Sorry, if it is well known limitation, but povray 3.7 beta 36 reproduces
sphere_sweep problems of 3.6 and 3.5 (Windows 32). E.g. only one example:

----------------------------------------------------------
//-w640 -h480 +fn +am2 +a0.1

background {color <1,1,1>}

light_source{ <200,500,-1000> color <1,1,1>}

camera{
    location <0,2, -15>
    look_at <0,0.5,0>
    angle 8
   }



sphere_sweep {
  cubic_spline
  6,
  <0,-0.5,0>, 0.02,
  <0,0,0>, 0.02,
  <-0.05,0.5,0>, 0.02,
  <-0.1,1.075,0>, 0.03,
  <0.25,1,0>, 0.04,
  <0.3,1.5,0>, 0.035
  tolerance 1.0e-4
  rotate 72*y
  texture{pigment{rgb <0,1,0>}}
 }

-------------------------------------------------------------------
Alexander

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