Average Error: 0.0 → 0.0
Time: 1.4min
Precision: binary64
Cost: 27392
\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
\[\frac{NdChar}{1 + {\left(\sqrt[3]{e^{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}}\right)}^{3}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} \]
(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 (pow (cbrt (exp (/ (+ (+ mu EDonor) (- Vef Ec)) KbT))) 3.0)))
  (/ 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 + pow(cbrt(exp((((mu + EDonor) + (Vef - Ec)) / KbT))), 3.0))) + (NaChar / (1.0 + 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((-(((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.pow(Math.cbrt(Math.exp((((mu + EDonor) + (Vef - Ec)) / KbT))), 3.0))) + (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 + (cbrt(exp(Float64(Float64(Float64(mu + EDonor) + Float64(Vef - Ec)) / KbT))) ^ 3.0))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Ev + Float64(Vef + Float64(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[Power[N[Power[N[Exp[N[(N[(N[(mu + EDonor), $MachinePrecision] + N[(Vef - Ec), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision], 1/3], $MachinePrecision], 3.0], $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 + {\left(\sqrt[3]{e^{\frac{\left(mu + EDonor\right) + \left(Vef - Ec\right)}{KbT}}}\right)}^{3}} + \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. Applied egg-rr0.0

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

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

Alternatives

Alternative 1
Error25.3
Cost15996
\[\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}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ t_4 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_5 := t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.890023984651078 \cdot 10^{+155}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq -2.1274746615380773 \cdot 10^{+39}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -2.9074607729456557 \cdot 10^{-69}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq -3.165083651920948 \cdot 10^{-95}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq -9.988291469122888 \cdot 10^{-101}:\\ \;\;\;\;t_2 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq -3.869830598619131 \cdot 10^{-245}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 4.0324581551091287 \cdot 10^{-259}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;EDonor \leq 4.851632610902089 \cdot 10^{-211}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.5617009010892216 \cdot 10^{-177}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EDonor \leq 1.997105211764091 \cdot 10^{-121}:\\ \;\;\;\;t_1 + KbT \cdot \frac{NaChar}{Vef}\\ \mathbf{elif}\;EDonor \leq 7.964298283376048 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;EDonor \leq 1.3101849760999722 \cdot 10^{-81}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;EDonor \leq 4.725432941008287 \cdot 10^{-52}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \mathbf{elif}\;EDonor \leq 1.853294703364814 \cdot 10^{+30}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EDonor \leq 7.802221554878975 \cdot 10^{+74}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]
Alternative 2
Error29.9
Cost15804
\[\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 - \frac{mu}{KbT}}\\ t_2 := t_0 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_5 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_6 := t_5 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ t_7 := t_5 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{if}\;Ec \leq -12210.810156579648:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq -1.2317850341576377 \cdot 10^{-60}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -1.8943967856107675 \cdot 10^{-103}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -2.648383465732453 \cdot 10^{-112}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq -1.1232807515518082 \cdot 10^{-138}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq -4.93553833501451 \cdot 10^{-232}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Ec \leq -1.929169329540012 \cdot 10^{-241}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ec \leq -3.695160132181497 \cdot 10^{-273}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Ec \leq 1.3889091231647802 \cdot 10^{-272}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;Ec \leq 7.853518254396093 \cdot 10^{-155}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq 9.691752401614538 \cdot 10^{-105}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Ec \leq 1.6439667452896772 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ec \leq 4.11267223178412 \cdot 10^{-18}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;Ec \leq 2.881890836716505 \cdot 10^{+39}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;Ec \leq 6.397573564871119 \cdot 10^{+150}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ec \leq 6.678700592511654 \cdot 10^{+221}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Ev}\right) + -1\right)\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]
Alternative 3
Error20.2
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \mathbf{if}\;NdChar \leq -3.0356877553423583 \cdot 10^{+149}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq -1.951509352762754 \cdot 10^{+85}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq -7.601971870611002 \cdot 10^{+37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq -1.8417489982276593 \cdot 10^{-7}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;NdChar \leq 9.382790847501606 \cdot 10^{-146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 6.997316802512181 \cdot 10^{-122}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 4
Error0.0
Cost14528
\[\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} \]
Alternative 5
Error14.3
Cost14408
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -7.605317708162041 \cdot 10^{+158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 3.7473958722761913 \cdot 10^{+112}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 6
Error28.4
Cost10224
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \left(\left(1 + KbT \cdot \frac{NaChar}{Ev}\right) + -1\right)\\ t_3 := t_0 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;KbT \leq -5.146203474135064 \cdot 10^{+138}:\\ \;\;\;\;t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -4.4175799007490615 \cdot 10^{+38}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq -1.2416402213099944 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq -4.758687111338544 \cdot 10^{-157}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq -6.432347248460966 \cdot 10^{-226}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 6.283291038427049 \cdot 10^{-298}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;KbT \leq 1.0921752408992091 \cdot 10^{-190}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 1.7005833323323298 \cdot 10^{-156}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \mathbf{elif}\;KbT \leq 5.120528514946695 \cdot 10^{-133}:\\ \;\;\;\;t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;KbT \leq 1.0212055998903384 \cdot 10^{-64}:\\ \;\;\;\;t_1 + \frac{KbT \cdot NaChar}{Vef}\\ \mathbf{elif}\;KbT \leq 1.3190411628967029 \cdot 10^{+95}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;KbT \leq 1.4965754508471765 \cdot 10^{+147}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + \left(\left(\frac{Ev}{KbT} + \left(\frac{EAccept}{KbT} + \left(1 + \frac{Vef}{KbT}\right)\right)\right) - \frac{mu}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \end{array} \]
Alternative 7
Error31.4
Cost9716
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \left(\left(1 + KbT \cdot \frac{NaChar}{Ev}\right) + -1\right)\\ t_4 := t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_5 := t_2 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;Ev \leq -1.7694339279703797 \cdot 10^{+251}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -9.556510281422477 \cdot 10^{+184}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -3.569288953195363 \cdot 10^{+132}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq -1.4734171659156792 \cdot 10^{+91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.9769257467300916 \cdot 10^{+45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.5997407585684075 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1396863973229611:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -297.02307857692676:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq -9.905116385337337 \cdot 10^{-34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -6.369402406437585 \cdot 10^{-67}:\\ \;\;\;\;t_2 + NaChar \cdot 0.5\\ \mathbf{elif}\;Ev \leq 1.3725810866141994 \cdot 10^{-271}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq 8.632056857006416 \cdot 10^{-64}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq 3.9401223715900073 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \end{array} \]
Alternative 8
Error34.0
Cost9460
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \left(\left(1 + KbT \cdot \frac{NaChar}{Ev}\right) + -1\right)\\ t_3 := t_1 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ t_4 := t_1 + NaChar \cdot 0.5\\ \mathbf{if}\;Ev \leq -1.7694339279703797 \cdot 10^{+251}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -9.556510281422477 \cdot 10^{+184}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -3.569288953195363 \cdot 10^{+132}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.4734171659156792 \cdot 10^{+91}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -4.713013158996758 \cdot 10^{+68}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -1.443165016483904 \cdot 10^{+43}:\\ \;\;\;\;t_1 + \frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{elif}\;Ev \leq -1.5997407585684075 \cdot 10^{+28}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -297.02307857692676:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -9.905116385337337 \cdot 10^{-34}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -6.369402406437585 \cdot 10^{-67}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq 1.3725810866141994 \cdot 10^{-271}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq 8.632056857006416 \cdot 10^{-64}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq 3.9401223715900073 \cdot 10^{+52}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 9
Error33.7
Cost9460
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \left(\left(1 + KbT \cdot \frac{NaChar}{Ev}\right) + -1\right)\\ t_4 := t_0 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_5 := t_2 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{if}\;Ev \leq -1.7694339279703797 \cdot 10^{+251}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -9.556510281422477 \cdot 10^{+184}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq -3.569288953195363 \cdot 10^{+132}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq -1.4734171659156792 \cdot 10^{+91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.9769257467300916 \cdot 10^{+45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.5997407585684075 \cdot 10^{+28}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1396863973229611:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -297.02307857692676:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq -9.905116385337337 \cdot 10^{-34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -6.369402406437585 \cdot 10^{-67}:\\ \;\;\;\;t_2 + NaChar \cdot 0.5\\ \mathbf{elif}\;Ev \leq 1.3725810866141994 \cdot 10^{-271}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Ev \leq 8.632056857006416 \cdot 10^{-64}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;Ev \leq 3.9401223715900073 \cdot 10^{+52}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 10
Error32.5
Cost9320
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq -1.2865102686490808 \cdot 10^{-48}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -5.814953484100331 \cdot 10^{-105}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq -5.364846083083393 \cdot 10^{-207}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -1.4641339954270865 \cdot 10^{-241}:\\ \;\;\;\;t_0 + \left(\left(1 + KbT \cdot \frac{NaChar}{Ev}\right) + -1\right)\\ \mathbf{elif}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 3.533958781866422 \cdot 10^{+82}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{elif}\;EAccept \leq 1.4626921388744264 \cdot 10^{+104}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 1.7130932523194253 \cdot 10^{+116}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \end{array} \]
Alternative 11
Error38.0
Cost9068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq -3.0247633985340794 \cdot 10^{-40}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -5.814953484100331 \cdot 10^{-105}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq -5.364846083083393 \cdot 10^{-207}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -1.4641339954270865 \cdot 10^{-241}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.1290195472740785 \cdot 10^{+55}:\\ \;\;\;\;t_0 + \frac{1}{\frac{Ev}{KbT \cdot NaChar}}\\ \mathbf{elif}\;EAccept \leq 2.0451246673468874 \cdot 10^{+121}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.6315301293454832 \cdot 10^{+128}:\\ \;\;\;\;t_0 - \frac{KbT}{\frac{mu}{NaChar}}\\ \mathbf{elif}\;EAccept \leq 1.0208627233579963 \cdot 10^{+137}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\left(2 + \left(\frac{Vef}{KbT} + \frac{EAccept}{KbT}\right)\right) + \frac{Ev - mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 12
Error25.9
Cost9048
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ t_3 := t_1 + \frac{NaChar}{1 + \left(\frac{Ev}{KbT} - \frac{mu}{KbT}\right)}\\ \mathbf{if}\;NdChar \leq -4.445636093844398 \cdot 10^{+23}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 9.382790847501606 \cdot 10^{-146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 3.4765893375645925 \cdot 10^{-96}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 39327229953.34689:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 7.585121012407618 \cdot 10^{+129}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NdChar \leq 1.76908643530735 \cdot 10^{+198}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 13
Error32.8
Cost8932
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq -1.2865102686490808 \cdot 10^{-48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -5.814953484100331 \cdot 10^{-105}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq -5.364846083083393 \cdot 10^{-207}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -1.4641339954270865 \cdot 10^{-241}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 2.1290195472740785 \cdot 10^{+55}:\\ \;\;\;\;t_0 + \frac{1}{\frac{Ev}{KbT \cdot NaChar}}\\ \mathbf{elif}\;EAccept \leq 1.0208627233579963 \cdot 10^{+137}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 14
Error24.3
Cost8904
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;NdChar \leq -4.445636093844398 \cdot 10^{+23}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 9.382790847501606 \cdot 10^{-146}:\\ \;\;\;\;t_0 + \frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)}\\ \mathbf{elif}\;NdChar \leq 3.4765893375645925 \cdot 10^{-96}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \mathbf{elif}\;NdChar \leq 1.0938668474585974 \cdot 10^{+46}:\\ \;\;\;\;t_0 + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 15
Error32.5
Cost8800
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{if}\;EAccept \leq -1.2865102686490808 \cdot 10^{-48}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -5.814953484100331 \cdot 10^{-105}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{elif}\;EAccept \leq -5.364846083083393 \cdot 10^{-207}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -1.4641339954270865 \cdot 10^{-241}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 3.4420453434108673 \cdot 10^{-18}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 1.0208627233579963 \cdot 10^{+137}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 - \frac{mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 16
Error24.0
Cost8784
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2 + \frac{mu}{KbT} \cdot \left(1 + \frac{mu}{KbT} \cdot 0.5\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\frac{Vef}{KbT} + 2\right)\right) - \frac{mu}{KbT}}\\ \mathbf{if}\;NdChar \leq -9.696459087365236 \cdot 10^{+40}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NdChar \leq 9.382790847501606 \cdot 10^{-146}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 3.4765893375645925 \cdot 10^{-96}:\\ \;\;\;\;t_1 + \frac{KbT}{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{NaChar}}\\ \mathbf{elif}\;NdChar \leq 1.0938668474585974 \cdot 10^{+46}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 17
Error37.2
Cost8672
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := t_0 + NaChar \cdot 0.5\\ \mathbf{if}\;EAccept \leq -3.0247633985340794 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -5.814953484100331 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -5.364846083083393 \cdot 10^{-207}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -1.4641339954270865 \cdot 10^{-241}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT}}\\ \mathbf{elif}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 3.3189496319192534 \cdot 10^{-101}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq 1.0208627233579963 \cdot 10^{+137}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 18
Error39.8
Cost8416
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := KbT \cdot \frac{NaChar}{Ev}\\ t_2 := \frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;t_0 + t_1\\ \mathbf{elif}\;EAccept \leq 2.655492323251416 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 7.157791297467579 \cdot 10^{-203}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 7.616016407252579 \cdot 10^{+49}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 7.42011554116279 \cdot 10^{+110}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 4.068614473056383 \cdot 10^{+197}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 19
Error36.9
Cost8408
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ t_2 := t_0 + NaChar \cdot 0.5\\ \mathbf{if}\;EAccept \leq -3.0247633985340794 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq -5.814953484100331 \cdot 10^{-105}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 3.3189496319192534 \cdot 10^{-101}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;EAccept \leq 1.0208627233579963 \cdot 10^{+137}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{EAccept}\\ \end{array} \]
Alternative 20
Error38.9
Cost8280
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;t_0 + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 7.616016407252579 \cdot 10^{+49}:\\ \;\;\;\;KbT \cdot \frac{NaChar}{Ev} + \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 7.42011554116279 \cdot 10^{+110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 4.068614473056383 \cdot 10^{+197}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 21
Error39.4
Cost8152
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;t_0 + \frac{EAccept}{\frac{\frac{KbT}{NaChar}}{-0.25}}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 7.616016407252579 \cdot 10^{+49}:\\ \;\;\;\;KbT \cdot \frac{NaChar}{Ev} + \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 7.42011554116279 \cdot 10^{+110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 4.068614473056383 \cdot 10^{+197}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 22
Error39.4
Cost8152
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.1379562289024607 \cdot 10^{-307}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{\frac{mu}{KbT} + 2}\\ \mathbf{elif}\;EAccept \leq 3.675377108686142 \cdot 10^{-257}:\\ \;\;\;\;t_0 + -0.25 \cdot \frac{NaChar \cdot EAccept}{KbT}\\ \mathbf{elif}\;EAccept \leq 2.6372065867873535 \cdot 10^{-12}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 7.616016407252579 \cdot 10^{+49}:\\ \;\;\;\;KbT \cdot \frac{NaChar}{Ev} + \frac{NdChar}{1 + e^{-\frac{Ec}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 7.42011554116279 \cdot 10^{+110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 4.068614473056383 \cdot 10^{+197}:\\ \;\;\;\;t_0 + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 23
Error27.7
Cost7752
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -2.0181620021072333 \cdot 10^{-73}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 39327229953.34689:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 24
Error39.9
Cost7696
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;mu \leq -0.20928907563759122:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.3911068230806375 \cdot 10^{-60}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq 5.001494289322487 \cdot 10^{+211}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;mu \leq 2.1621874134975169 \cdot 10^{+257}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 25
Error40.4
Cost7696
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := t_0 + NaChar \cdot 0.5\\ \mathbf{if}\;mu \leq -0.20928907563759122:\\ \;\;\;\;t_1\\ \mathbf{elif}\;mu \leq 9.587916450619219 \cdot 10^{+60}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;mu \leq 3.1884472353421186 \cdot 10^{+134}:\\ \;\;\;\;t_0 + KbT \cdot \frac{NaChar}{Ev}\\ \mathbf{elif}\;mu \leq 2.1621874134975169 \cdot 10^{+257}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{-mu}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 26
Error35.1
Cost7624
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -9.645562081682851 \cdot 10^{-92}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 1.7633897212962548 \cdot 10^{-15}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{\left(Ev + EAccept\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 27
Error39.6
Cost7368
\[\begin{array}{l} t_0 := \frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -7.388703430136888 \cdot 10^{-19}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 9.516915419409859 \cdot 10^{+27}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 28
Error39.8
Cost7368
\[\begin{array}{l} t_0 := \frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{if}\;Vef \leq -8.246107298749756 \cdot 10^{-52}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 9.853980498100367 \cdot 10^{+201}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 29
Error39.1
Cost7368
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + NaChar \cdot 0.5\\ \mathbf{if}\;NdChar \leq -2.0181620021072333 \cdot 10^{-73}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 2.1079596080060822 \cdot 10^{-42}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 30
Error40.5
Cost7236
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ \mathbf{if}\;NdChar \leq -2.0181620021072333 \cdot 10^{-73}:\\ \;\;\;\;\frac{NdChar}{t_0} + NaChar \cdot 0.5\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{t_0}\\ \end{array} \]
Alternative 31
Error40.8
Cost7104
\[\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2} \]
Alternative 32
Error46.2
Cost2376
\[\begin{array}{l} t_0 := NaChar \cdot 0.5 + NdChar \cdot 0.5\\ \mathbf{if}\;NaChar \leq -1.5276774892741323 \cdot 10^{-189}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 2.4605662826879085 \cdot 10^{-98}:\\ \;\;\;\;\frac{NdChar}{1 + \left(\left(\frac{mu}{KbT} + \left(1 + \left(\frac{Vef}{KbT} + \frac{EDonor}{KbT}\right)\right)\right) - \frac{Ec}{KbT}\right)} + KbT \cdot \frac{NaChar}{EAccept + \left(Ev - \left(mu - Vef\right)\right)}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 33
Error53.1
Cost584
\[\begin{array}{l} \mathbf{if}\;mu \leq 2.643713365401201 \cdot 10^{+80}:\\ \;\;\;\;NdChar \cdot 0.5\\ \mathbf{elif}\;mu \leq 4.569744163849039 \cdot 10^{+191}:\\ \;\;\;\;KbT \cdot \frac{NaChar}{Ev}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5\\ \end{array} \]
Alternative 34
Error51.6
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -5.0807043268472584 \cdot 10^{-39}:\\ \;\;\;\;NdChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 7.472570355439658 \cdot 10^{-109}:\\ \;\;\;\;\frac{KbT \cdot NaChar}{Ev}\\ \mathbf{else}:\\ \;\;\;\;NdChar \cdot 0.5\\ \end{array} \]
Alternative 35
Error46.1
Cost448
\[NaChar \cdot 0.5 + NdChar \cdot 0.5 \]
Alternative 36
Error52.4
Cost192
\[NdChar \cdot 0.5 \]

Error

Reproduce

herbie shell --seed 2022294 
(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))))))