Average Error: 0.0 → 0.0
Time: 59.3s
Precision: binary64
Cost: 14528
\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
\[\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} \]
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) 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((-(((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 + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + exp(((Ev + (Vef + (EAccept - mu))) / KbT))));
}
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((vef + (edonor + (mu - ec))) / kbt)))) + (nachar / (1.0d0 + exp(((ev + (vef + (eaccept - mu))) / kbt))))
end function
public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + Math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp(((Vef + (EDonor + (mu - Ec))) / 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((-(((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 + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + math.exp(((Ev + (Vef + (EAccept - mu))) / KbT))))
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(-Float64(Float64(Float64(Ec - Vef) - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Float64(Ev + Vef) + EAccept) + Float64(-mu)) / KbT)))))
end
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(Vef + Float64(EDonor + Float64(mu - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Ev + Float64(Vef + Float64(EAccept - mu))) / KbT)))))
end
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((Vef + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + exp(((Ev + (Vef + (EAccept - mu))) / KbT))));
end
code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[((-N[(N[(N[(Ec - Vef), $MachinePrecision] - EDonor), $MachinePrecision] - mu), $MachinePrecision]) / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(N[(Ev + Vef), $MachinePrecision] + EAccept), $MachinePrecision] + (-mu)), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[(N[(Vef + N[(EDonor + N[(mu - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(Ev + N[(Vef + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}}
\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}

Error

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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

    \[\leadsto \color{blue}{\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}} \]
    Proof
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (+.f64 EDonor (-.f64 mu Ec))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Vef (Rewrite<= associate--l+_binary64 (-.f64 (+.f64 EDonor mu) Ec))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= associate--l+_binary64 (-.f64 (+.f64 Vef (+.f64 EDonor mu)) Ec)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= unsub-neg_binary64 (+.f64 (+.f64 Vef (+.f64 EDonor mu)) (neg.f64 Ec))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (+.f64 (+.f64 Vef (+.f64 EDonor mu)) (Rewrite=> neg-sub0_binary64 (-.f64 0 Ec))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= +-commutative_binary64 (+.f64 (-.f64 0 Ec) (+.f64 Vef (+.f64 EDonor mu)))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= associate--r-_binary64 (-.f64 0 (-.f64 Ec (+.f64 Vef (+.f64 EDonor mu))))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 0 (Rewrite<= associate--l-_binary64 (-.f64 (-.f64 Ec Vef) (+.f64 EDonor mu)))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (-.f64 0 (Rewrite<= associate--l-_binary64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= neg-sub0_binary64 (neg.f64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu))) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (-.f64 EAccept mu))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (+.f64 Ev (+.f64 Vef (Rewrite<= unsub-neg_binary64 (+.f64 EAccept (neg.f64 mu))))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 Ev Vef) (+.f64 EAccept (neg.f64 mu)))) KbT))))): 0 points increase in error, 0 points decrease in error
    (+.f64 (/.f64 NdChar (+.f64 1 (exp.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 Ec Vef) EDonor) mu)) KbT)))) (/.f64 NaChar (+.f64 1 (exp.f64 (/.f64 (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (+.f64 Ev Vef) EAccept) (neg.f64 mu))) KbT))))): 0 points increase in error, 0 points decrease in error
  3. Final simplification0.0

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

Alternatives

Alternative 1
Error26.7
Cost15672
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_6 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_7 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_8 := \frac{NaChar}{t_1}\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -1.695581832354788 \cdot 10^{-161}:\\ \;\;\;\;t_5 + t_7\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_6 + t_7\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 1.0738725716912886 \cdot 10^{-277}:\\ \;\;\;\;t_6 + \frac{NdChar}{t_1}\\ \mathbf{elif}\;NdChar \leq 4.527370607055472 \cdot 10^{-246}:\\ \;\;\;\;t_0 + t_8\\ \mathbf{elif}\;NdChar \leq 4.670449221551395 \cdot 10^{-233}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.5347490706638263 \cdot 10^{-189}:\\ \;\;\;\;t_5 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 2.921891922553637 \cdot 10^{-165}:\\ \;\;\;\;t_8 + t_7\\ \mathbf{elif}\;NdChar \leq 9.355397734520384 \cdot 10^{-148}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 1.3081102564943147 \cdot 10^{-95}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 3.40104828733892 \cdot 10^{-79}:\\ \;\;\;\;NdChar \cdot \left(Ec \cdot \frac{0.25}{KbT}\right)\\ \mathbf{elif}\;NdChar \leq 1.0416054743266307 \cdot 10^{+36}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 2
Error27.0
Cost15608
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_6 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_7 := \frac{NaChar}{t_0}\\ t_8 := t_7 + t_6\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -1.695581832354788 \cdot 10^{-161}:\\ \;\;\;\;t_4 + t_6\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_5 + t_6\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.0738725716912886 \cdot 10^{-277}:\\ \;\;\;\;t_5 + \frac{NdChar}{t_0}\\ \mathbf{elif}\;NdChar \leq 4.527370607055472 \cdot 10^{-246}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_7\\ \mathbf{elif}\;NdChar \leq 4.670449221551395 \cdot 10^{-233}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 1.5347490706638263 \cdot 10^{-189}:\\ \;\;\;\;t_4 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 2.921891922553637 \cdot 10^{-165}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;NdChar \leq 9.355397734520384 \cdot 10^{-148}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.3081102564943147 \cdot 10^{-95}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 1.192664902078861 \cdot 10^{-77}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 8.589174106328527 \cdot 10^{+63}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 3
Error27.2
Cost15476
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NaChar}{t_1}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_5 := t_2 + t_4\\ t_6 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_7 := t_3 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_8 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;NdChar \leq -1.2458077283226301 \cdot 10^{-158}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_8 + t_4\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;NdChar \leq 1.0738725716912886 \cdot 10^{-277}:\\ \;\;\;\;t_8 + \frac{NdChar}{t_1}\\ \mathbf{elif}\;NdChar \leq 4.527370607055472 \cdot 10^{-246}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_2\\ \mathbf{elif}\;NdChar \leq 4.670449221551395 \cdot 10^{-233}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.5347490706638263 \cdot 10^{-189}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;NdChar \leq 7.4084770620261335 \cdot 10^{-180}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;NdChar \leq 2.49265942451428 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.192664902078861 \cdot 10^{-77}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;NdChar \leq 8.589174106328527 \cdot 10^{+63}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]
Alternative 4
Error21.6
Cost15200
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2.683043614015885 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.86790103237878 \cdot 10^{-257}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;EAccept \leq 9.705740637835365 \cdot 10^{-76}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 1.6837147035171325 \cdot 10^{-9}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.681 \cdot 10^{+14}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 3.627886011943343 \cdot 10^{+54}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.3792925743667744 \cdot 10^{+81}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 4.679289677389012 \cdot 10^{+155}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 5
Error26.9
Cost15080
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_2 := 1 + e^{\frac{Vef}{KbT}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq -1.2458077283226301 \cdot 10^{-158}:\\ \;\;\;\;t_3 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_5 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 1.0738725716912886 \cdot 10^{-277}:\\ \;\;\;\;t_5 + \frac{NdChar}{t_2}\\ \mathbf{elif}\;NdChar \leq 4.527370607055472 \cdot 10^{-246}:\\ \;\;\;\;t_0 + \frac{NaChar}{t_2}\\ \mathbf{elif}\;NdChar \leq 2.6232239303411027 \cdot 10^{-194}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.2533498958613942 \cdot 10^{-31}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NdChar \leq 8.589174106328527 \cdot 10^{+63}:\\ \;\;\;\;t_0 + t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 6
Error25.3
Cost15076
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ t_2 := \frac{NaChar}{t_1} + \frac{NdChar}{1 + e^{\frac{Vef + mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq -1.695581832354788 \cdot 10^{-161}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_0\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_4 + t_0\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.0738725716912886 \cdot 10^{-277}:\\ \;\;\;\;t_4 + \frac{NdChar}{t_1}\\ \mathbf{elif}\;NdChar \leq 9.462025917710663 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 1.0416054743266307 \cdot 10^{+36}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 4.5236497665484696 \cdot 10^{+91}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 7
Error22.7
Cost15072
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_1\\ \mathbf{if}\;EAccept \leq -2.683043614015885 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.86790103237878 \cdot 10^{-257}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;EAccept \leq 2.2077413758012451 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.0629301401887853 \cdot 10^{-27}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 8.825587958042058 \cdot 10^{-8}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 - \frac{mu}{KbT}}\\ \mathbf{elif}\;EAccept \leq 3.627886011943343 \cdot 10^{+54}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{Vef + mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.3792925743667744 \cdot 10^{+81}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.8270705006157258 \cdot 10^{+174}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + t_1\\ \end{array} \]
Alternative 8
Error17.6
Cost15068
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;NaChar \leq -4.293955462390579 \cdot 10^{-41}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq -5.5175431963574845 \cdot 10^{-238}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.6945388474277536 \cdot 10^{-289}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 1.1419166076908944 \cdot 10^{-109}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.445328492899099 \cdot 10^{-32}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 0.0015491807569689583:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 8.202470963834067 \cdot 10^{+192}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \end{array} \]
Alternative 9
Error26.8
Cost14816
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.2458077283226301 \cdot 10^{-158}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 2.49265942451428 \cdot 10^{-155}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.2533498958613942 \cdot 10^{-31}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 8.589174106328527 \cdot 10^{+63}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 10
Error24.1
Cost14816
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2.683043614015885 \cdot 10^{-269}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.86790103237878 \cdot 10^{-257}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;EAccept \leq 2.2077413758012451 \cdot 10^{-72}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.0629301401887853 \cdot 10^{-27}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 8.825587958042058 \cdot 10^{-8}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 - \frac{mu}{KbT}}\\ \mathbf{elif}\;EAccept \leq 3.627886011943343 \cdot 10^{+54}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{Vef + mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.3792925743667744 \cdot 10^{+81}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 9.288062585479992 \cdot 10^{+211}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 11
Error17.2
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;EAccept \leq 9.705740637835365 \cdot 10^{-76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.0629301401887853 \cdot 10^{-27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.4616050962619248 \cdot 10^{-7}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.681 \cdot 10^{+14}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.211769645830668 \cdot 10^{+109}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 12
Error21.6
Cost14672
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2.952002137325305 \cdot 10^{-138}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.86790103237878 \cdot 10^{-257}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 9.705740637835365 \cdot 10^{-76}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{\left(Vef + mu\right) - Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.211769645830668 \cdot 10^{+109}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 13
Error26.9
Cost14552
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;NdChar \leq -1.9206767920523317 \cdot 10^{-97}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.2458077283226301 \cdot 10^{-158}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -9.75645075352816 \cdot 10^{-180}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq -1.297773631781487 \cdot 10^{-264}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.250344316119235 \cdot 10^{-299}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 2.49265942451428 \cdot 10^{-155}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 3.198561214900648 \cdot 10^{-24}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 4.69567139640655 \cdot 10^{+46}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 14
Error25.1
Cost14288
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;KbT \leq -5.554024667304604 \cdot 10^{+170}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq -4.904774510473498 \cdot 10^{-188}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 3.6602672826961954 \cdot 10^{-191}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.185842998835673 \cdot 10^{+110}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 15
Error22.7
Cost7876
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -5.554024667304604 \cdot 10^{+170}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 4.0614686116859043 \cdot 10^{+93}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \end{array} \]
Alternative 16
Error22.6
Cost7752
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -5.554024667304604 \cdot 10^{+170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.0614686116859043 \cdot 10^{+93}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 17
Error24.4
Cost7496
\[\begin{array}{l} \mathbf{if}\;KbT \leq -5.554024667304604 \cdot 10^{+170}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 4.0614686116859043 \cdot 10^{+93}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 18
Error24.2
Cost7496
\[\begin{array}{l} \mathbf{if}\;KbT \leq -5.554024667304604 \cdot 10^{+170}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 4.0614686116859043 \cdot 10^{+93}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + mu}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 19
Error24.2
Cost7496
\[\begin{array}{l} \mathbf{if}\;KbT \leq -5.554024667304604 \cdot 10^{+170}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 4.0614686116859043 \cdot 10^{+93}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + mu}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 20
Error39.1
Cost7376
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.6495158853266527 \cdot 10^{+174}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2} + NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq -7.038298426235859 \cdot 10^{-71}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq -4.904774510473498 \cdot 10^{-188}:\\ \;\;\;\;\frac{NaChar}{\frac{Ev}{KbT} - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 4.356915274126986 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \end{array} \]
Alternative 21
Error36.9
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -6.494474747915183 \cdot 10^{+20}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 4.356915274126986 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 22
Error36.9
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.494474747915183 \cdot 10^{+20}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 4.356915274126986 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 23
Error36.8
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.494474747915183 \cdot 10^{+20}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 4.356915274126986 \cdot 10^{+20}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 24
Error44.0
Cost840
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -1.36 \cdot 10^{-9}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.794383598034854 \cdot 10^{+22}:\\ \;\;\;\;\left(1 + KbT \cdot \frac{NaChar}{EAccept}\right) + -1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 25
Error46.0
Cost712
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -7.038298426235859 \cdot 10^{-71}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.794383598034854 \cdot 10^{+22}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 26
Error46.2
Cost584
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -1.5446347024232268 \cdot 10^{-93}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 2.794383598034854 \cdot 10^{+22}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{EAccept}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 27
Error59.6
Cost320
\[\frac{KbT}{\frac{EAccept}{NaChar}} \]
Alternative 28
Error59.3
Cost320
\[\frac{KbT \cdot NaChar}{EAccept} \]

Error

Reproduce

herbie shell --seed 2022300 
(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))))))