Average Error: 0.0 → 0.0
Time: 12.6s
Precision: 64
\[\frac{NdChar}{1 + e^{\frac{-\left(\left(\left(Ec - Vef\right) - EDonor\right) - mu\right)}{KbT}}} + \frac{NaChar}{1 + e^{\frac{\left(\left(Ev + Vef\right) + EAccept\right) + \left(-mu\right)}{KbT}}}\]
↓
\[\frac{NaChar}{e^{\frac{\left(\left(Ev + Vef\right) - mu\right) + EAccept}{KbT}} + 1} + \frac{NdChar}{e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}} + 1}\]
\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{NaChar}{e^{\frac{\left(\left(Ev + Vef\right) - mu\right) + EAccept}{KbT}} + 1} + \frac{NdChar}{e^{\frac{mu - \left(\left(Ec - Vef\right) - EDonor\right)}{KbT}} + 1}
double f(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
        double r3998491 = NdChar;
        double r3998492 = 1.0;
        double r3998493 = Ec;
        double r3998494 = Vef;
        double r3998495 = r3998493 - r3998494;
        double r3998496 = EDonor;
        double r3998497 = r3998495 - r3998496;
        double r3998498 = mu;
        double r3998499 = r3998497 - r3998498;
        double r3998500 = -r3998499;
        double r3998501 = KbT;
        double r3998502 = r3998500 / r3998501;
        double r3998503 = exp(r3998502);
        double r3998504 = r3998492 + r3998503;
        double r3998505 = r3998491 / r3998504;
        double r3998506 = NaChar;
        double r3998507 = Ev;
        double r3998508 = r3998507 + r3998494;
        double r3998509 = EAccept;
        double r3998510 = r3998508 + r3998509;
        double r3998511 = -r3998498;
        double r3998512 = r3998510 + r3998511;
        double r3998513 = r3998512 / r3998501;
        double r3998514 = exp(r3998513);
        double r3998515 = r3998492 + r3998514;
        double r3998516 = r3998506 / r3998515;
        double r3998517 = r3998505 + r3998516;
        return r3998517;
}
↓
double f(double NdChar, double Ec, double Vef, double EDonor, double mu, double KbT, double NaChar, double Ev, double EAccept) {
        double r3998518 = NaChar;
        double r3998519 = Ev;
        double r3998520 = Vef;
        double r3998521 = r3998519 + r3998520;
        double r3998522 = mu;
        double r3998523 = r3998521 - r3998522;
        double r3998524 = EAccept;
        double r3998525 = r3998523 + r3998524;
        double r3998526 = KbT;
        double r3998527 = r3998525 / r3998526;
        double r3998528 = exp(r3998527);
        double r3998529 = 1.0;
        double r3998530 = r3998528 + r3998529;
        double r3998531 = r3998518 / r3998530;
        double r3998532 = NdChar;
        double r3998533 = Ec;
        double r3998534 = r3998533 - r3998520;
        double r3998535 = EDonor;
        double r3998536 = r3998534 - r3998535;
        double r3998537 = r3998522 - r3998536;
        double r3998538 = r3998537 / r3998526;
        double r3998539 = exp(r3998538);
        double r3998540 = r3998539 + r3998529;
        double r3998541 = r3998532 / r3998540;
        double r3998542 = r3998531 + r3998541;
        return r3998542;
}

Error

Bits error versus NdChar

Bits error versus Ec

Bits error versus Vef

Bits error versus EDonor

Bits error versus mu

Bits error versus KbT

Bits error versus NaChar

Bits error versus Ev

Bits error versus EAccept

Try it out

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019133 +o rules:numerics
(FPCore (NdChar Ec Vef EDonor mu KbT NaChar Ev EAccept)
  :name "Bulmash initializePoisson"
  (+ (/ NdChar (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))