Machine precision is 1.1102230246251568e-016
Beginning Adams solver root test.
0	0.5	0.5	0.62831853071795862
2	1.5493077741038221	0.4054803768614112	0.30661963271977283
4	1.742294596429921	0.3743267212643196	-0.12890384174769798
6	1.0055382397944168	0.41730609001451435	-0.55067965874121361
7.2883402424829775	-3.1849523018934178e-015	0.47485631008838808	-0.76010665852632853
Should have found a root near 7.288

Beginning Adams solver no root test.
0	0.5	0.5	0.62831853071795862
2	1.5493077741038221	0.4054803768614112	0.30661963271977283
4	1.742294596429921	0.3743267212643196	-0.12890384174769798
6	1.0055382397944168	0.41730609001451435	-0.55067965874121361
8	-0.74588732656237355	0.51298719385415892	-0.85370606303034191
10	-3.6281304248930493	0.63325477046925893	-1.0515213144003499
Should have proceeded to 10.0

Beginning stiff solver non-stiff system test.
0	0.5	0.5	0.62831853071795862
2	1.5491098637141683	0.40553383184262431	0.30677198609920253
4	1.7430215367391404	0.37424350216283175	-0.12832013367503328
6	1.0070521266131176	0.41707652647004545	-0.55073254604270616
7.2895041873210111	3.2959746043559335e-016	0.47475519527746995	-0.76066407404601255
Should have found a root near 7.288

Beginning no root stiff solver non-stiff system test.
0	0.5	0.5	0.62831853071795862
2	1.5491098637141683	0.40553383184262431	0.30677198609920253
4	1.7430215367391404	0.37424350216283175	-0.12832013367503328
6	1.0070521266131176	0.41707652647004545	-0.55073254604270616
8	-0.74530990578378264	0.51288638789853258	-0.85396196163898208
10	-3.630224722965063	0.63328305798451801	-1.0517517951045769
Should have proceeded to 10.0

Beginning stiff solver stiff system test.
0	1	0	0
1	0.96645974426149051	3.0746226088749535e-005	0.033509509512372422
2	0.94160760712206071	2.7017526345273639e-005	0.058365375351448347
3	0.92188160593158297	2.4382910291918935e-005	0.078094011158098137
4	0.90551337261870146	2.2404011190902854e-005	0.094464223370076497
4.376713332739163	0.90000000000000002	2.1777805440668583e-005	0.099978222194517519
Should have found y(1)=0.9 near 4.377

...and with jacobian...
0	1	0	0
1	0.96645974446465943	3.0746226145534692e-005	0.033509509309195093
2	0.94160760717450132	2.7017526349945626e-005	0.058365375299148606
3	0.92188160604793046	2.4382910317829561e-005	0.078094011041751593
4	0.90551337264506637	2.240401119265076e-005	0.094464223343740827
4.3767133353569809	0.90000000000000002	2.177780544213436e-005	0.099978222194557653
Should have found y(1)=0.9 near 4.377

Beginning RK range test.
0	0	1
0.78539816339744828	0.70708128465267572	0.70707636809260788
1.5707963267948966	0.99991993503028176	-7.6766758265595092e-006
2.3561944901923448	0.70701422156581017	-0.70702994584986811
3.1415926535897931	-1.5285283969407315e-005	-0.99984016872966364
3.9269908169872414	-0.70697894799349914	-0.70695248125718313
4.7123889803846897	-0.99976052309909558	2.2876560670636453e-005
5.497787143782138	-0.70689080486100586	0.70692800364611252
6.2831853071795862	3.0448991355350868e-005	0.99968119828793611
Last should be 6.283 0.0 1.0

Beginning RK one_step test.
3.7058605534259774	-0.53480184315256474	-0.84496482061944178
Should have gone to Pi so far.
4.3639400350516979	-0.93989698042059167	-0.34142430439772253
5.3201474586578206	-0.82089482364598421	0.57104018155859781