Average Error: 0.0 → 0.0
Time: 53.1s
Precision: binary64
Cost: 14528
\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} \]
(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 (/ (+ mu (- EDonor (- Ec Vef))) 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 + (EDonor - (Ec - Vef))) / 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 + (edonor - (ec - vef))) / 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 + (EDonor - (Ec - Vef))) / 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 + (EDonor - (Ec - Vef))) / 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(EDonor - Float64(Ec - Vef))) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Vef + Float64(Ev + Float64(EAccept - mu))) / KbT)))))
end
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((mu + (EDonor - (Ec - Vef))) / 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[(EDonor - N[(Ec - Vef), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(Vef + N[(Ev + 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{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}}

Error

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Your Program's Arguments

Results

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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

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

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

Alternatives

Alternative 1
Error25.1
Cost15144
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := t_3 + t_1\\ t_5 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ \mathbf{if}\;mu \leq -3 \cdot 10^{+120}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -1.7 \cdot 10^{+40}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq -1.6 \cdot 10^{+27}:\\ \;\;\;\;t_5 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;mu \leq -2.4 \cdot 10^{-42}:\\ \;\;\;\;t_5 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;mu \leq -7.2 \cdot 10^{-222}:\\ \;\;\;\;t_0 + t_2\\ \mathbf{elif}\;mu \leq 4.2 \cdot 10^{-235}:\\ \;\;\;\;t_5 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 9 \cdot 10^{-41}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_2\\ \mathbf{elif}\;mu \leq 2.6 \cdot 10^{+66}:\\ \;\;\;\;t_5 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{+177}:\\ \;\;\;\;t_0 + t_3\\ \mathbf{elif}\;mu \leq 2.8 \cdot 10^{+184}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 2
Error30.2
Cost15080
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ t_4 := t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq 10^{-300}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.65 \cdot 10^{-135}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 180000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 4.5 \cdot 10^{+41}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 2.3 \cdot 10^{+105}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 2.6 \cdot 10^{+146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 1.5 \cdot 10^{+200}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 1.6 \cdot 10^{+217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.45 \cdot 10^{+232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 2.15 \cdot 10^{+250}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 3
Error31.3
Cost15080
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_4 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_2\\ t_6 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_7 := t_6 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_8 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;mu \leq -1.1 \cdot 10^{+224}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq -4.5 \cdot 10^{+166}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -1.15 \cdot 10^{+116}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq -5 \cdot 10^{+56}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;mu \leq -2.1 \cdot 10^{+51}:\\ \;\;\;\;t_1 + NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq -1.15 \cdot 10^{+27}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;mu \leq -1.9 \cdot 10^{-42}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;mu \leq -1.05 \cdot 10^{-224}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;mu \leq 1.8 \cdot 10^{-236}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 1.85 \cdot 10^{-35}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;mu \leq 1.75 \cdot 10^{+60}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq 2.95 \cdot 10^{+114}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;mu \leq 2.15 \cdot 10^{+182}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;mu \leq 4.2 \cdot 10^{+199}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{KbT}{Ev}} \cdot -0.25\\ \mathbf{elif}\;mu \leq 7 \cdot 10^{+237}:\\ \;\;\;\;t_6 + NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq 5.6 \cdot 10^{+262}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{Vef \cdot NaChar}{KbT}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 4
Error31.2
Cost15080
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{if}\;EAccept \leq -3.1 \cdot 10^{-174}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_2\\ \mathbf{elif}\;EAccept \leq 4.8 \cdot 10^{-258}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 8.2 \cdot 10^{-136}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_1\\ \mathbf{elif}\;EAccept \leq 70000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.7 \cdot 10^{+41}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 8.4 \cdot 10^{+104}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 2.8 \cdot 10^{+146}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 2.1 \cdot 10^{+204}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;EAccept \leq 2 \cdot 10^{+234}:\\ \;\;\;\;t_2 + t_3\\ \mathbf{elif}\;EAccept \leq 1.02 \cdot 10^{+253}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_3 + t_1\\ \end{array} \]
Alternative 5
Error31.4
Cost15080
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_4 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;EAccept \leq -2 \cdot 10^{-168}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_1\\ \mathbf{elif}\;EAccept \leq 8 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 5.8 \cdot 10^{-137}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 160000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 2.4 \cdot 10^{+42}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 3.4 \cdot 10^{+104}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 3.3 \cdot 10^{+146}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 9.5 \cdot 10^{+203}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;EAccept \leq 1.1 \cdot 10^{+229}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;EAccept \leq 2.35 \cdot 10^{+248}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \end{array} \]
Alternative 6
Error31.3
Cost15080
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_4 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{if}\;EAccept \leq -1.36 \cdot 10^{-173}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_2\\ \mathbf{elif}\;EAccept \leq 6.8 \cdot 10^{-258}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 5.8 \cdot 10^{-137}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.8 \cdot 10^{+26}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 3.5 \cdot 10^{+41}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 9.5 \cdot 10^{+103}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 1.8 \cdot 10^{+146}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 1.35 \cdot 10^{+204}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;EAccept \leq 7.5 \cdot 10^{+227}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;EAccept \leq 1.05 \cdot 10^{+253}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_1 + t_3\\ \end{array} \]
Alternative 7
Error24.5
Cost15072
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{if}\;NaChar \leq -2.7 \cdot 10^{+104}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq -5.3 \cdot 10^{-76}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -2.7 \cdot 10^{-150}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq -1.52 \cdot 10^{-173}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 2.15 \cdot 10^{-280}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 5.8 \cdot 10^{-114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 6.8 \cdot 10^{+19}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq 8.6 \cdot 10^{+61}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 8
Error19.4
Cost15068
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;NaChar \leq -1.45 \cdot 10^{-78}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.4 \cdot 10^{-119}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq -1.32 \cdot 10^{-183}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 6.2 \cdot 10^{-280}:\\ \;\;\;\;t_2 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 8.5 \cdot 10^{-112}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.6 \cdot 10^{-32}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq 6.4 \cdot 10^{+91}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Error17.6
Cost15068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;NaChar \leq -3.8 \cdot 10^{+96}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq -2.8 \cdot 10^{-118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -7 \cdot 10^{-182}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 1.9 \cdot 10^{-225}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.3 \cdot 10^{-111}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 1.06 \cdot 10^{-32}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq 3.3 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \end{array} \]
Alternative 10
Error30.2
Cost14948
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq 4.3 \cdot 10^{-276}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 2 \cdot 10^{-136}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_2\\ \mathbf{elif}\;EAccept \leq 38000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.35 \cdot 10^{+41}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 7.8 \cdot 10^{+104}:\\ \;\;\;\;t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 1.9 \cdot 10^{+146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EAccept \leq 1.18 \cdot 10^{+204}:\\ \;\;\;\;t_3 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;EAccept \leq 2.7 \cdot 10^{+230}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_1\\ \mathbf{elif}\;EAccept \leq 1.02 \cdot 10^{+253}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + t_2\\ \end{array} \]
Alternative 11
Error17.8
Cost14936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;EAccept \leq 1.42 \cdot 10^{-136}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 190000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.7 \cdot 10^{+40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 8.5 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.45 \cdot 10^{+117}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 3.7 \cdot 10^{+146}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 12
Error17.5
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.7 \cdot 10^{+127}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.8 \cdot 10^{-10}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -7.6 \cdot 10^{-48}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -5.8 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -7.6 \cdot 10^{-130}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -8 \cdot 10^{-282}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Error24.9
Cost14880
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_4 := t_1 + t_3\\ t_5 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;mu \leq -3.4 \cdot 10^{+115}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -4.5 \cdot 10^{-40}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;mu \leq -5.5 \cdot 10^{-224}:\\ \;\;\;\;t_0 + t_5\\ \mathbf{elif}\;mu \leq 1.55 \cdot 10^{-234}:\\ \;\;\;\;t_2 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{-46}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + t_5\\ \mathbf{elif}\;mu \leq 2.5 \cdot 10^{+66}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \mathbf{elif}\;mu \leq 1.6 \cdot 10^{+178}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;mu \leq 3.8 \cdot 10^{+187}:\\ \;\;\;\;t_5 + t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 14
Error18.6
Cost14808
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -4.9 \cdot 10^{+176}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.15 \cdot 10^{-208}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 5.1 \cdot 10^{-294}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Vef \leq 5.1 \cdot 10^{-137}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 60:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 3.5 \cdot 10^{+16}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 15
Error25.8
Cost8664
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{if}\;NaChar \leq -1.5 \cdot 10^{+95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.7 \cdot 10^{+74}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NaChar \leq -3.2 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.02 \cdot 10^{-217}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.95 \cdot 10^{-230}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 1.85 \cdot 10^{+39}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 16
Error24.5
Cost8532
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{if}\;NaChar \leq -3.3 \cdot 10^{+114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -3.5 \cdot 10^{+73}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -4.7 \cdot 10^{-11}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -8 \cdot 10^{-260}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{elif}\;NaChar \leq 1.26 \cdot 10^{+40}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 17
Error39.3
Cost8480
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Ec \leq -6.8 \cdot 10^{+183}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -2.5 \cdot 10^{+46}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq -9 \cdot 10^{-278}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 8.6 \cdot 10^{-232}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_0\\ \mathbf{elif}\;Ec \leq 5.4 \cdot 10^{-195}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 1.5 \cdot 10^{-157}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 4.5 \cdot 10^{-91}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ec \leq 2.8 \cdot 10^{+213}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 18
Error26.6
Cost8272
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \mathbf{if}\;NdChar \leq -1.15 \cdot 10^{-72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 4 \cdot 10^{-92}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.95 \cdot 10^{-69}:\\ \;\;\;\;t_1 + -0.25 \cdot \frac{Vef \cdot NaChar}{KbT}\\ \mathbf{elif}\;NdChar \leq 2.5 \cdot 10^{-9}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 19
Error39.9
Cost8224
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ t_2 := \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_2\\ \mathbf{if}\;Ec \leq -6.5 \cdot 10^{+183}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq -4.6 \cdot 10^{+49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -3 \cdot 10^{-278}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 3.4 \cdot 10^{-233}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + t_2\\ \mathbf{elif}\;Ec \leq 1.12 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ec \leq 1.4 \cdot 10^{-157}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 7.6 \cdot 10^{-93}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ec \leq 1.2 \cdot 10^{+211}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 20
Error40.2
Cost8092
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;Ec \leq -1.15 \cdot 10^{+184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -5.6 \cdot 10^{-59}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq 2.3 \cdot 10^{-266}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Ec \leq 2.85 \cdot 10^{-201}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;Ec \leq 1.4 \cdot 10^{-157}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq 2.9 \cdot 10^{-98}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ec \leq 1.05 \cdot 10^{+211}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Error34.5
Cost8016
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;Ec \leq -1.15 \cdot 10^{+184}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -2 \cdot 10^{-123}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -1.2 \cdot 10^{-284}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + t_0\\ \mathbf{elif}\;Ec \leq 9.4 \cdot 10^{+213}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 22
Error29.3
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar \cdot 0.5\\ t_2 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -9 \cdot 10^{+114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.8 \cdot 10^{-141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 2.95 \cdot 10^{-210}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{EAccept}{NaChar}}\\ \mathbf{elif}\;NaChar \leq 2.45 \cdot 10^{+39}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 23
Error25.7
Cost8008
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -5.8 \cdot 10^{+116}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 3.2 \cdot 10^{+47}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 24
Error40.3
Cost7960
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ t_1 := \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;Ec \leq -7 \cdot 10^{+183}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -1.92 \cdot 10^{-59}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq -8.5 \cdot 10^{-285}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;Ec \leq 1.6 \cdot 10^{-157}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ec \leq 1.45 \cdot 10^{-96}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ec \leq 1.05 \cdot 10^{+211}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 25
Error28.4
Cost7752
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -8 \cdot 10^{+113}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 3.1 \cdot 10^{+39}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor - \left(Ec - Vef\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 26
Error39.0
Cost7632
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ t_1 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;NaChar \leq -1.25 \cdot 10^{-27}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.7 \cdot 10^{-125}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{t_1}\\ \mathbf{elif}\;NaChar \leq 2.4 \cdot 10^{+32}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{elif}\;NaChar \leq 1.2 \cdot 10^{+62}:\\ \;\;\;\;\frac{NaChar}{t_1} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 27
Error42.4
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;KbT \leq -4.5 \cdot 10^{-177}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 5.6 \cdot 10^{-235}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2} + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{Vef + \left(EDonor - Ec\right)}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 28
Error42.5
Cost7368
\[\begin{array}{l} \mathbf{if}\;Ev \leq -4.3 \cdot 10^{-86}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;Ev \leq 800000000:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{\frac{EAccept}{KbT} + 2} + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{Vef + \left(EDonor - Ec\right)}{KbT}\right)}\\ \end{array} \]
Alternative 29
Error39.2
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -3.4 \cdot 10^{+94}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 4 \cdot 10^{-103}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 30
Error39.0
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -2 \cdot 10^{-27}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 2.55 \cdot 10^{+42}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 31
Error46.8
Cost1736
\[\begin{array}{l} t_0 := \frac{NaChar}{\frac{EAccept}{KbT} + 2} + \frac{NdChar}{\frac{mu}{KbT} + \left(2 + \frac{Vef + \left(EDonor - Ec\right)}{KbT}\right)}\\ \mathbf{if}\;EDonor \leq -1.8 \cdot 10^{+69}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.95 \cdot 10^{+236}:\\ \;\;\;\;NaChar \cdot 0.5 + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 32
Error46.6
Cost448
\[NaChar \cdot 0.5 + \frac{NdChar}{2} \]

Error

Reproduce

herbie shell --seed 2022325 
(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))))))