i =  1
Extrap. function:    0.500000    0.250000    0.125000    0.062500
Estimated error:     0.500000    0.250000    0.125000    0.062500

i =  2
Extrap. function:    0.333333    0.305556    0.245370    0.184414
Estimated error:    -0.083333    0.027778    0.060185    0.060957

i =  3
Extrap. function:    0.958333    0.795139    0.657697    0.539376
Estimated error:     0.208333    0.163195    0.137442    0.118321

i =  4
Extrap. function:    0.991666    0.952361    0.893428    0.822618
Estimated error:     0.008333    0.039305    0.058933    0.070810

i =  5
Extrap. function:    0.998610    0.990902    0.974656    0.949317
Estimated error:     0.001389    0.007708    0.016246    0.025340

i =  6
Extrap. function:    0.999808    0.998532    0.995124    0.988579
Estimated error:     0.000200    0.001272    0.003411    0.006544

i =  7
Extrap. function:    0.999959    0.999793    0.999203    0.997873
Estimated error:     0.000022    0.000180    0.000583    0.001328

i =  8
Extrap. function:    1.000024    0.999979    0.999886    0.999661
Estimated error:     0.000008    0.000023    0.000085    0.000224

i =  9
Extrap. function:    0.999936    0.999903    0.999979    1.000029
Estimated error:    -0.000010   -0.000008    0.000010    0.000041

i = 10
Extrap. function:    1.000285    1.000613    1.000337    0.999801
Estimated error:     0.000035    0.000071    0.000036   -0.000023

actual values:       1.000000    1.000000    1.000000    1.000000