Average Error: 0.0 → 0.0
Time: 58.8s
Precision: binary64
Cost: 27392
\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
\[\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \sqrt[3]{{\left(e^{\frac{Vef + \left(\left(EAccept - mu\right) + Ev\right)}{KbT}}\right)}^{3}}} \]
(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 (cbrt (pow (exp (/ (+ Vef (+ (- EAccept mu) Ev)) KbT)) 3.0))))))
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(((Vef + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + cbrt(pow(exp(((Vef + ((EAccept - mu) + Ev)) / KbT)), 3.0))));
}
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.cbrt(Math.pow(Math.exp(((Vef + ((EAccept - mu) + Ev)) / KbT)), 3.0))));
}
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(Vef + Float64(EDonor + Float64(mu - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + cbrt((exp(Float64(Float64(Vef + Float64(Float64(EAccept - mu) + Ev)) / KbT)) ^ 3.0)))))
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[(Vef + N[(EDonor + N[(mu - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Power[N[Power[N[Exp[N[(N[(Vef + N[(N[(EAccept - mu), $MachinePrecision] + Ev), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision], 3.0], $MachinePrecision], 1/3], $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 + \sqrt[3]{{\left(e^{\frac{Vef + \left(\left(EAccept - mu\right) + Ev\right)}{KbT}}\right)}^{3}}}

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. Applied egg-rr0.0

    \[\leadsto \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \color{blue}{\sqrt[3]{{\left(e^{\frac{Vef + \left(\left(EAccept - mu\right) + Ev\right)}{KbT}}\right)}^{3}}}} \]
  4. Final simplification0.0

    \[\leadsto \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + \sqrt[3]{{\left(e^{\frac{Vef + \left(\left(EAccept - mu\right) + Ev\right)}{KbT}}\right)}^{3}}} \]

Alternatives

Alternative 1
Error25.4
Cost15608
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_5 := t_3 + NaChar\\ \mathbf{if}\;EAccept \leq -6.238503979652135 \cdot 10^{-208}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq -8.467316380792739 \cdot 10^{-302}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 9.183696835436771 \cdot 10^{-186}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 1.3326135588515115 \cdot 10^{-134}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 3.8495808832849725 \cdot 10^{-109}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq 1.1445984966027219 \cdot 10^{-88}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 4.927802505243812 \cdot 10^{-34}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 5.831687207815226 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 3.2997987857458036 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 4.974394820191132 \cdot 10^{+124}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 8.782914281026309 \cdot 10^{+160}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 6.031735712508639 \cdot 10^{+172}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.7227357295018784 \cdot 10^{+252}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 8.511796816682776 \cdot 10^{+274}:\\ \;\;\;\;t_3 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 2
Error25.4
Cost15608
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_5 := t_4 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_6 := t_4 + NaChar\\ \mathbf{if}\;EAccept \leq -6.238503979652135 \cdot 10^{-208}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq -8.467316380792739 \cdot 10^{-302}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 9.183696835436771 \cdot 10^{-186}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 1.3326135588515115 \cdot 10^{-134}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 3.8495808832849725 \cdot 10^{-109}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq 1.1445984966027219 \cdot 10^{-88}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 4.927802505243812 \cdot 10^{-34}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 5.831687207815226 \cdot 10^{-21}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 3.2997987857458036 \cdot 10^{+85}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 4.974394820191132 \cdot 10^{+124}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 5.63255393560024 \cdot 10^{+142}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EAccept \leq 6.031735712508639 \cdot 10^{+172}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;EAccept \leq 1.7227357295018784 \cdot 10^{+252}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;EAccept \leq 8.511796816682776 \cdot 10^{+274}:\\ \;\;\;\;t_4 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Error25.4
Cost15540
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + t_0\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_5 := t_3 + NaChar\\ \mathbf{if}\;EAccept \leq -6.238503979652135 \cdot 10^{-208}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq -8.467316380792739 \cdot 10^{-302}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 9.183696835436771 \cdot 10^{-186}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 1.3326135588515115 \cdot 10^{-134}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 3.8495808832849725 \cdot 10^{-109}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq 1.1445984966027219 \cdot 10^{-88}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 4.927802505243812 \cdot 10^{-34}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 5.831687207815226 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 3.2997987857458036 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EAccept \leq 4.974394820191132 \cdot 10^{+124}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 5.63255393560024 \cdot 10^{+142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 6.031735712508639 \cdot 10^{+172}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;EAccept \leq 3.465961526062435 \cdot 10^{+223}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \end{array} \]
Alternative 4
Error21.0
Cost15464
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{if}\;Ev \leq -7.1777931058428535 \cdot 10^{+202}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -2.501075753979667 \cdot 10^{+54}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -3.771089044229518 \cdot 10^{-18}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev - mu\right)}{KbT}}}\\ \mathbf{elif}\;Ev \leq -6.845657674351244 \cdot 10^{-68}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -1.568632729768131 \cdot 10^{-111}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq 1.0313381458840938 \cdot 10^{-299}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq 7.838260337210274 \cdot 10^{-168}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \frac{Ev}{KbT}}\\ \mathbf{elif}\;Ev \leq 6.588894246720799 \cdot 10^{-121}:\\ \;\;\;\;t_1 + NaChar\\ \mathbf{elif}\;Ev \leq 4.393072847750124 \cdot 10^{-14}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;Ev \leq 858575191036714.9:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 5
Error17.6
Cost15264
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_3 := t_1 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{if}\;Ev \leq -6.23137633542292 \cdot 10^{+232}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -6.4525738332931325 \cdot 10^{+119}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Ev \leq -2.501075753979667 \cdot 10^{+54}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -793.4812027576179:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ev \leq -2.075261405772747 \cdot 10^{-114}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -8.025758350079588 \cdot 10^{-214}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq 1.0313381458840938 \cdot 10^{-299}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Ev \leq 7.838260337210274 \cdot 10^{-168}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Error17.9
Cost15200
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Vef + \left(Ev - mu\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{if}\;Vef \leq -1.8938187576740388 \cdot 10^{+229}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -4.454971463721745 \cdot 10^{-97}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.0200420614653385 \cdot 10^{-179}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq -2.174409400586214 \cdot 10^{-255}:\\ \;\;\;\;t_1 + NaChar\\ \mathbf{elif}\;Vef \leq 2.22781809858154 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.141785773743645 \cdot 10^{-250}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq 2.271199367451156 \cdot 10^{-145}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 9.180415550303564 \cdot 10^{+50}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 7
Error15.3
Cost15200
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_4 := t_2 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -1.4604002656100237 \cdot 10^{+165}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;mu \leq -5.260664826834658 \cdot 10^{-176}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;mu \leq -7.479067208105342 \cdot 10^{-257}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq 2.1425914745879924 \cdot 10^{-107}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 3.122708585531469 \cdot 10^{-34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 2.7915065662432406 \cdot 10^{-20}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;mu \leq 3.183553078055614 \cdot 10^{+50}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq 4.3146065572529293 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 8
Error20.2
Cost15072
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + NaChar\\ \mathbf{if}\;NdChar \leq -2.2385059418225752 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -3.004882822119086 \cdot 10^{+29}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -1.1811319196439433 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -6.048218689443405 \cdot 10^{-115}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 3.3599301769794963 \cdot 10^{-287}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 4.378752359069383 \cdot 10^{-109}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.2466740954817137 \cdot 10^{-40}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 6.4078221120073826 \cdot 10^{+97}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 2.0193834400873933 \cdot 10^{+149}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 9
Error19.0
Cost15068
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;Ev \leq -6.23137633542292 \cdot 10^{+232}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ev \leq -6.4525738332931325 \cdot 10^{+119}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;Ev \leq -2.501075753979667 \cdot 10^{+54}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -6.274690960179633 \cdot 10^{-46}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;Ev \leq -8.12037232690638 \cdot 10^{-111}:\\ \;\;\;\;t_2 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;Ev \leq -2.430214266969945 \cdot 10^{-227}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 2.6561353885659285 \cdot 10^{-282}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 10
Error15.6
Cost14936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_3 := t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{if}\;mu \leq -1.4604002656100237 \cdot 10^{+165}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;mu \leq -5.260664826834658 \cdot 10^{-176}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq -7.479067208105342 \cdot 10^{-257}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;mu \leq 3.6883454725310625 \cdot 10^{-296}:\\ \;\;\;\;t_0 + NaChar\\ \mathbf{elif}\;mu \leq 5.260331853928649 \cdot 10^{-163}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;mu \leq 4.3146065572529293 \cdot 10^{+102}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 11
Error0.0
Cost14528
\[\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} \]
Alternative 12
Error20.8
Cost8784
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;NdChar \leq -2.2385059418225752 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -3.004882822119086 \cdot 10^{+29}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq -3.522544405170022 \cdot 10^{-22}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.600191876313476 \cdot 10^{-55}:\\ \;\;\;\;t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 4.378752359069383 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 13
Error21.2
Cost8536
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;NdChar \leq -2.2385059418225752 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.600191876313476 \cdot 10^{-55}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 4.378752359069383 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 1.2466740954817137 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq 1.1809748189206533 \cdot 10^{-7}:\\ \;\;\;\;NdChar \cdot 0.5 + NaChar \cdot \frac{1}{1 + e^{\frac{Ev + \left(\left(Vef + EAccept\right) - mu\right)}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 1.0936587033686026 \cdot 10^{+21}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 14
Error20.9
Cost8140
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;NdChar \leq -2.2385059418225752 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NdChar \leq -1.600191876313476 \cdot 10^{-55}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 4.378752359069383 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 15
Error22.3
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -4.735962567689835 \cdot 10^{+175}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 6.266067289269539 \cdot 10^{-256}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.644814677538975 \cdot 10^{-168}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;KbT \leq 8.731430019467321 \cdot 10^{+182}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \end{array} \]
Alternative 16
Error22.0
Cost8016
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + NaChar\\ \mathbf{if}\;KbT \leq -4.735962567689835 \cdot 10^{+175}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.5507147299486733 \cdot 10^{-231}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;KbT \leq 1.644814677538975 \cdot 10^{-168}:\\ \;\;\;\;t_0 - \frac{KbT \cdot NaChar}{mu}\\ \mathbf{elif}\;KbT \leq 8.731430019467321 \cdot 10^{+182}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \end{array} \]
Alternative 17
Error20.4
Cost8008
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + NaChar\\ \mathbf{if}\;NdChar \leq -3.522544405170022 \cdot 10^{-22}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 4.378752359069383 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 18
Error21.4
Cost7752
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + NaChar\\ \mathbf{if}\;NdChar \leq -2.1072308232338108 \cdot 10^{-114}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 4.378752359069383 \cdot 10^{-109}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 19
Error21.3
Cost7752
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;KbT \leq -4.735962567689835 \cdot 10^{+175}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 8.731430019467321 \cdot 10^{+182}:\\ \;\;\;\;t_0 + NaChar\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \end{array} \]
Alternative 20
Error31.6
Cost7624
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.524352221287088 \cdot 10^{+115}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 6.6918106356550495 \cdot 10^{+62}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \end{array} \]
Alternative 21
Error22.3
Cost7624
\[\begin{array}{l} \mathbf{if}\;KbT \leq -4.735962567689835 \cdot 10^{+175}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 1.432717154164785 \cdot 10^{+213}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + NaChar\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 22
Error22.0
Cost7624
\[\begin{array}{l} \mathbf{if}\;KbT \leq -4.735962567689835 \cdot 10^{+175}:\\ \;\;\;\;NdChar \cdot 0.5 + \frac{NaChar}{1 + e^{\frac{Vef + \left(EAccept - mu\right)}{KbT}}}\\ \mathbf{elif}\;KbT \leq 1.432717154164785 \cdot 10^{+213}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + NaChar\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 23
Error31.8
Cost7368
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;KbT \leq -6.524352221287088 \cdot 10^{+115}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.6918106356550495 \cdot 10^{+62}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 24
Error31.8
Cost7368
\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.524352221287088 \cdot 10^{+115}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;KbT \leq 2.2859967886410914 \cdot 10^{+33}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + NdChar \cdot 0.5\\ \end{array} \]
Alternative 25
Error31.5
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -6.524352221287088 \cdot 10^{+115}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.6918106356550495 \cdot 10^{+62}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 26
Error31.9
Cost7368
\[\begin{array}{l} \mathbf{if}\;KbT \leq -6.524352221287088 \cdot 10^{+115}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 4.94989544202542 \cdot 10^{+30}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 27
Error31.9
Cost7304
\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -6.524352221287088 \cdot 10^{+115}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 8.731430019467321 \cdot 10^{+182}:\\ \;\;\;\;NaChar + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 28
Error38.1
Cost1736
\[\begin{array}{l} t_0 := NdChar \cdot 0.5 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;KbT \leq -7.937217956490417 \cdot 10^{+170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 8.731430019467321 \cdot 10^{+182}:\\ \;\;\;\;NaChar + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 29
Error38.5
Cost968
\[\begin{array}{l} \mathbf{if}\;KbT \leq -7.937217956490417 \cdot 10^{+170}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 6.6918106356550495 \cdot 10^{+62}:\\ \;\;\;\;NaChar + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{\frac{mu}{KbT} + 2} + \frac{NaChar}{2}\\ \end{array} \]
Alternative 30
Error38.4
Cost712
\[\begin{array}{l} t_0 := \frac{NaChar}{2} + \frac{NdChar}{2}\\ \mathbf{if}\;KbT \leq -7.937217956490417 \cdot 10^{+170}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 6.6918106356550495 \cdot 10^{+62}:\\ \;\;\;\;NaChar + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 31
Error40.5
Cost320
\[NaChar + \frac{NdChar}{2} \]
Alternative 32
Error52.1
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce

herbie shell --seed 2022311 
(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))))))