?

Average Error: 0.0 → 0.0
Time: 52.4s
Precision: binary64
Cost: 27392

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + {\left(\sqrt{e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\right)}^{2}} \]
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
↓
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (+ mu (+ EDonor (- Vef Ec))) KbT))))
  (/
   NaChar
   (+ 1.0 (pow (sqrt (exp (/ (+ (+ Vef Ev) (- EAccept mu)) KbT))) 2.0)))))
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
↓
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + pow(sqrt(exp((((Vef + Ev) + (EAccept - mu)) / KbT))), 2.0)));
}

real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function
↓
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((mu + (edonor + (vef - ec))) / kbt)))) + (nachar / (1.0d0 + (sqrt(exp((((vef + ev) + (eaccept - mu)) / kbt))) ** 2.0d0)))
end function

public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + Math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
↓
public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + Math.pow(Math.sqrt(Math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))), 2.0)));
}

def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))))
↓
def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + math.pow(math.sqrt(math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))), 2.0)))

function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(-Float64(Float64(Float64(Ec - Vef) - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Float64(Ev + Vef) + EAccept) + Float64(-mu)) / KbT)))))
end
↓
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(mu + Float64(EDonor + Float64(Vef - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + (sqrt(exp(Float64(Float64(Float64(Vef + Ev) + Float64(EAccept - mu)) / KbT))) ^ 2.0))))
end

function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end
↓
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + (sqrt(exp((((Vef + Ev) + (EAccept - mu)) / KbT))) ^ 2.0)));
end

code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[((-N[(N[(N[(Ec - Vef), $MachinePrecision] - EDonor), $MachinePrecision] - mu), $MachinePrecision]) / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(N[(Ev + Vef), $MachinePrecision] + EAccept), $MachinePrecision] + (-mu)), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[(N[(mu + N[(EDonor + N[(Vef - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Power[N[Sqrt[N[Exp[N[(N[(N[(Vef + Ev), $MachinePrecision] + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]], $MachinePrecision], 2.0], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}}
↓
\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + {\left(\sqrt{e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\right)}^{2}}

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 0.0

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

  2. Simplified0.0

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

    [Start]0.0

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

    neg-sub0 [=>]0.0

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

    associate--r- [=>]0.0

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

    +-commutative [=>]0.0

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

    sub0-neg [=>]0.0

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

    sub-neg [<=]0.0

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

    associate-+l+ [=>]0.0

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

    +-commutative [=>]0.0

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

    unsub-neg [=>]0.0

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

  3. Applied egg-rr0.0

    \[\leadsto \frac{NdChar}{1 + e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}}} + \frac{NaChar}{1 + \color{blue}{{\left(\sqrt{e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\right)}^{2}}} \]

  4. Final simplification0.0

    \[\leadsto \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + {\left(\sqrt{e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}}\right)}^{2}} \]

Alternatives

Alternative 1
Error21.4
Cost15728
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_6 := t_0 + t_3\\ \mathbf{if}\;mu \leq -2.85 \cdot 10^{+81}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -4.2 \cdot 10^{-5}:\\ \;\;\;\;t_2 + t_3\\ \mathbf{elif}\;mu \leq -6.1 \cdot 10^{-106}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -1.15 \cdot 10^{-135}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;mu \leq -3.8 \cdot 10^{-166}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -5.7 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{-236}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu - Ec\right)}{KbT}}}\\ \mathbf{elif}\;mu \leq 4.7 \cdot 10^{-144}:\\ \;\;\;\;t_4 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{-73}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;mu \leq 38000000000000:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + \left(1 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;mu \leq 3.7 \cdot 10^{+28}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;mu \leq 6.5 \cdot 10^{+134}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 2
Error28.3
Cost15277
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_3 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_5 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{if}\;Ec \leq -4 \cdot 10^{+222}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -3.05 \cdot 10^{+54}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -6.2 \cdot 10^{-26}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -4.4 \cdot 10^{-107}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + \left(1 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Ec \leq -5.5 \cdot 10^{-177}:\\ \;\;\;\;t_3 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Ec \leq -1.25 \cdot 10^{-197}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ec \leq -1.1 \cdot 10^{-208}:\\ \;\;\;\;t_1 + t_3\\ \mathbf{elif}\;Ec \leq -3.15 \cdot 10^{-236}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -3.1 \cdot 10^{-307} \lor \neg \left(Ec \leq 2.05 \cdot 10^{-187}\right) \land Ec \leq 4.3 \cdot 10^{+43}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 3
Error28.3
Cost15276
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_4 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_5 := t_2 + t_4\\ t_6 := t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{if}\;Ec \leq -5.2 \cdot 10^{+223}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ec \leq -1.02 \cdot 10^{+49}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -1.6 \cdot 10^{-25}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq -1.4 \cdot 10^{-106}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} + \left(1 + 0.5 \cdot \frac{Ev \cdot Ev}{KbT \cdot KbT}\right)\right)}\\ \mathbf{elif}\;Ec \leq -1.5 \cdot 10^{-184}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Ec \leq -2.5 \cdot 10^{-199}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(2 + \frac{EAccept}{KbT}\right) + 0.5 \cdot \frac{EAccept \cdot EAccept}{KbT \cdot KbT}}\\ \mathbf{elif}\;Ec \leq -1.12 \cdot 10^{-207}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;Ec \leq -3.1 \cdot 10^{-236}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq 7.5 \cdot 10^{-307}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 1.05 \cdot 10^{-179}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_4\\ \mathbf{elif}\;Ec \leq 3.55 \cdot 10^{+44}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 4
Error15.4
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu - Ec\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.15 \cdot 10^{+167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -7.8 \cdot 10^{+48}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.75 \cdot 10^{-203}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.35 \cdot 10^{-45}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq 3.4 \cdot 10^{+23}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 5
Error14.6
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.5 \cdot 10^{+167}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -9.2 \cdot 10^{+48}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 9.5 \cdot 10^{-203}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 2.05 \cdot 10^{-46}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq 1.95 \cdot 10^{+21}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Error28.0
Cost14684
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EDonor \leq -2.65 \cdot 10^{+194}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -1.45 \cdot 10^{+149}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{KbT + \frac{Vef \cdot KbT}{EDonor}}{\frac{KbT \cdot KbT}{EDonor}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{+132}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -7 \cdot 10^{+46}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \frac{Vef}{\frac{KbT}{1 + \frac{EDonor}{Vef}}}\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq -1.65 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -3.7 \cdot 10^{-34}:\\ \;\;\;\;t_2 + NdChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq 1.5 \cdot 10^{+124}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Error15.2
Cost14540
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu - Ec\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.15 \cdot 10^{+167}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -3.4 \cdot 10^{+49}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 3.4 \cdot 10^{+23}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 8
Error0.0
Cost14528
\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]
Alternative 9
Error26.6
Cost14288
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EAccept \leq 4.2 \cdot 10^{-247}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 3.9 \cdot 10^{-175}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_2\\ \mathbf{elif}\;EAccept \leq 7.7 \cdot 10^{+170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 9.6 \cdot 10^{+243}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_1\\ \mathbf{else}:\\ \;\;\;\;t_1 + t_2\\ \end{array} \]
Alternative 10
Error23.5
Cost14280
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -7.5 \cdot 10^{+64}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_1\\ \mathbf{elif}\;EDonor \leq 7.2 \cdot 10^{-75}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu - Ec\right)}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 6.8 \cdot 10^{+128}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + t_1\\ \end{array} \]
Alternative 11
Error26.5
Cost14156
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EAccept \leq 2.25 \cdot 10^{-247}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 4.2 \cdot 10^{-176}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_1\\ \mathbf{elif}\;EAccept \leq 4.2 \cdot 10^{+164}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_1\\ \end{array} \]
Alternative 12
Error30.8
Cost9048
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{if}\;Vef \leq -440000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.8 \cdot 10^{-90}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -4.9 \cdot 10^{-226}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Vef \leq 1.35 \cdot 10^{-294}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{-191}:\\ \;\;\;\;t_1 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;Vef \leq 1.55 \cdot 10^{-53}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot \frac{1}{\left(2 + \left(\frac{Vef}{KbT} + \left(\frac{mu}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Error31.8
Cost9044
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{if}\;Ev \leq -1.15 \cdot 10^{+109}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -8.2 \cdot 10^{-75}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -2.7 \cdot 10^{-110}:\\ \;\;\;\;t_1 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \mathbf{elif}\;Ev \leq 1.9 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 14
Error31.7
Cost8912
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -4 \cdot 10^{+108}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -22:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(2 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq 1.4 \cdot 10^{-135}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 15
Error33.3
Cost8653
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -4.4 \cdot 10^{+108}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)\right)}\\ \mathbf{elif}\;Ev \leq -2.3 \cdot 10^{-10} \lor \neg \left(Ev \leq 1.06 \cdot 10^{-163}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 16
Error39.8
Cost8548
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + \frac{Vef}{KbT}}\\ t_4 := t_2 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{if}\;KbT \leq -6.1 \cdot 10^{+74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq -2.35 \cdot 10^{-60}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq -2.9 \cdot 10^{-129}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -8.5 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -1.62 \cdot 10^{-279}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;KbT \leq 2.5 \cdot 10^{-239}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 1.65 \cdot 10^{-109}:\\ \;\;\;\;t_2 + \frac{NdChar}{\frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 5.4 \cdot 10^{+142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 3.3 \cdot 10^{+164}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 17
Error35.8
Cost8405
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + KbT \cdot \frac{NaChar}{Ev}\\ \mathbf{if}\;Ev \leq -5 \cdot 10^{+179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -2.9 \cdot 10^{+140}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;Ev \leq -7 \cdot 10^{+108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.55 \cdot 10^{-28} \lor \neg \left(Ev \leq 4.5 \cdot 10^{-132}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 + \frac{EAccept}{KbT}}\\ \end{array} \]
Alternative 18
Error31.6
Cost8400
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + KbT \cdot \frac{NaChar}{Ev}\\ \mathbf{if}\;Ev \leq -2.2 \cdot 10^{+179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -4 \cdot 10^{+138}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;Ev \leq -4.4 \cdot 10^{+108}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -5.2 \cdot 10^{-28}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 19
Error31.8
Cost8268
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -4 \cdot 10^{+108}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{-28}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Ev \leq 6.3 \cdot 10^{+29}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \left(Vef + EDonor\right) \cdot \frac{1}{KbT}\right)}\\ \end{array} \]
Alternative 20
Error40.0
Cost8224
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;EDonor \leq -5.2 \cdot 10^{+202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -2.2 \cdot 10^{+43}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -1.65 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -2.5 \cdot 10^{-106}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -1.22 \cdot 10^{-193}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;EDonor \leq -1.4 \cdot 10^{-258}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EDonor \leq 1.6 \cdot 10^{-91}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;EDonor \leq 1.9 \cdot 10^{+122}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Error36.5
Cost8148
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{2}\\ t_2 := t_0 + KbT \cdot \frac{NaChar}{Ev}\\ \mathbf{if}\;Ev \leq -2.2 \cdot 10^{+179}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -4.9 \cdot 10^{+138}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.5 \cdot 10^{+109}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -4.8 \cdot 10^{-28}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;Ev \leq 5.2 \cdot 10^{-152}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \end{array} \]
Alternative 22
Error30.5
Cost8136
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -4 \cdot 10^{+108}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;Ev \leq -5.2 \cdot 10^{-28}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 23
Error40.5
Cost8092
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{if}\;Ec \leq -8 \cdot 10^{-38}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -6.2 \cdot 10^{-157}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -3.15 \cdot 10^{-236}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{elif}\;Ec \leq 5 \cdot 10^{-237}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq 1.55 \cdot 10^{-31}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 4.2 \cdot 10^{+44}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Ec \leq 1.4 \cdot 10^{+172}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 24
Error41.1
Cost8024
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;mu \leq -2.05 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.7 \cdot 10^{-221}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 1.56 \cdot 10^{-105}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 3.3 \cdot 10^{+79}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.2 \cdot 10^{+156}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 5 \cdot 10^{+224}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 25
Error37.7
Cost8020
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NaChar}{2} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.15 \cdot 10^{+109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -3 \cdot 10^{-28}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq 2.1 \cdot 10^{-133}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq 9.2 \cdot 10^{-7}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq 1.1 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \end{array} \]
Alternative 26
Error35.9
Cost8020
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -0.0026:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -5.6 \cdot 10^{-81}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \frac{EDonor}{KbT}}\\ \mathbf{elif}\;NaChar \leq 1.25 \cdot 10^{-160}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 60:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;NaChar \leq 1.9 \cdot 10^{+148}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 27
Error40.9
Cost7896
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;mu \leq -1.1 \cdot 10^{-70}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq -5.7 \cdot 10^{-221}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 7.5 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 4 \cdot 10^{+79}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 5.6 \cdot 10^{+142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 8.5 \cdot 10^{+219}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 28
Error34.5
Cost7884
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -3.6 \cdot 10^{-183}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.6 \cdot 10^{-233}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{-83}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 29
Error39.0
Cost7696
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -18000000000:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -4.8 \cdot 10^{-229}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 2.7 \cdot 10^{-96}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 3.8 \cdot 10^{+40}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 30
Error41.8
Cost7369
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.4 \cdot 10^{-179} \lor \neg \left(KbT \leq -4.5 \cdot 10^{-279}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \end{array} \]
Alternative 31
Error39.0
Cost7369
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -0.00165 \lor \neg \left(NdChar \leq 6 \cdot 10^{-94}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 32
Error41.9
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.05 \cdot 10^{-243}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 5.7 \cdot 10^{-61}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 33
Error47.7
Cost2116
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.4 \cdot 10^{-274}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + \frac{NaChar}{1 + \left(1 + \frac{Ev}{KbT}\right)}\\ \mathbf{elif}\;KbT \leq 2.3 \cdot 10^{+256}:\\ \;\;\;\;\frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \end{array} \]
Alternative 34
Error47.1
Cost713
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.55 \cdot 10^{-179} \lor \neg \left(KbT \leq 2.3 \cdot 10^{+256}\right):\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2 - \frac{Ec}{KbT}}\\ \end{array} \]
Alternative 35
Error46.3
Cost320
\[0.5 \cdot \left(NdChar + NaChar\right) \]
Alternative 36
Error52.1
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023066 
(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))))))