Average Error: 16.9 → 16.9
Time: 4.4s
Precision: binary64
\[\frac{\frac{\left(\left(\left(e^{\frac{L}{\lambda}} \cdot 2\right) \cdot 0.36099999999999999\right) \cdot Ne\right) \cdot {Rm}^{2.7000000000000002}}{\pi}}{\beta}\]
↓
\[\frac{\frac{\left(\left(\left(e^{\frac{L}{\lambda}} \cdot 2\right) \cdot 0.36099999999999999\right) \cdot Ne\right) \cdot {Rm}^{2.7000000000000002}}{\pi}}{\beta}\]
\frac{\frac{\left(\left(\left(e^{\frac{L}{\lambda}} \cdot 2\right) \cdot 0.36099999999999999\right) \cdot Ne\right) \cdot {Rm}^{2.7000000000000002}}{\pi}}{\beta}
↓
\frac{\frac{\left(\left(\left(e^{\frac{L}{\lambda}} \cdot 2\right) \cdot 0.36099999999999999\right) \cdot Ne\right) \cdot {Rm}^{2.7000000000000002}}{\pi}}{\beta}
double code(double L, double lambda, double Ne, double Rm, double beta) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) exp(((double) (L / lambda)))) * 2.0)) * 0.361)) * Ne)) * ((double) pow(Rm, 2.7)))) / ((double) M_PI))) / beta));
}
↓
double code(double L, double lambda, double Ne, double Rm, double beta) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) exp(((double) (L / lambda)))) * 2.0)) * 0.361)) * Ne)) * ((double) pow(Rm, 2.7)))) / ((double) M_PI))) / beta));
}

Error

Bits error versus L

Bits error versus lambda

Bits error versus Ne

Bits error versus Rm

Bits error versus beta

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.9

    \[\frac{\frac{\left(\left(\left(e^{\frac{L}{\lambda}} \cdot 2\right) \cdot 0.36099999999999999\right) \cdot Ne\right) \cdot {Rm}^{2.7000000000000002}}{\pi}}{\beta}\]

  2. Final simplification16.9

    \[\leadsto \frac{\frac{\left(\left(\left(e^{\frac{L}{\lambda}} \cdot 2\right) \cdot 0.36099999999999999\right) \cdot Ne\right) \cdot {Rm}^{2.7000000000000002}}{\pi}}{\beta}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (L lambda Ne Rm beta)
  :name "(/ (/ (* (* (* (* (exp (/ L lambda)) 2) 0.361) Ne) (pow Rm 2.7)) PI) beta)"
  :precision binary64
  (/ (/ (* (* (* (* (exp (/ L lambda)) 2.0) 0.361) Ne) (pow Rm 2.7)) PI) beta))