array} \]
Alternative 5
Accuracy75.4%
Cost14936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -5.3 \cdot 10^{+113}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -1.1 \cdot 10^{-228}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq -5 \cdot 10^{-275}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 1.7 \cdot 10^{-170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 4.3 \cdot 10^{-67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 6.2 \cdot 10^{+14}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Accuracy63.6%
Cost13892
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := NdChar + t_1\\ \mathbf{if}\;KbT \leq -1.55 \cdot 10^{+94}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;KbT \leq -35:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -4.8 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-267}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 5.9 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 10^{-80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 6.2 \cdot 10^{+148}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT} + \left(1 + \frac{EAccept}{KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq 4.8 \cdot 10^{+225}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 7
Accuracy64.1%
Cost9964
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := 1 + \frac{EAccept}{KbT}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_3 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -2.2 \cdot 10^{+181}:\\ \;\;\;\;t_2 + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -6 \cdot 10^{+132}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.2 \cdot 10^{+95}:\\ \;\;\;\;t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -1700:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -4.2 \cdot 10^{-188}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 2.35 \cdot 10^{-265}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{-195}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 2.55 \cdot 10^{-82}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-5}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{+33}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{+137}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT} + t_1\right)}\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{+225}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + t_1}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 8
Accuracy64.5%
Cost9828
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := NdChar + t_1\\ t_3 := t_1 + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -2.2 \cdot 10^{+118}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -4:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.6 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{-267}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.4 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.1 \cdot 10^{+77}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 6.2 \cdot 10^{+148}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT} + \left(1 + \frac{EAccept}{KbT}\right)\right)}\\ \mathbf{elif}\;KbT \leq 4.8 \cdot 10^{+225}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 9
Accuracy64.8%
Cost9444
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{\left(\frac{mu}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{Ec}{KbT}}\\ t_2 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -1.85 \cdot 10^{+182}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -9.4 \cdot 10^{+135}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.35 \cdot 10^{+95}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1950:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.12 \cdot 10^{-265}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.6 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-74}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.36 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Accuracy65.1%
Cost8676
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := NdChar + t_0\\ t_2 := t_0 + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -8.8 \cdot 10^{+117}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -2050:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3.3 \cdot 10^{-188}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-264}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.25 \cdot 10^{-195}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.22 \cdot 10^{-79}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.8 \cdot 10^{+104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{+140}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{+225}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 11
Accuracy64.7%
Cost8676
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{2}\\ t_2 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -2.25 \cdot 10^{+181}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -1.15 \cdot 10^{+132}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{elif}\;KbT \leq -2.1 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2200:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -4.4 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{-267}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.3 \cdot 10^{-79}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 7 \cdot 10^{+87}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 12
Accuracy64.9%
Cost8544
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(\left(Vef + EDonor\right) - Ec\right)}{KbT}}} + NaChar \cdot 0.5\\ t_2 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -8 \cdot 10^{+122}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1620:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3.2 \cdot 10^{-188}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 7.6 \cdot 10^{-265}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.2 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.75 \cdot 10^{-74}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{+104}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{+144}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 13
Accuracy38.2%
Cost8300
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.5 \cdot 10^{+141}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1 \cdot 10^{+70}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -4.1 \cdot 10^{+56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.7 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -6.6 \cdot 10^{-19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -4 \cdot 10^{-57}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{elif}\;Ev \leq -2.55 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.9 \cdot 10^{-146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -5 \cdot 10^{-229}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 2.1 \cdot 10^{-229}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq 1.05 \cdot 10^{-88}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 14
Accuracy37.5%
Cost8293
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;EAccept \leq -5.5 \cdot 10^{-229}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{-212}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.05 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.2 \cdot 10^{-71}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.2 \cdot 10^{-51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3 \cdot 10^{+88}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.6 \cdot 10^{+150}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 5.4 \cdot 10^{+153} \lor \neg \left(EAccept \leq 4.8 \cdot 10^{+207}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + NdChar \cdot 0.5\\ \end{array} \]
Alternative 15
Accuracy42.7%
Cost8292
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -3.2 \cdot 10^{+117}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -1.7 \cdot 10^{-179}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.3 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-7}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.15 \cdot 10^{+68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.25 \cdot 10^{+108}:\\ \;\;\;\;t_2 + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{+143}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 7.8 \cdot 10^{+228}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 16
Accuracy61.1%
Cost8288
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;KbT \leq -2.6 \cdot 10^{+118}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq -1 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -5.4 \cdot 10^{-110}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-167}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.45 \cdot 10^{-179}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{-77}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.3 \cdot 10^{-60}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.3 \cdot 10^{+224}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 17
Accuracy62.7%
Cost8288
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := NdChar + t_0\\ \mathbf{if}\;KbT \leq -1.65 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -82:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -3 \cdot 10^{-188}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.05 \cdot 10^{-264}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4 \cdot 10^{-195}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.8 \cdot 10^{-81}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.6 \cdot 10^{+104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{+225}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 18
Accuracy42.4%
Cost8161
\[\begin{array}{l} t_0 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -5.4 \cdot 10^{+117}:\\ \;\;\;\;t_2 + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq -1.25 \cdot 10^{-33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -1.45 \cdot 10^{-179}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 1.15 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 7.5 \cdot 10^{-8}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.85 \cdot 10^{+68}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.55 \cdot 10^{+108} \lor \neg \left(KbT \leq 5.2 \cdot 10^{+140}\right):\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 19
Accuracy40.8%
Cost7905
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ t_2 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -2.05 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -3.1 \cdot 10^{-10}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.85 \cdot 10^{-180}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{-76}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 9.2 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{+70}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;KbT \leq 5.4 \cdot 10^{+107} \lor \neg \left(KbT \leq 7 \cdot 10^{+141}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 20
Accuracy41.3%
Cost7640
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ t_2 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -1.9 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -8.5 \cdot 10^{-10}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.4 \cdot 10^{-179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 3.7 \cdot 10^{-76}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.7 \cdot 10^{+27}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 2.1 \cdot 10^{+146}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Accuracy38.3%
Cost7640
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_1 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;EAccept \leq -4.6 \cdot 10^{-229}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 6.5 \cdot 10^{-214}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 6 \cdot 10^{-106}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.2 \cdot 10^{-71}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 1.1 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.35 \cdot 10^{+72}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 22
Accuracy21.7%
Cost2024
\[\begin{array}{l} t_0 := \frac{NaChar}{2} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ t_1 := \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept - mu}{KbT}\right)}\\ t_2 := \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_3 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -4.7 \cdot 10^{-23}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -5 \cdot 10^{-117}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;NdChar \leq -5 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 2.8 \cdot 10^{-208}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 5.3 \cdot 10^{-140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.35 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.2 \cdot 10^{-27}:\\ \;\;\;\;t_2 - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 10^{+35}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 2.6 \cdot 10^{+127}:\\ \;\;\;\;t_2 + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 1.36 \cdot 10^{+225}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 23
Accuracy21.8%
Cost2012
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(\frac{Vef}{KbT} + 2\right) + \frac{EAccept - mu}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ t_2 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -8.2 \cdot 10^{-23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -5 \cdot 10^{-117}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;NdChar \leq -8.8 \cdot 10^{-189}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 3.4 \cdot 10^{-208}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;NdChar \leq 1.35 \cdot 10^{-140}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 8.5 \cdot 10^{-100}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 2.42 \cdot 10^{-26}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 1.75 \cdot 10^{+137}:\\ \;\;\;\;t_1 + \frac{NaChar}{2}\\ \mathbf{elif}\;NdChar \leq 5.8 \cdot 10^{+228}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 24
Accuracy36.7%
Cost1740
\[\begin{array}{l} t_0 := \frac{Vef}{KbT} + 2\\ t_1 := NdChar + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + t_0\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -7.2 \cdot 10^{-268}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.12 \cdot 10^{-268}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT} + \left(t_0 + \frac{EAccept - mu}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 5.5 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 25
Accuracy27.4%
Cost1492
\[\begin{array}{l} t_0 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.5 \cdot 10^{+72}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -2.45 \cdot 10^{-135}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{elif}\;KbT \leq -1.45 \cdot 10^{-258}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{-218}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;KbT \leq 2.4 \cdot 10^{-24}:\\ \;\;\;\;\frac{NdChar}{1 - \frac{Ec}{KbT}} + \frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 26
Accuracy27.3%
Cost1492
\[\begin{array}{l} t_0 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.6 \cdot 10^{+72}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.35 \cdot 10^{-135}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{elif}\;KbT \leq -7 \cdot 10^{-255}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.45 \cdot 10^{-173}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;KbT \leq 1.1 \cdot 10^{-24}:\\ \;\;\;\;\frac{NdChar}{1 - \frac{Ec}{KbT}} - \frac{NaChar}{\frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 27
Accuracy27.9%
Cost1364
\[\begin{array}{l} t_0 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.5 \cdot 10^{+72}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -1.8 \cdot 10^{-135}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{elif}\;KbT \leq -2.25 \cdot 10^{-253}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.3 \cdot 10^{-173}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{elif}\;KbT \leq 6.6 \cdot 10^{+25}:\\ \;\;\;\;\frac{NdChar}{1 - \frac{Ec}{KbT}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 28
Accuracy26.9%
Cost1100
\[\begin{array}{l} t_0 := \frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -1.5 \cdot 10^{+72}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -2.1 \cdot 10^{-135}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{elif}\;KbT \leq -1.7 \cdot 10^{-252}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 1.8 \cdot 10^{-246}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 29
Accuracy27.3%
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.5 \cdot 10^{+72} \lor \neg \left(KbT \leq 5 \cdot 10^{-247}\right):\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \end{array} \]
Alternative 30
Accuracy18.3%
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2 \cdot 10^{+72}:\\ \;\;\;\;\frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{-175}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{Vef}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2}\\ \end{array} \]
Alternative 31
Accuracy19.0%
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.85 \cdot 10^{+73}:\\ \;\;\;\;\frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 4.7 \cdot 10^{-168}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{Vef}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2}\\ \end{array} \]
Alternative 32
Accuracy18.0%
Cost192
\[\frac{NaChar}{2} \]

Error

Reproduce?

herbie shell --seed 2023151 
(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))))))