sine function from 0 to PI

  coefficients
   -0.000223    0.986030    0.051785   -0.232808    0.037059

        x          f(x)      polynomial
    0.157080     0.156434     0.155061
    0.471239     0.453990     0.453398
    0.785398     0.707107     0.707459
    1.099557     0.891007     0.891261
    1.413717     0.987688     0.987484
    1.727876     0.987688     0.987472
    2.042035     0.891007     0.891232
    2.356194     0.707107     0.707438
    2.670354     0.453991     0.453424
    2.984513     0.156434     0.155189

************************************
press RETURN
exponential function from 0 to 1

  coefficients
    0.999849    1.001009    0.501251    0.152557    0.063568

        x          f(x)      polynomial
    0.050000     1.051271     1.051172
    0.150000     1.161834     1.161825
    0.250000     1.284025     1.284061
    0.350000     1.419068     1.419100
    0.450000     1.568312     1.568315
    0.550000     1.733253     1.733231
    0.650000     1.915541     1.915527
    0.750000     2.117000     2.117033
    0.850000     2.339647     2.339733
    0.950000     2.585710     2.585762

************************************
press RETURN