Python, Score \$7.503\cdot10^{59}\$
Note the numbers here are absolute nonsense, I hope most submissions will have a score that can be written in the title without needing scientific notation
5 byte solution:
413e7
10 byte solution
413e9+x**2413e7+x**2
20 byte solution
413e9+x**2413e7+x**2.46*4.321
40 byte solution
0*413e9+x**20*413e7+x**2.46*4.321+x**3.718232*8.3e9
80 byte solution
lambda x:0.010*413e9+x**2010*413e7+x**2.46*4.321+x**3.718232*8.3e9+__import__("math").sin(x/2)