?

Average Accuracy: 100.0% → 100.0%
Time: 52.2s
Precision: binary64
Cost: 14528

?

\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]
↓
\[\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} \]
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
↓
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
 :precision binary64
 (+
  (/ NdChar (+ 1.0 (exp (/ (+ mu (+ EDonor (- Vef Ec))) KbT))))
  (/ NaChar (+ 1.0 (exp (/ (+ (+ Vef Ev) (- EAccept mu)) KbT))))))
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
↓
double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
}

real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp((-(((ec - vef) - edonor) - mu) / kbt)))) + (nachar / (1.0d0 + exp(((((ev + vef) + eaccept) + -mu) / kbt))))
end function
↓
real(8) function code(ndchar, ec, vef, edonor, mu, kbt, nachar, ev, eaccept)
    real(8), intent (in) :: ndchar
    real(8), intent (in) :: ec
    real(8), intent (in) :: vef
    real(8), intent (in) :: edonor
    real(8), intent (in) :: mu
    real(8), intent (in) :: kbt
    real(8), intent (in) :: nachar
    real(8), intent (in) :: ev
    real(8), intent (in) :: eaccept
    code = (ndchar / (1.0d0 + exp(((mu + (edonor + (vef - ec))) / kbt)))) + (nachar / (1.0d0 + exp((((vef + ev) + (eaccept - mu)) / kbt))))
end function

public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + Math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
}
↓
public static double code(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
	return (NdChar / (1.0 + Math.exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + Math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
}

def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + math.exp(((((Ev + Vef) + EAccept) + -mu) / KbT))))
↓
def code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept):
	return (NdChar / (1.0 + math.exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + math.exp((((Vef + Ev) + (EAccept - mu)) / KbT))))

function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(-Float64(Float64(Float64(Ec - Vef) - EDonor) - mu)) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Float64(Ev + Vef) + EAccept) + Float64(-mu)) / KbT)))))
end
↓
function code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	return Float64(Float64(NdChar / Float64(1.0 + exp(Float64(Float64(mu + Float64(EDonor + Float64(Vef - Ec))) / KbT)))) + Float64(NaChar / Float64(1.0 + exp(Float64(Float64(Float64(Vef + Ev) + Float64(EAccept - mu)) / KbT)))))
end

function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp((-(((Ec - Vef) - EDonor) - mu) / KbT)))) + (NaChar / (1.0 + exp(((((Ev + Vef) + EAccept) + -mu) / KbT))));
end
↓
function tmp = code(NdChar, Ec, Vef, EDonor, mu, KbT, NaChar, Ev, EAccept)
	tmp = (NdChar / (1.0 + exp(((mu + (EDonor + (Vef - Ec))) / KbT)))) + (NaChar / (1.0 + exp((((Vef + Ev) + (EAccept - mu)) / KbT))));
end

code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[((-N[(N[(N[(Ec - Vef), $MachinePrecision] - EDonor), $MachinePrecision] - mu), $MachinePrecision]) / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(N[(Ev + Vef), $MachinePrecision] + EAccept), $MachinePrecision] + (-mu)), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[NdChar_, Ec_, Vef_, EDonor_, mu_, KbT_, NaChar_, Ev_, EAccept_] := N[(N[(NdChar / N[(1.0 + N[Exp[N[(N[(mu + N[(EDonor + N[(Vef - Ec), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(NaChar / N[(1.0 + N[Exp[N[(N[(N[(Vef + Ev), $MachinePrecision] + N[(EAccept - mu), $MachinePrecision]), $MachinePrecision] / KbT), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

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

Error?

Try it out?

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation?

  1. Initial program 100.0%

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

  2. Simplified100.0%

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

    [Start]100.0

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

    neg-sub0 [=>]100.0

    \[ \frac{NdChar}{1 + e^{\frac{\color{blue}{0 - \left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]

    associate--r- [=>]100.0

    \[ \frac{NdChar}{1 + e^{\frac{\color{blue}{\left(0 - \left(\left(Ec - Vef\right) - EDonor\right)\right) + mu}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]

    +-commutative [=>]100.0

    \[ \frac{NdChar}{1 + e^{\frac{\color{blue}{mu + \left(0 - \left(\left(Ec - Vef\right) - EDonor\right)\right)}}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}} \]

    sub0-neg [=>]100.0

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

    sub-neg [<=]100.0

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

    associate-+l+ [=>]100.0

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

    +-commutative [=>]100.0

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

    unsub-neg [=>]100.0

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

  3. Final simplification100.0%

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

Alternatives

Alternative 1
Accuracy71.5%
Cost15597
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ t_3 := t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ t_4 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{if}\;NaChar \leq -1.5 \cdot 10^{+203}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;NaChar \leq -1.4 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.25 \cdot 10^{-121}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;NaChar \leq -4.6 \cdot 10^{-197}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 1.15 \cdot 10^{-258}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 1.9 \cdot 10^{-173}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 6.2 \cdot 10^{-108}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 5.8 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 6.8 \cdot 10^{+46}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;NaChar \leq 5.8 \cdot 10^{+115} \lor \neg \left(NaChar \leq 4 \cdot 10^{+230}\right):\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 2
Accuracy63.5%
Cost14948
\[\begin{array}{l} t_0 := 1 + e^{\frac{Vef}{KbT}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := \frac{NaChar}{t_0} + \frac{NdChar}{t_0}\\ t_3 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_4 := t_3 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;Vef \leq -1.35 \cdot 10^{+221}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -4.5 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.45 \cdot 10^{+49}:\\ \;\;\;\;t_3 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;Vef \leq -1.12 \cdot 10^{-51}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{1 + e^{\frac{EDonor}{KbT}}}\\ \mathbf{elif}\;Vef \leq -1.25 \cdot 10^{-90}:\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu}{KbT}}} + \frac{NaChar}{1 + e^{\frac{-mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -3.5 \cdot 10^{-142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -5.6 \cdot 10^{-226}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;Vef \leq 4.4 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 7.2 \cdot 10^{+121}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 3
Accuracy64.9%
Cost14940
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;Vef \leq -3.6 \cdot 10^{+222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -1.55 \cdot 10^{+139}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -6.5 \cdot 10^{-45}:\\ \;\;\;\;t_2 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ \mathbf{elif}\;Vef \leq -2.15 \cdot 10^{-144}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -1.6 \cdot 10^{-228}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.8 \cdot 10^{-169}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 5.3 \cdot 10^{+119}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 4
Accuracy72.0%
Cost14940
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_2 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_3 := t_2 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;Vef \leq -6.6 \cdot 10^{+220}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -4.6 \cdot 10^{+140}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -5.5 \cdot 10^{+116}:\\ \;\;\;\;t_2 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)}\\ \mathbf{elif}\;Vef \leq -1.45 \cdot 10^{-186}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -5.6 \cdot 10^{-234}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;Vef \leq 2.1 \cdot 10^{-127}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq 2.05 \cdot 10^{+119}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 5
Accuracy75.3%
Cost14804
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ t_1 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;Vef \leq -2 \cdot 10^{+220}:\\ \;\;\;\;t_0\\ \mathbf{elif}\;Vef \leq -1.46 \cdot 10^{+141}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq -5.6 \cdot 10^{+116}:\\ \;\;\;\;t_1 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)}\\ \mathbf{elif}\;Vef \leq -3 \cdot 10^{-130}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;Vef \leq 6.5 \cdot 10^{+119}:\\ \;\;\;\;t_1 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 6
Accuracy71.1%
Cost14804
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq -1.55 \cdot 10^{-201}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 4.8 \cdot 10^{-70}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{1 + e^{\frac{Vef + \left(mu + EDonor\right)}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 7.4 \cdot 10^{+31}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{1 + e^{\frac{mu}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 9.5 \cdot 10^{+35}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{elif}\;EAccept \leq 1.2 \cdot 10^{+103}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 7
Accuracy72.9%
Cost14540
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;EAccept \leq -7.8 \cdot 10^{-212}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Ev}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 4 \cdot 10^{+36}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{Vef}{KbT}}}\\ \mathbf{elif}\;EAccept \leq 1.45 \cdot 10^{+103}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \end{array} \]
Alternative 8
Accuracy64.2%
Cost9444
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT} \cdot \left(1 + \frac{Vef}{\frac{KbT}{0.5}}\right)\right)}\\ t_3 := t_0 + \frac{NaChar}{2 + \frac{Ev}{KbT} \cdot \left(1 + \frac{Ev}{KbT} \cdot 0.5\right)}\\ \mathbf{if}\;NaChar \leq -1.9 \cdot 10^{+194}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq -1.4 \cdot 10^{-83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq -1.06 \cdot 10^{-120}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 0.00135:\\ \;\;\;\;t_2\\ \mathbf{elif}\;NaChar \leq 5 \cdot 10^{+37}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 7.5 \cdot 10^{+64}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 10^{+142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;NaChar \leq 2.7 \cdot 10^{+210}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;NaChar \leq 4 \cdot 10^{+240}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 9
Accuracy57.5%
Cost8936
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ t_1 := \frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ t_2 := t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{if}\;Vef \leq -1.9 \cdot 10^{+142}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -3.7 \cdot 10^{+100}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq -1.55 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -4.1 \cdot 10^{-45}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 - \frac{mu}{KbT}}\\ \mathbf{elif}\;Vef \leq -8.8 \cdot 10^{-144}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq -3.2 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 4.6 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.1 \cdot 10^{+123}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;Vef \leq 4.4 \cdot 10^{+216}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;Vef \leq 1.75 \cdot 10^{+243}:\\ \;\;\;\;t_0 + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{KbT}{\frac{Vef}{NdChar}}\\ \end{array} \]
Alternative 10
Accuracy66.7%
Cost8388
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -3.6 \cdot 10^{+89}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 + \frac{EAccept}{KbT} \cdot \left(1 + \frac{EAccept}{KbT} \cdot 0.5\right)}\\ \mathbf{elif}\;NdChar \leq 1.8 \cdot 10^{+108}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 11
Accuracy65.7%
Cost8136
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -9.5 \cdot 10^{+89}:\\ \;\;\;\;t_0 + \frac{NaChar}{2 - \frac{mu}{KbT}}\\ \mathbf{elif}\;NdChar \leq 9.5 \cdot 10^{+108}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{1 + \left(1 + \frac{Vef}{KbT}\right)}\\ \end{array} \]
Alternative 12
Accuracy65.8%
Cost8009
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.6 \cdot 10^{+89} \lor \neg \left(NdChar \leq 6.6 \cdot 10^{+107}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \end{array} \]
Alternative 13
Accuracy65.8%
Cost8008
\[\begin{array}{l} t_0 := \frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}}\\ \mathbf{if}\;NdChar \leq -3.5 \cdot 10^{+94}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{EAccept}{KbT} + 2}\\ \mathbf{elif}\;NdChar \leq 3.1 \cdot 10^{+110}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NaChar}{\frac{Ev}{KbT} + 2}\\ \end{array} \]
Alternative 14
Accuracy65.4%
Cost7753
\[\begin{array}{l} \mathbf{if}\;KbT \leq -3.9 \cdot 10^{+146} \lor \neg \left(KbT \leq 2.05 \cdot 10^{+161}\right):\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + Ev\right) + \left(EAccept - mu\right)}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \end{array} \]
Alternative 15
Accuracy64.4%
Cost7753
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -1.05 \cdot 10^{+95} \lor \neg \left(NdChar \leq 1.95 \cdot 10^{+112}\right):\\ \;\;\;\;\frac{NdChar}{1 + e^{\frac{mu + \left(EDonor + \left(Vef - Ec\right)\right)}{KbT}}} + \frac{NaChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \end{array} \]
Alternative 16
Accuracy63.0%
Cost7496
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2 \cdot 10^{+149}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 2.9 \cdot 10^{+238}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{\left(Vef + \left(Ev + EAccept\right)\right) - mu}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{2}\\ \end{array} \]
Alternative 17
Accuracy42.6%
Cost7369
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -2.45 \cdot 10^{+123} \lor \neg \left(KbT \leq 2.25 \cdot 10^{+55}\right):\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;t_0\\ \end{array} \]
Alternative 18
Accuracy42.5%
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -6.2 \cdot 10^{+126}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Ev}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 2 \cdot 10^{+52}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 19
Accuracy42.6%
Cost7368
\[\begin{array}{l} t_0 := \frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{if}\;KbT \leq -1.65 \cdot 10^{+36}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{Vef}{KbT}}} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 6.5 \cdot 10^{+45}:\\ \;\;\;\;t_0\\ \mathbf{else}:\\ \;\;\;\;t_0 + \frac{NdChar}{2}\\ \end{array} \]
Alternative 20
Accuracy40.8%
Cost7112
\[\begin{array}{l} \mathbf{if}\;KbT \leq -2.1 \cdot 10^{+126}:\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{2}\\ \mathbf{elif}\;KbT \leq 2.2 \cdot 10^{+94}:\\ \;\;\;\;\frac{NaChar}{1 + e^{\frac{EAccept}{KbT}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar}{2} + \frac{NaChar}{\left(2 + \left(\frac{Vef}{KbT} + \frac{EAccept}{KbT}\right)\right) + \frac{Ev - mu}{KbT}}\\ \end{array} \]
Alternative 21
Accuracy26.6%
Cost713
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -4.3 \cdot 10^{-152} \lor \neg \left(NdChar \leq 2 \cdot 10^{-306}\right):\\ \;\;\;\;\frac{NaChar}{2} + \frac{NdChar}{2}\\ \mathbf{else}:\\ \;\;\;\;\frac{NdChar \cdot KbT}{EDonor}\\ \end{array} \]
Alternative 22
Accuracy17.1%
Cost584
\[\begin{array}{l} \mathbf{if}\;NdChar \leq -3.45 \cdot 10^{-122}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;NdChar \leq 4.5 \cdot 10^{-307}:\\ \;\;\;\;KbT \cdot \frac{NdChar}{EDonor}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 23
Accuracy20.0%
Cost584
\[\begin{array}{l} \mathbf{if}\;KbT \leq -1.5 \cdot 10^{-55}:\\ \;\;\;\;NaChar \cdot 0.5\\ \mathbf{elif}\;KbT \leq 5 \cdot 10^{-68}:\\ \;\;\;\;NdChar \cdot \frac{KbT}{EDonor}\\ \mathbf{else}:\\ \;\;\;\;NaChar \cdot 0.5\\ \end{array} \]
Alternative 24
Accuracy18.6%
Cost192
\[NaChar \cdot 0.5 \]

Error

Reproduce?

herbie shell --seed 2023126 
(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))))))