running dop853.f test
step =   0, x = 0.00, y =  2.000000000000000E+00  0.000000000000000E+00
step =  75, x = 0.10, y =  1.931611417501184E+00 -7.070951240604973E-01
step = 128, x = 0.20, y =  1.858493744364602E+00 -7.571048730691862E-01
step = 177, x = 0.30, y =  1.779738552663070E+00 -8.207783428730331E-01
step = 243, x = 0.40, y =  1.693630125574239E+00 -9.059325720860119E-01
step = 316, x = 0.50, y =  1.597323684590663E+00 -1.028599021502069E+00
step = 389, x = 0.60, y =  1.485399833444327E+00 -1.229027713191856E+00
step = 462, x = 0.70, y =  1.344513388516560E+00 -1.655964097245392E+00
step = 525, x = 0.80, y =  1.102733648413240E+00 -4.482889108091831E+00
step = 631, x = 0.90, y = -1.959570969570627E+00  6.898639929483857E-01
step = 687, x = 1.00, y = -1.888370653007531E+00  7.357375003150176E-01
step = 738, x = 1.10, y = -1.812037940682048E+00  7.932568811217787E-01
step = 795, x = 1.20, y = -1.729133704161278E+00  8.685148673473582E-01
step = 867, x = 1.30, y = -1.637364675331517E+00  9.733118754352394E-01
step = 940, x = 1.40, y = -1.532633806061223E+00  1.134615914816403E+00
step =1014, x = 1.50, y = -1.406045188743373E+00  1.434684142405845E+00
step =1085, x = 1.60, y = -1.227570508060995E+00  2.379082947865465E+00
step =1186, x = 1.70, y =  1.986867061114394E+00 -6.739232474182355E-01
step =1246, x = 1.80, y =  1.917429871210668E+00 -7.162099941399320E-01
step =1298, x = 1.90, y =  1.843292936171062E+00 -7.685214701753735E-01
DoPri8: Dormand-Prince method (explicit, order 8(5,3), embedded)
Number of function evaluations   = 21553
Number of performed steps        = 1469
Number of accepted steps         = 1348
Number of rejected steps         = 121
y =  1.763234540172087E+00 -8.356886819301910E-01
h =  8.656983588595286E-04