Root approximation after   0 iterations = 1.0000000000
Root approximation after   1 iterations = 0.5000000000
Root approximation after   2 iterations = 0.9255429162
Root approximation after   3 iterations = 1.1048436153
Root approximation after   4 iterations = 0.9634323844
Root approximation after   5 iterations = 0.9723528877
Root approximation after   6 iterations = 0.9749769537
Root approximation after   7 iterations = 0.9749166914
Root approximation after   8 iterations = 0.9749169995
Root approximation after   9 iterations = 0.9749169995
Root approximation after  10 iterations = 0.9749169995
Root approximation after  11 iterations =     -nan
Root approximation after  12 iterations =     -nan
Root approximation after  13 iterations =     -nan