Further improvements

[saschatimme]

There was an unnecessary additional for loop. After I removed it the performance improved even further. I think the code is now nearly optimal.

x + y + 1
BenchmarkTools.Trial: 
  memory estimate:  0 bytes
  allocs estimate:  0
  --------------
  minimum time:     23.995 ns (0.00% GC)
  median time:      24.200 ns (0.00% GC)
  mean time:        26.700 ns (0.00% GC)
  maximum time:     614.453 ns (0.00% GC)
  --------------
  samples:          10000
  evals/sample:     996

x^4 + 4x^3 + 6x^2 + 4x + y + 1
BenchmarkTools.Trial: 
  memory estimate:  0 bytes
  allocs estimate:  0
  --------------
  minimum time:     34.365 ns (0.00% GC)
  median time:      36.947 ns (0.00% GC)
  mean time:        55.722 ns (0.00% GC)
  maximum time:     24.551 μs (0.00% GC)
  --------------
  samples:          10000
  evals/sample:     992

50x^3 + 83x^2y + 24xy^2 + y^3 + 392x^2 + 414xy + 50y^2 - 28x + 59y - 100
BenchmarkTools.Trial: 
  memory estimate:  0 bytes
  allocs estimate:  0
  --------------
  minimum time:     45.447 ns (0.00% GC)
  median time:      45.685 ns (0.00% GC)
  mean time:        50.081 ns (0.00% GC)
  maximum time:     238.315 ns (0.00% GC)
  --------------
  samples:          10000
  evals/sample:     989

x^4y^2 + 10x^3y^2 + 3x^3y + 15x^2y^2 + xy^3 + 10x^2y + 10xy^2 + x^2 + 10xy + x + y
BenchmarkTools.Trial: 
  memory estimate:  0 bytes
  allocs estimate:  0
  --------------
  minimum time:     49.255 ns (0.00% GC)
  median time:      49.745 ns (0.00% GC)
  mean time:        54.466 ns (0.00% GC)
  maximum time:     659.012 ns (0.00% GC)
  --------------
  samples:          10000
  evals/sample:     987

[codecov]

Codecov Report

Merging #3 into master will not change coverage.
The diff coverage is 100%.

@@           Coverage Diff           @@
##           master       #3   +/-   ##
=======================================
  Coverage   94.58%   94.58%           
=======================================
  Files           3        3           
  Lines         240      240           
=======================================
  Hits          227      227           
  Misses         13       13

Impacted Files	Coverage Δ
src/poly.jl	96.83% <100%> (ø)	⬆️

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