Average Error: 0.0 → 0.0
Time: 1.1min
Precision: binary64
Cost: 14528
\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
\[\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} \]
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ Ev (+ Vef (- EAccept mu))) KbT))))))
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp(((Vef + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + exp(((Ev + (Vef + (EAccept - mu))) / KbT))));
}
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((vef + (edonor + (mu - ec))) / kbt)))) + (nachar / (1.0d0 + exp(((ev + (vef + (eaccept - mu))) / kbt))))
end function
public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + Math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp(((Vef + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + Math.exp(((Ev + (Vef + (EAccept - mu))) / KbT))));
}
def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))))
def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp(((Vef + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + math.exp(((Ev + (Vef + (EAccept - mu))) / KbT))))
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(-Float64(Float64(Float64(Ec - Vef) - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Float64(Ev + Vef) + EAccept) + Float64(-mu)) / KbT)))))
end
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(Vef + Float64(EDonor + Float64(mu - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Ev + Float64(Vef + Float64(EAccept - mu))) / KbT)))))
end
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((Vef + (EDonor + (mu - Ec))) / KbT)))) + (NaChar / (1.0 + exp(((Ev + (Vef + (EAccept - mu))) / KbT))));
end
code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[((-N[(N[(N[(Ec - Vef), $MachinePrecision] - EDonor), $MachinePrecision] - mu), $MachinePrecision]) / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(N[(Ev + Vef), $MachinePrecision] + EAccept), $MachinePrecision] + (-mu)), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[(N[(Vef + N[(EDonor + N[(mu - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(Ev + N[(Vef + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}}
\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}

Error

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Your Program's Arguments

Results

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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

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

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

Alternatives

Alternative 1
Error30.0
Cost15608
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_3 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Ev \leq -1.2670160598947492 \cdot 10^{+275}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.0401453536099705 \cdot 10^{+237}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -1.04630143402626 \cdot 10^{+225}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.5008322982798607 \cdot 10^{+116}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -8.988477434851166 \cdot 10^{+65}:\\ \;\;\;\;t_4 + \frac{NaChar}{2}\\ \mathbf{elif}\;Ev \leq -9.572014302080669 \cdot 10^{+23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -0.006081266066164192:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.4252948359091588 \cdot 10^{-96}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq -3.0275388587869754 \cdot 10^{-143}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Ev \leq -1.8544117465405156 \cdot 10^{-178}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Ev \leq -6.7972050139563516 \cdot 10^{-220}:\\ \;\;\;\;t_4 + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;Ev \leq -3.6414895795098087 \cdot 10^{-236}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Ev \leq -1.9885660541502576 \cdot 10^{-240}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Ev \leq 1.361876864069005 \cdot 10^{-178}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 2
Error17.7
Cost15332
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ t_3 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_4 := t_0 + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{if}\;Vef \leq -4.115321353858262 \cdot 10^{+55}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.8877442713792946 \cdot 10^{-270}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.1886600065800953 \cdot 10^{-272}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 1.9538945818803724 \cdot 10^{-247}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 3.385416768875361 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.0648563257427667 \cdot 10^{-141}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 3.3469144848840545 \cdot 10^{-101}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 19647639395681.496:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 5.811568929444778 \cdot 10^{+161}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Error17.1
Cost15332
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.8296774747371994 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.0849852385051003 \cdot 10^{-47}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;EDonor \leq -1.1871512346805954 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.4601935308617562 \cdot 10^{-273}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 3.015016114568687 \cdot 10^{-18}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.5547701894990473 \cdot 10^{+63}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 2.3014622631498233 \cdot 10^{+114}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 6.2602589428723264 \cdot 10^{+209}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.394227048890212 \cdot 10^{+252}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 4
Error18.5
Cost15200
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ t_2 := t_0 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_4 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;EAccept \leq -3.2499619645095215 \cdot 10^{-168}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 3.1408513587560294 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 8.691639243742611 \cdot 10^{-100}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 5.927945476608891 \cdot 10^{-25}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EAccept \leq 5.629883901812612 \cdot 10^{-11}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 14.530773319294857:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EAccept \leq 12109351557931108:\\ \;\;\;\;t_4\\ \mathbf{elif}\;EAccept \leq 1.3682169013576381 \cdot 10^{+38}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 5
Error17.5
Cost15068
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}}\\ t_2 := t_1 + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.8296774747371994 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq -1.0849852385051003 \cdot 10^{-47}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;EDonor \leq -1.1871512346805954 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;EDonor \leq 1.6143080270851234 \cdot 10^{-249}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 3.015016114568687 \cdot 10^{-18}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.5547701894990473 \cdot 10^{+63}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 2.3014622631498233 \cdot 10^{+114}:\\ \;\;\;\;t_1 + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 6
Error16.2
Cost14936
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -4.115321353858262 \cdot 10^{+55}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.8877442713792946 \cdot 10^{-270}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.1886600065800953 \cdot 10^{-272}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;Vef \leq 19647639395681.496:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.2384307432026403 \cdot 10^{+76}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{elif}\;Vef \leq 2.3814712300772178 \cdot 10^{+119}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 7
Error24.3
Cost14676
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{1 + \left(1 + \frac{EDonor}{KbT}\right)}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.1090164990951807 \cdot 10^{+202}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -8.850234948075755 \cdot 10^{-125}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -1.3139136657510215 \cdot 10^{-224}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}}\\ \mathbf{elif}\;EDonor \leq -1.4601935308617562 \cdot 10^{-273}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 3.015016114568687 \cdot 10^{-18}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) - mu}{KbT}}}\\ \mathbf{elif}\;EDonor \leq 1.5547701894990473 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 2.1501893605059996 \cdot 10^{+95}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 6.2602589428723264 \cdot 10^{+209}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 8
Error25.1
Cost14288
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ t_3 := \frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ t_4 := \frac{NdChar}{t_0}\\ \mathbf{if}\;Vef \leq -3.0432809223715004 \cdot 10^{+87}:\\ \;\;\;\;t_4 + \frac{NaChar}{t_0}\\ \mathbf{elif}\;Vef \leq -5.479729177225585 \cdot 10^{-8}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -2.0631426502514716 \cdot 10^{-13}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.3147848031648816 \cdot 10^{-140}:\\ \;\;\;\;t_4 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;Vef \leq 4.3726346415866935 \cdot 10^{-277}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 1.991275935968527 \cdot 10^{-260}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.0648563257427667 \cdot 10^{-141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 2.5276409279430713 \cdot 10^{-113}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 19647639395681.496:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7.937160609048216 \cdot 10^{+79}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Error22.0
Cost9040
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;NaChar \leq -6.744690231993736 \cdot 10^{+51}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.3713691875498393 \cdot 10^{-210}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 8.900170432263268 \cdot 10^{-36}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.7280637577774732 \cdot 10^{+83}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef + \left(EDonor + \left(mu - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \left(\frac{EAccept}{KbT} - \frac{mu}{KbT}\right)\right)}\\ \mathbf{elif}\;NaChar \leq 1.1225674844390019 \cdot 10^{+101}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.178995112378848 \cdot 10^{+124}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 10
Error27.4
Cost8684
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ t_2 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;Vef \leq -2.0631426502514716 \cdot 10^{-13}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -4.102312776696741 \cdot 10^{-110}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;Vef \leq -3.7929744050466563 \cdot 10^{-175}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.087909151647286 \cdot 10^{-208}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -7.0897965050761405 \cdot 10^{-289}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 1.1886600065800953 \cdot 10^{-272}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.0935011879910057 \cdot 10^{-271}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 6.528196375666368 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 2.5276409279430713 \cdot 10^{-113}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 19647639395681.496:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 3.4416821021798354 \cdot 10^{+65}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{-Ec}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 11
Error25.1
Cost8288
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;EDonor \leq -1.1090164990951807 \cdot 10^{+202}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq -3.506543787949142 \cdot 10^{-171}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq -1.3139136657510215 \cdot 10^{-224}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.6068572597117977 \cdot 10^{-268}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 1.95 \cdot 10^{-95}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 1.5547701894990473 \cdot 10^{+63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;EDonor \leq 2.1501893605059996 \cdot 10^{+95}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;EDonor \leq 4.041126745390986 \cdot 10^{+207}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 12
Error21.2
Cost8148
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{\left(Vef + \left(EDonor + mu\right)\right) - Ec}{KbT}}}\\ \mathbf{if}\;NaChar \leq -6.744690231993736 \cdot 10^{+51}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.3713691875498393 \cdot 10^{-210}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 8.900170432263268 \cdot 10^{-36}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 1.7280637577774732 \cdot 10^{+83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 1.1225674844390019 \cdot 10^{+101}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev + \left(Vef + \left(EAccept - mu\right)\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.178995112378848 \cdot 10^{+124}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 13
Error39.3
Cost7632
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{if}\;NaChar \leq -2.5461287926757244 \cdot 10^{-38}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NaChar \leq 2.5965067016696722 \cdot 10^{-151}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{elif}\;NaChar \leq 8.900170432263268 \cdot 10^{-36}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 1.9398004010449355 \cdot 10^{+36}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 14
Error43.1
Cost7368
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;Vef \leq 2.565932345464499 \cdot 10^{+163}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 1.3493484499748926 \cdot 10^{+260}:\\ \;\;\;\;\frac{NaChar}{\frac{Vef - mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 15
Error39.3
Cost7368
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{if}\;NdChar \leq -0.0037429583284747697:\\ \;\;\;\;t_0\\ \mathbf{elif}\;NdChar \leq 17402985297.504486:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 16
Error39.3
Cost7368
\[\begin{array}{l} \mathbf{if}\;NaChar \leq -2.5461287926757244 \cdot 10^{-38}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;NaChar \leq 2.5965067016696722 \cdot 10^{-151}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 17
Error44.8
Cost1604
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.5888418718271102 \cdot 10^{-98}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\left(\frac{Ev}{KbT} + \left(\left(2 + \frac{Vef}{KbT}\right) + \frac{EAccept}{KbT}\right)\right) - \frac{mu}{KbT}}\\ \mathbf{elif}\;KbT \leq 4.0855304034099087 \cdot 10^{+37}:\\ \;\;\;\;\frac{NaChar}{\frac{Vef \cdot \frac{KbT}{mu} - KbT}{KbT \cdot \frac{KbT}{mu}}}\\ \mathbf{else}:\\ \;\;\;\;0.5 \cdot \left(NdChar + NaChar\right)\\ \end{array} \]
Alternative 18
Error44.5
Cost1224
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -39761384902.727615:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 0.05026550367525896:\\ \;\;\;\;\frac{NaChar}{\frac{KbT - mu \cdot \frac{KbT}{Vef}}{KbT \cdot \frac{KbT}{Vef}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 19
Error44.9
Cost1224
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -8.725519739604138 \cdot 10^{-158}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 4.0855304034099087 \cdot 10^{+37}:\\ \;\;\;\;\frac{NaChar}{\frac{Vef \cdot \frac{KbT}{mu} - KbT}{KbT \cdot \frac{KbT}{mu}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 20
Error45.4
Cost712
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -8.725519739604138 \cdot 10^{-158}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 0.05026550367525896:\\ \;\;\;\;\frac{NaChar}{\frac{Vef - mu}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 21
Error46.1
Cost584
\[\begin{array}{l} t_0 := 0.5 \cdot \left(NdChar + NaChar\right)\\ \mathbf{if}\;KbT \leq -8.725519739604138 \cdot 10^{-158}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;KbT \leq 0.05026550367525896:\\ \;\;\;\;\frac{NaChar}{\frac{Vef}{KbT}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 22
Error58.6
Cost320
\[\frac{NaChar}{\frac{Vef}{KbT}} \]

Error

Reproduce

herbie shell --seed 2022318 
(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))))))