Record of Testing of Omnisode

ode.over(Overrides .ode files)

Time	Language	Ode File	Equation	Start	End	Actual End	H	H Reason	Machine Digits	Desired Correct Digits	Estimated Correct Digits	Min Correct Digits	Last Correct Digits	Min Est APFP Digits	Last Est APFP Digits	Terms	Type Sing Given	Given Least Sing	Ratio Least Sing	Three Term Least Sing	Six Term Least Sing	Iterations	Execution Time	Estimated Total Time	Last Save	diffeq program	diffeq results	Comment
2020-05-25T23:12:17-05:00	Ruby	add_c_lin	diff ( y , x , 1 ) = 0.3 + ( 0.1 * x + 0.2 ) ;	0.1	1.0	1.0000000000000007	0.001	Max H	16	12	12	15	15	NA	NA	30	No Pole	NA	NONE	NONE	NONE	900	0 Seconds	Done	310	add_c_lin diffeq.rb	add_c_lin Ruby results	OK
2020-05-25T23:12:18-05:00	Ruby	add_c_sin	diff ( y , x , 1 ) = 1.0 + sin ( x ) ;	-0.5	5.0	5.000044058057715	0.00016471896096738957	Pole	16	12	11	12	13	NA	NA	40	No Pole	NA	NONE	0.009999333346666106	NONE	30872	4 Seconds	Done	310	add_c_sin diffeq.rb	add_c_sin Ruby results	False singularity in three term test
2020-05-25T23:12:23-05:00	Ruby	add_full_lin	diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) + ( 0.1 * x + 0.2 ) ;	1.0	5.0	5.000202062985596	0.0006334263343587311	Pole	16	12	12	10	14	NA	NA	40	No Pole	NA	NONE	0.012654301065526334	NONE	4061	0 Seconds	Done	310	add_full_lin diffeq.rb	add_full_lin Ruby results	False singularity in three term test
2020-05-25T23:12:25-05:00	Ruby	add_lin_c	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + 0.3 ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	-2	16	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	add_lin_c diffeq.rb	add_lin_c Ruby results	OK
2020-05-25T23:12:26-05:00	Ruby	add_lin_full	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ;	-5.0	5.0	5.0005381676923335	0.0006342296689869027	Pole	16	12	11	10	12	NA	NA	40	No Pole	NA	NONE	0.006342296689869026	NONE	13081	2 Seconds	Done	310	add_lin_full diffeq.rb	add_lin_full Ruby results	Naturally has problem passing zero (RE) - Also False singularity in three term test
2020-05-25T23:12:28-05:00	Ruby	add_lin_lin	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	-2	15	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	add_lin_lin diffeq.rb	add_lin_lin Ruby results	Naturally has problem passing zero (RE)
2020-05-25T23:12:29-05:00	Ruby	add	diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ;	-5.0	5.0	5.000118199631519	0.00014070167292439797	Pole	16	12	11	4	11	NA	NA	40	No Pole	NA	NONE	0.007006322218501029	NONE	56430	6 Seconds	Done	310	add diffeq.rb	add Ruby results	Naturally has problem passing zero (RE) - Also False singularity in three term test
2020-05-25T23:12:36-05:00	Ruby	add_sin_c	diff ( y , x , 1 ) = sin ( x ) + 1.0 ;	-5.0	5.0	5.000055608111651	8.355807609918476e-05	Pole	16	12	11	9	13	NA	NA	40	No Pole	NA	NONE	0.007006322218501029	NONE	105672	12 Seconds	Done	310	add_sin_c diffeq.rb	add_sin_c Ruby results	False singularity in three term test
2020-05-25T23:12:49-05:00	Ruby	add_sub_sin_c_cos_c_tan_c	diff ( y , x , 1 ) = sin ( 0.1 ) + cos ( 0.05 ) - tan ( 0.02 ) ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	-2	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	0 Seconds	Done	310	add_sub_sin_c_cos_c_tan_c diffeq.rb	add_sub_sin_c_cos_c_tan_c Ruby results	Naturally has problem passing zero (RE)
2020-05-25T23:12:51-05:00	Ruby	arccos_sqrt	diff ( y , x , 1 ) = arccos ( sqrt ( 0.1 * x + 0.2 ) ) ;	0.0	0.5	0.5000000000000003	0.001	Max H	16	12	12	10	10	NA	NA	30	Real Sing	2.0	NONE	NONE	NONE	500	0 Seconds	Done	310	arccos_sqrt diffeq.rb	arccos_sqrt Ruby results	Real singularity missed
2020-05-25T23:12:52-05:00	Ruby	arcsin_c_arccos_c_arctan_c	diff ( y , x , 1 ) = arcsin ( 0.1 ) + arccos ( 0.1 ) + arctan ( 0.1 ) ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	-1	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	arcsin_c_arccos_c_arctan_c diffeq.rb	arcsin_c_arccos_c_arctan_c Ruby results	Naturally has problem passing zero (RE)
2020-05-25T23:12:53-05:00	Ruby	arcsin_sqrt	diff ( y , x , 1 ) = arcsin ( sqrt ( 0.1 * x + 0.2 ) ) ;	0.0	0.5	0.5000000000000003	0.001	Max H	16	12	12	9	9	NA	NA	30	Real Sing	2.0	NONE	NONE	NONE	500	0 Seconds	Done	310	arcsin_sqrt diffeq.rb	arcsin_sqrt Ruby results	OK
2020-05-25T23:12:54-05:00	Ruby	arctan_sqrt	diff ( y , x , 1 ) = arctan ( sqrt ( 0.1 * x + 0.2 ) ) ;	-1.0	0.5	0.5000000000000012	0.001	Max H	16	12	12	9	9	NA	NA	40	Real Sing	1.0	NONE	NONE	NONE	1500	1 Seconds	Done	310	arctan_sqrt diffeq.rb	arctan_sqrt Ruby results	OK
2020-05-25T23:12:56-05:00	Ruby	cosh_sqrt	diff ( y , x , 1 ) = cosh ( sqrt ( 0.1 * x + 0.2 ) ) ;	-1.9	-1.8	-1.799000000000011	0.001	Max H	16	12	13	7	7	NA	NA	30	Real Sing	0.10000000000000009	NONE	NONE	NONE	101	0 Seconds	Done	310	cosh_sqrt diffeq.rb	cosh_sqrt Ruby results	Real singularity missed
2020-05-25T23:12:57-05:00	Ruby	cos	diff ( y , x , 1 ) = cos ( x ) ;	0.0	5.0	5.000096667268269	9.999993333334665e-05	Pole	16	12	10	6	10	NA	NA	40	No Pole	NA	NONE	NONE	NONE	49992	5 Seconds	Done	310	cos diffeq.rb	cos Ruby results	OK
2020-05-25T23:13:03-05:00	Ruby	cos_sqrt_lin	diff ( y , x , 1 ) = cos ( sqrt ( 2.0 * x + 3.0 ) ) ;	-1.4	-1.3	-1.299000000000011	0.001	Max H	16	12	13	4	4	NA	NA	30	Real Sing	0.10000000000000009	NONE	NONE	NONE	101	0 Seconds	Done	310	cos_sqrt_lin diffeq.rb	cos_sqrt_lin Ruby results	Poor accuracy - believe subtraction error (one place) and Real singularity missed
2020-05-25T23:13:04-05:00	Ruby	diff0	diff ( y , x , 1 ) = y ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	12	14	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	diff0 diffeq.rb	diff0 Ruby results	OK
2020-05-25T23:13:05-05:00	Ruby	diff2	diff ( y , x , 3 ) = neg ( diff ( y , x , 1 ) ) ;	-1.0	1.0	1.0001320463803616	0.0001511797651250803	Pole	16	12	11	0	0	NA	NA	40	No Pole	NA	NONE	0.009999333346667867	NONE	7654	1 Seconds	Done	310	diff2 diffeq.rb	diff2 Ruby results	Naturally has problem passing zero (RE) and False singularity in three term test
2020-05-25T23:13:08-05:00	Ruby	diff_A	diff ( y , x , 2 ) = diff ( y , x , 1 ) ;	-5.0	-1.0	-0.9999999999999968	0.001	Max H	16	12	12	14	15	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4000	1 Seconds	Done	310	diff_A diffeq.rb	diff_A Ruby results	OK
2020-05-25T23:13:09-05:00	Ruby	diff_B	diff ( y , x , 2 ) = diff ( y , x , 1 ) ;	1.0	5.0	5.0000000000000036	0.001	Max H	16	12	12	12	16	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4000	1 Seconds	Done	310	diff_B diffeq.rb	diff_B Ruby results	OK
2020-05-25T23:13:10-05:00	Ruby	diff	diff ( y , x , 2 ) = diff ( y , x , 1 ) ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	12	14	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	diff diffeq.rb	diff Ruby results	OK
2020-05-25T23:13:12-05:00	Ruby	div_c_exp	diff ( y , x , 1 ) = 2.0 / exp ( x ) ;	1.0	5.0	5.0000000000000036	0.001	Max H	16	12	10	11	11	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4000	0 Seconds	Done	310	div_c_exp diffeq.rb	div_c_exp Ruby results	OK
2020-05-25T23:13:14-05:00	Ruby	div_c_lin	diff ( y , x , 1 ) = 2.0 / ( 0.2 * x + 0.3 ) ;	2.5	3.1	3.100999999999934	0.001	Max H	16	12	12	13	13	NA	NA	30	Real Sing	4.0	NONE	NONE	NONE	601	0 Seconds	Done	310	div_c_lin diffeq.rb	div_c_lin Ruby results	Missing Real Singularity
2020-05-25T23:13:14-05:00	Ruby	div_exp_exp	diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	11	13	14	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	div_exp_exp diffeq.rb	div_exp_exp Ruby results	OK
2020-05-25T23:13:17-05:00	Ruby	div_lin_c	diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) / 2.0 ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	-2	15	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	0 Seconds	Done	310	div_lin_c diffeq.rb	div_lin_c Ruby results	OK
2020-05-25T23:13:18-05:00	Ruby	div_lin_exp	diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) / exp ( x ) ;	1.0	5.0	5.0000000000000036	0.001	Max H	16	12	10	12	12	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4000	1 Seconds	Done	310	div_lin_exp diffeq.rb	div_lin_exp Ruby results	OK
2020-05-25T23:13:19-05:00	Ruby	div_lin_lin	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) / ( 0.2 * x + 0.3 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	15	NA	NA	30	Real Sing	1.6	NONE	1.5999999999999854	NONE	4900	0 Seconds	Done	310	div_lin_lin diffeq.rb	div_lin_lin Ruby results	OK
2020-05-25T23:13:20-05:00	Ruby	div	diff ( y , x , 1 ) = sin ( x ) / cos ( x ) ;	0.0	1.5	1.5009999999999455	0.001	Max H	16	12	12	13	13	NA	NA	30	Real Sing	0.07079632700005445	NONE	0.07079632679495124	NONE	1501	0 Seconds	Done	310	div diffeq.rb	div Ruby results	OK
2020-05-25T23:13:21-05:00	Ruby	div_sin_c	diff ( y , x , 1 ) = sin ( x ) / 2.0 ;	-5.0	5.0	5.000110178902134	0.00011663115950605595	Pole	16	12	11	9	12	NA	NA	40	No Pole	NA	NONE	0.007006322218501029	NONE	55931	5 Seconds	Done	310	div_sin_c diffeq.rb	div_sin_c Ruby results	False singularity in three term test
2020-05-25T23:13:28-05:00	Ruby	exp_sqrt	diff ( y , x , 1 ) = exp ( sqrt ( 0.1 * x + 0.2 ) ) ;	2.0	3.0	3.0009999999998898	0.001	Max H	16	12	12	5	5	NA	NA	40	Real Sing	4.0	NONE	NONE	NONE	1001	1 Seconds	Done	310	exp_sqrt diffeq.rb	exp_sqrt Ruby results	Poor accuracy - believe subtraction error (one place)
2020-05-25T23:13:29-05:00	Ruby	expt_c_c	diff ( y , x , 1 ) = expt ( 2.0 , 3.0 ) ;	-5.0	5.0	5.000000000000008	0.001	Max H	16	12	12	16	16	NA	NA	30	No Pole	NA	NONE	NONE	NONE	10000	1 Seconds	Done	310	expt_c_c diffeq.rb	expt_c_c Ruby results	OK
2020-05-25T23:13:30-05:00	Ruby	expt_c_lin	diff ( y , x , 1 ) = expt ( 2.0 , ( 0.2 * x + 0.3 ) ) ;	1.0	5.0	5.0000000000000036	0.001	Max H	16	12	12	13	14	NA	NA	30	Not Given	NA	NONE	NONE	NONE	4000	0 Seconds	Done	310	expt_c_lin diffeq.rb	expt_c_lin Ruby results	OK
2020-05-25T23:13:31-05:00	Ruby	expt_c_sin	diff ( y , x , 1 ) = expt ( 2.0 , sin ( x ) ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	Unknown	NA	NA	30	Not Given	NA	NONE	NONE	NONE	4900	1 Seconds	Done	310	expt_c_sin diffeq.rb	expt_c_sin Ruby results	OK
2020-05-25T23:13:33-05:00	Ruby	expt_lin_c	diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , 2.0 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	expt_lin_c diffeq.rb	expt_lin_c Ruby results	OK
2020-05-25T23:13:34-05:00	Ruby	expt_lin_lin	diff ( y , x , 1 ) = expt ( ( 0.1 * x + 0.2 ) , ( 0.2 * x + 0.3 ) ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	Unknown	NA	NA	30	Not Given	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	expt_lin_lin diffeq.rb	expt_lin_lin Ruby results	OK
2020-05-25T23:13:36-05:00	Ruby	expt_lin_sin	diff ( y , x , 1 ) = expt ( ( 0.2 * x + 0.3 ) , sin ( x ) ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	Unknown	NA	NA	30	Not Given	NA	NONE	NONE	NONE	4900	1 Seconds	Done	310	expt_lin_sin diffeq.rb	expt_lin_sin Ruby results	OK
2020-05-25T23:13:37-05:00	Ruby	expt_sin_c	diff ( y , x , 1 ) = expt ( sin ( 0.2 * x + 0.3 ) , 2.0 ) ;	0.1	0.2	0.2000000000000001	0.001	Max H	16	12	13	8	8	NA	NA	40	Not Given	NA	NONE	NONE	NONE	100	0 Seconds	Done	310	expt_sin_c diffeq.rb	expt_sin_c Ruby results	OK
2020-05-25T23:13:38-05:00	Ruby	expt_sin_lin	diff ( y , x , 1 ) = expt ( sin ( x ) , ( 0.2 * x + 0.3 ) ) ;	0.1	0.2	0.2000000000000001	0.001	Max H	16	12	13	Unknown	Unknown	NA	NA	30	Not Given	NA	NONE	NONE	NONE	100	0 Seconds	Done	310	expt_sin_lin diffeq.rb	expt_sin_lin Ruby results	OK
2020-05-25T23:13:39-05:00	Ruby	expt_sin_sin	diff ( y , x , 1 ) = expt ( sin ( 0.1 * x ) , sin ( 0.2 * x ) ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	Unknown	NA	NA	30	Not Given	NA	NONE	NONE	NONE	4900	2 Seconds	Done	310	expt_sin_sin diffeq.rb	expt_sin_sin Ruby results	OK
2020-05-25T23:13:41-05:00	Ruby	h2sin	diff ( y , x , 2 ) = sin ( x ) ;	0.1	5.0	5.000096115890323	0.00016136362663221634	Pole	16	12	11	13	13	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	4 Seconds	Done	310	h2sin diffeq.rb	h2sin Ruby results	False singularity in three term test
2020-05-25T23:13:46-05:00	Ruby	h3sin	diff ( y , x , 3 ) = sin ( x ) ;	0.1	1.5	1.5009999999999455	0.001	Max H	16	12	12	13	13	NA	NA	40	No Pole	NA	NONE	0.07056000402998741	NONE	1401	1 Seconds	Done	310	h3sin diffeq.rb	h3sin Ruby results	False singularity in three term test
2020-05-25T23:13:47-05:00	Ruby	h5h3	diff ( y , x , 5 ) = neg ( diff ( y , x , 3 ) ) ;	0.1	0.2	0.2000000000000001	0.001	Max H	16	12	13	15	16	NA	NA	40	No Pole	NA	NONE	0.09933466539753055	NONE	100	1 Seconds	Done	310	h5h3 diffeq.rb	h5h3 Ruby results	False singularity in three term test
2020-05-25T23:13:48-05:00	Ruby	lin_arccos	diff ( y , x , 1 ) = arccos ( 0.1 * x + 0.2 ) ;	-0.8	0.8	0.8000000000000013	0.001	Max H	16	12	12	10	10	NA	NA	30	Not Given	NA	NONE	NONE	NONE	1600	1 Seconds	Done	310	lin_arccos diffeq.rb	lin_arccos Ruby results	OK
2020-05-25T23:13:49-05:00	Ruby	lin_arcsin	diff ( y , x , 1 ) = arcsin ( 0.1 * x + 0.2 ) ;	0.1	0.2	0.2000000000000001	0.001	Max H	16	12	13	11	11	NA	NA	30	Not Given	NA	NONE	NONE	NONE	100	0 Seconds	Done	310	lin_arcsin diffeq.rb	lin_arcsin Ruby results	OK
2020-05-25T23:13:50-05:00	Ruby	lin_arctan	diff ( y , x , 1 ) = arctan ( 0.1 * x + 0.2 ) ;	-1.0	-0.6	-0.5999999999999996	0.001	Max H	16	12	12	9	9	NA	NA	30	Not Given	NA	NONE	NONE	NONE	400	0 Seconds	Done	310	lin_arctan diffeq.rb	lin_arctan Ruby results	OK
2020-05-25T23:13:51-05:00	Ruby	lin_cosh	diff ( y , x , 1 ) = cosh ( 2.0 * x + 3.0 ) ;	0.1	2.0	2.0009999999998906	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	0.24999861961752493	NONE	1901	0 Seconds	Done	310	lin_cosh diffeq.rb	lin_cosh Ruby results	False singularity in three term test
2020-05-25T23:13:52-05:00	Ruby	lin_exp	diff ( y , x , 1 ) = exp ( 0.1 * x + 0.2 ) ;	1.0	10.0	10.000999999999896	0.001	Max H	16	12	12	13	14	NA	NA	30	No Pole	NA	NONE	NONE	NONE	9001	1 Seconds	Done	310	lin_exp diffeq.rb	lin_exp Ruby results	OK
2020-05-25T23:13:53-05:00	Ruby	lin_ln	diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ;	20.0	30.0	30.00000000001222	0.001	Max H	16	12	12	9	12	NA	NA	30	Real Sing	22.0	NONE	22.00000000000018	NONE	10000	1 Seconds	Done	310	lin_ln diffeq.rb	lin_ln Ruby results	OK
2020-05-25T23:13:55-05:00	Ruby	lin_sin_cos	diff ( y , x , 1 ) = sin ( 2.0 * x + 3.0 ) + cos ( 1.5 * x - 2.0 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	11	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	lin_sin_cos diffeq.rb	lin_sin_cos Ruby results	OK
2020-05-25T23:13:56-05:00	Ruby	lin_sinh	diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ;	0.1	2.0	2.0009999999998906	0.001	Max H	16	12	12	13	13	NA	NA	40	No Pole	NA	NONE	0.24999861961752487	NONE	1901	0 Seconds	Done	310	lin_sinh diffeq.rb	lin_sinh Ruby results	False singularity in three term test
2020-05-25T23:13:57-05:00	Ruby	lin_tanh	diff ( y , x , 1 ) = tanh ( 3.0 * x + 1.0 ) ;	1.1	2.0	2.000999999999901	0.001	Max H	16	12	12	13	13	NA	NA	40	No Pole	NA	NONE	NONE	NONE	901	0 Seconds	Done	310	lin_tanh diffeq.rb	lin_tanh Ruby results	OK
2020-05-25T23:13:58-05:00	Ruby	lin_tan	diff ( y , x , 1 ) = tan ( 2.0 * x + 3.0 ) ;	-1.0	-0.9	-0.8999999999999999	0.001	Max H	16	12	13	15	15	NA	NA	30	Real Sing	0.1953981629999999	NONE	0.19539816339744812	NONE	100	0 Seconds	Done	310	lin_tan diffeq.rb	lin_tan Ruby results	OK
2020-05-25T23:13:59-05:00	Ruby	ln_c_exp_c_sqrt_c	diff ( y , x , 1 ) = ln ( 0.1 ) + exp ( 0.1 ) + sqrt ( 0.1 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	ln_c_exp_c_sqrt_c diffeq.rb	ln_c_exp_c_sqrt_c Ruby results	OK
2020-05-25T23:14:00-05:00	Ruby	ln_sqrt	diff ( y , x , 1 ) = ln ( sqrt ( 0.1 * x + 0.2 ) ) ;	10.0	11.0	11.000999999999445	0.001	Max H	16	12	12	10	10	NA	NA	40	Real Sing	12.0	NONE	NONE	NONE	1001	0 Seconds	Done	310	ln_sqrt diffeq.rb	ln_sqrt Ruby results	Poor Accuracy and Missing Real Singularity
2020-05-25T23:14:01-05:00	Ruby	mtest1	diff ( y1 , x , 1 ) = neg ( y2 ) + 1.0 ;	0.1	10.0	10.000109450727907	0.00016136362663221634	Pole	16	12	10	8	11	NA	NA	40	No Pole	NA	NONE	0.010795487863051892	NONE	53726	14 Seconds	Done	310	mtest1 diffeq.rb	mtest1 Ruby results	False singularity in three term test
ditto	ditto	ditto	diff ( y2 , x , 1 ) = y1 - 1.0 ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	10	8	11	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:16-05:00	Ruby	mtest2	diff ( y1 , x , 1 ) = neg ( y2 ) ;	0.2	0.8	0.8000000000000005	0.001	Max H	16	12	12	0	0	NA	NA	40	No Pole	NA	NONE	NONE	NONE	600	0 Seconds	Done	310	mtest2 diffeq.rb	mtest2 Ruby results	Poor Accuracy -- Possibly BAD TEST
ditto	ditto	ditto	diff ( y2 , x , 1 ) = y1 ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	12	0	0	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:17-05:00	Ruby	mtest3	diff ( y2 , x , 1 ) = neg ( y1 ) + 1.0 ;	0.1	0.5	0.5000000000000003	0.001	Max H	16	12	12	15	15	NA	NA	40	No Pole	NA	NONE	0.09933466539753065	NONE	400	0 Seconds	Done	310	mtest3 diffeq.rb	mtest3 Ruby results	False singularity in three term test
ditto	ditto	ditto	diff ( y1 , x , 1 ) = y2 - 1.0 ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	12	15	15	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:18-05:00	Ruby	mtest4	diff ( y2 , x , 3 ) = neg ( cos ( x ) ) ;	0.1	5.0	5.000096115889919	0.00016136362663221634	Pole	16	12	11	10	12	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	15 Seconds	Done	310	mtest4 diffeq.rb	mtest4 Ruby results	False singularity in three term test
ditto	ditto	ditto	diff ( y1 , x , 1 ) = neg ( y2 ) ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	11	10	12	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:34-05:00	Ruby	mtest5	diff ( y1 , x , 1 ) = neg ( y2 ) ;	0.5	5.0	5.0000000000000036	0.001	Max H	16	12	11	10	14	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4500	1 Seconds	Done	310	mtest5 diffeq.rb	mtest5 Ruby results	OK
ditto	ditto	ditto	diff ( y2 , x , 2 ) = diff ( y1 , x , 1 ) ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	12	10	14	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:36-05:00	Ruby	mtest6	diff ( x1 , t , 1 ) = 4.0 * x2 - 2.0 * diff ( x2 , t , 1 ) - 2.0 * x1 ;	1.5	8.0	8.00000000000106	0.001	Max H	16	12	11	1	1	NA	NA	40	Not Given	NA	NONE	NONE	NONE	6500	3 Seconds	Done	310	mtest6 diffeq.rb	mtest6 Ruby results	Poor Accuracy -- Possibly BAD TEST
ditto	ditto	ditto	diff ( x2 , t , 2 ) = 3.0 * diff ( x2 , t , 1 ) - 2.0 * x2 - diff ( x1 , t , 2 ) - diff ( x1 , t , 1 ) + x1 ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	11	1	1	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:39-05:00	Ruby	mtest7	diff ( y2 , x , 5 ) = y1 ;	0.1	0.7	0.7000000000000005	0.001	Max H	16	12	12	15	15	NA	NA	40	No Pole	NA	NONE	0.09933466539753058	NONE	600	0 Seconds	Done	310	mtest7 diffeq.rb	mtest7 Ruby results	False singularity in three term test
ditto	ditto	ditto	diff ( y1 , x , 1 ) = neg ( diff ( y2 , x , 4 ) ) ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	12	15	15	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:41-05:00	Ruby	mtest8	diff ( y2 , x , 4 ) = y1 - 1.0 ;	0.1	1.4	1.4009999999999565	0.001	Max H	16	12	12	14	14	NA	NA	40	No Pole	NA	NONE	0.09933466539753054	NONE	1301	1 Seconds	Done	310	mtest8 diffeq.rb	mtest8 Ruby results	False singularity in three term test
ditto	ditto	ditto	diff ( y1 , x , 1 ) = neg ( diff ( y2 , x , 3 ) ) ;	ditto	ditto	ditto	ditto	ditto	ditto	ditto	12	14	14	NA	NA	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto	ditto
2020-05-25T23:14:42-05:00	Ruby	mult2	diff ( y , x , 1 ) = sin ( x ) * cos ( x ) ;	0.1	1.0	1.0000001291012361	5.089696558970337e-07	Pole	16	12	11	11	11	NA	NA	30	No Pole	NA	NONE	0.004994730700912014	NONE	422397	1 Minutes 41 Seconds	Done	310	mult2 diffeq.rb	mult2 Ruby results	False singularity in three term test
2020-05-25T23:16:24-05:00	Ruby	mult_c_lin	diff ( y , x , 1 ) = 2.0 * ( 0.2 * x + 0.3 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	mult_c_lin diffeq.rb	mult_c_lin Ruby results	OK
2020-05-25T23:16:25-05:00	Ruby	mult_c_sin	diff ( y , x , 1 ) = 2.0 * sin ( x ) ;	0.1	5.0	5.000097015312974	0.00016136366893411197	Pole	16	12	11	9	11	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	2 Seconds	Done	310	mult_c_sin diffeq.rb	mult_c_sin Ruby results	False singularity in three term test
2020-05-25T23:16:29-05:00	Ruby	mult_div_sinh_cosh_tanh	diff ( y , x , 1 ) = sinh ( 0.1 ) * cosh ( 0.05 ) / tanh ( 0.02 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	mult_div_sinh_cosh_tanh diffeq.rb	mult_div_sinh_cosh_tanh Ruby results	OK
2020-05-25T23:16:30-05:00	Ruby	mult_lin_c	diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * 2.0 ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	mult_lin_c diffeq.rb	mult_lin_c Ruby results	OK
2020-05-25T23:16:31-05:00	Ruby	mult_lin_lin	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) * ( 0.2 * x + 0.3 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	mult_lin_lin diffeq.rb	mult_lin_lin Ruby results	OK
2020-05-25T23:16:32-05:00	Ruby	mult_lin_sin	diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	10	12	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	1 Seconds	Done	310	mult_lin_sin diffeq.rb	mult_lin_sin Ruby results	OK
2020-05-25T23:16:33-05:00	Ruby	mult	diff ( y , x , 1 ) = x * x ;	0.1	10.0	10.000999999999896	0.001	Max H	16	12	12	13	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	9901	1 Seconds	Done	310	mult diffeq.rb	mult Ruby results	OK
2020-05-25T23:16:34-05:00	Ruby	mult_sin_c	diff ( y , x , 1 ) = sin ( x ) * 2.0 ;	0.1	5.0	5.000097015312974	0.00016136366893411197	Pole	16	12	11	9	11	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	2 Seconds	Done	310	mult_sin_c diffeq.rb	mult_sin_c Ruby results	False singularity in three term test
2020-05-25T23:16:37-05:00	Ruby	mult_sin_lin	diff ( y , x , 1 ) = sin ( x ) * ( 0.2 * x + 0.3 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	10	12	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	mult_sin_lin diffeq.rb	mult_sin_lin Ruby results	OK
2020-05-25T23:16:39-05:00	Ruby	mult_sin_sin	diff ( y , x , 1 ) = sin ( x ) * sin ( x ) ;	0.1	0.2	0.2000000000000001	0.001	Max H	16	12	13	14	15	NA	NA	30	No Pole	NA	NONE	0.0973545855771626	NONE	100	0 Seconds	Done	310	mult_sin_sin diffeq.rb	mult_sin_sin Ruby results	False singularity in three term test
2020-05-25T23:16:39-05:00	Ruby	nonlinear1	diff ( y , x , 1 ) = y * y ;	0.0	0.5	0.5000000000000003	0.001	Max H	16	12	13	15	15	NA	NA	20	Real Sing	0.5099999999999996	0.51	0.509999999999999	NONE	500	0 Seconds	Done	310	nonlinear1 diffeq.rb	nonlinear1 Ruby results	OK
2020-05-25T23:16:40-05:00	Ruby	nonlinear2	diff ( y , x , 1 ) = y * y ;	0.0	0.2	0.20000000000000015	0.001	Max H	16	12	13	15	15	NA	NA	20	Real Sing	0.30999999999999983	0.30999999999999966	0.3099999999999989	NONE	200	0 Seconds	Done	310	nonlinear2 diffeq.rb	nonlinear2 Ruby results	OK
2020-05-25T23:16:41-05:00	Ruby	sing1	diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ;	-2.0	-1.5	-1.4990000000000552	0.001	Max H	16	12	12	13	13	NA	NA	30	Complex Sing	1.5000003333333514	NONE	1.500011111528948	1.500000795076373	501	1 Seconds	Done	310	sing1 diffeq.rb	sing1 Ruby results	OK
2020-05-25T23:16:42-05:00	Ruby	sing2	diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ;	-2.0	-1.5	-1.4990000000000552	0.001	Max H	16	12	12	14	14	NA	NA	20	Complex Sing	1.8027756377320405	NONE	NONE	1.8027756377320499	501	0 Seconds	Done	310	sing2 diffeq.rb	sing2 Ruby results	OK
2020-05-25T23:16:43-05:00	Ruby	sing3	diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / x ;	-2.0	-0.7	-0.6990000000001099	0.001	Max H	16	12	12	13	13	NA	NA	20	Real Sing	0.7000000000001099	NONE	0.7000000000001111	NONE	1301	0 Seconds	Done	310	sing3 diffeq.rb	sing3 Ruby results	OK
2020-05-25T23:16:44-05:00	Ruby	sing4	diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ;	-2.0	-1.0	-0.9990000000001101	0.001	Max H	16	12	12	13	13	NA	NA	30	Complex Sing	1.4142135623731729	NONE	NONE	1.421302219797129	1001	0 Seconds	Done	310	sing4 diffeq.rb	sing4 Ruby results	OK
2020-05-25T23:16:45-05:00	Ruby	sing5	diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ;	-1.0	-0.7	-0.6999999999999997	0.001	Max H	16	12	13	14	14	NA	NA	20	Real Sing	0.7099999999999997	NONE	0.7100000000000014	NONE	300	0 Seconds	Done	310	sing5 diffeq.rb	sing5 Ruby results	OK
2020-05-25T23:16:46-05:00	Ruby	sing6	diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ;	2.0	3.0	3.0009999999998898	0.001	Max H	16	12	12	13	13	NA	NA	20	Real Sing	3.00000000000011	NONE	3.000000000000108	NONE	1001	0 Seconds	Done	310	sing6 diffeq.rb	sing6 Ruby results	OK
2020-05-25T23:16:47-05:00	Ruby	sing7	diff ( y , x , 1 ) = neg ( 5.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ;	2.0	3.0	3.0009999999998898	0.001	Max H	16	12	12	13	13	NA	NA	20	Real Sing	3.00000000000011	NONE	3.000000000000122	NONE	1001	0 Seconds	Done	310	sing7 diffeq.rb	sing7 Ruby results	OK
2020-05-25T23:16:48-05:00	Ruby	sinh_sqrt	diff ( y , x , 1 ) = sinh ( sqrt ( 0.1 * x + 0.2 ) ) ;	2.0	3.0	3.0009999999998898	0.001	Max H	16	12	12	5	5	NA	NA	40	Real Sing	4.0	NONE	NONE	NONE	1001	0 Seconds	Done	310	sinh_sqrt diffeq.rb	sinh_sqrt Ruby results	Poor Accuracy and Missing Real Singularity
2020-05-25T23:16:49-05:00	Ruby	sin	diff ( y , x , 1 ) = sin ( x ) ;	0.0	1.0	1.000099333933377	9.999993333334665e-05	Pole	16	12	12	13	13	NA	NA	40	No Pole	NA	NONE	NONE	NONE	9992	1 Seconds	Done	310	sin diffeq.rb	sin Ruby results	OK
2020-05-25T23:16:51-05:00	Ruby	sin_lg_h	diff ( y , x , 1 ) = sin ( x ) ;	0.0	5.0	5.0009999999999994	1.0	Min H (Pole)	16	12	13	16	16	NA	NA	40	No Pole	NA	NONE	0.0009999993333334664	NONE	6	0 Seconds	Done	310	sin_lg_h diffeq.rb	sin_lg_h Ruby results	False singularity in three term test
2020-05-25T23:16:52-05:00	Ruby	sin_sqrt_lin	diff ( y , x , 1 ) = sin ( sqrt ( 2.0 * x + 3.0 ) ) ;	2.0	3.0	3.0009999999998898	0.001	Max H	16	12	12	4	4	NA	NA	40	Real Sing	3.5	NONE	NONE	NONE	1001	0 Seconds	Done	310	sin_sqrt_lin diffeq.rb	sin_sqrt_lin Ruby results	Poor Accuracy And Missing Real Singularity
2020-05-25T23:16:53-05:00	Ruby	sqrt	diff ( y , x , 1 ) = sqrt ( x ) ;	0.1	0.2	0.2000000000000001	0.001	Max H	16	12	13	15	15	NA	NA	40	Real Sing	0.1	NONE	0.10000000000000069	NONE	100	0 Seconds	Done	310	sqrt diffeq.rb	sqrt Ruby results	OK
2020-05-25T23:16:54-05:00	Ruby	sqrt_tone	diff ( y , x , 1 ) = sqrt ( x ) ;	0.5	0.6	0.6000000000000001	0.001	Max H	16	12	13	15	16	NA	NA	40	Real Sing	0.5	NONE	0.4999999999999888	NONE	100	0 Seconds	Done	310	sqrt_tone diffeq.rb	sqrt_tone Ruby results	OK
2020-05-25T23:16:54-05:00	Ruby	sqrt_sqrt	diff ( y , x , 1 ) = sqrt ( sqrt ( 0.1 * x + 0.2 ) ) ;	0.1	0.5	0.5000000000000003	0.001	Max H	16	12	12	15	16	NA	NA	40	Real Sing	2.1	NONE	2.1000000000000196	NONE	400	0 Seconds	Done	310	sqrt_sqrt diffeq.rb	sqrt_sqrt Ruby results	OK
2020-05-25T23:16:55-05:00	Ruby	sqrt_sqrt_tone	diff ( y , x , 1 ) = sqrt ( sqrt ( 0.1 * x + 0.2 ) ) ;	0.5	1.5	1.5009999999999453	0.001	Max H	16	12	12	14	14	NA	NA	40	Real Sing	2.5	NONE	2.5000000000000244	NONE	1001	0 Seconds	Done	310	sqrt_sqrt_tone diffeq.rb	sqrt_sqrt_tone Ruby results	OK
2020-05-25T23:16:57-05:00	Ruby	sqrt_sqrt_tzero	diff ( y , x , 1 ) = sqrt ( sqrt ( 0.1 * x + 0.2 ) ) ;	0.0	0.5	0.5000000000000003	0.001	Max H	16	12	12	15	16	NA	NA	40	Real Sing	2.0	NONE	1.9999999999999978	NONE	500	0 Seconds	Done	310	sqrt_sqrt_tzero diffeq.rb	sqrt_sqrt_tzero Ruby results	OK
2020-05-25T23:16:57-05:00	Ruby	sub_c_lin	diff ( y , x , 1 ) = 0.3 - ( 0.1 * x + 0.2 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	0	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	sub_c_lin diffeq.rb	sub_c_lin Ruby results	OK
2020-05-25T23:16:58-05:00	Ruby	sub_c_sin	diff ( y , x , 1 ) = 1.0 - sin ( x ) ;	0.1	5.0	5.000099713585288	0.00016136379583993194	Pole	16	12	11	13	13	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	2 Seconds	Done	310	sub_c_sin diffeq.rb	sub_c_sin Ruby results	False singularity in three term test
2020-05-25T23:17:02-05:00	Ruby	sub_full_lin	diff ( y , x , 1 ) = sin ( 0.3 * x + 0.1 ) - ( 0.1 * x + 0.2 ) ;	0.1	5.0	5.000202062985605	0.0006334263343587311	Pole	16	12	11	14	14	NA	NA	40	No Pole	NA	NONE	0.012654301065525595	NONE	4961	0 Seconds	Done	310	sub_full_lin diffeq.rb	sub_full_lin Ruby results	False singularity in three term test
2020-05-25T23:17:03-05:00	Ruby	sub_lin_c	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) - 0.3 ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	0	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	sub_lin_c diffeq.rb	sub_lin_c Ruby results	OK
2020-05-25T23:17:04-05:00	Ruby	sub_lin_lin	diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) - ( 0.3 * x + 0.1 ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	13	NA	NA	30	No Pole	NA	NONE	NONE	NONE	4900	0 Seconds	Done	310	sub_lin_lin diffeq.rb	sub_lin_lin Ruby results	OK
2020-05-25T23:17:05-05:00	Ruby	sub_lin_sin	diff ( y , x , 1 ) = ( 0.1 * x + 1.0 ) - sin ( x ) ;	0.1	5.0	5.000099713585288	0.00016136379583993194	Pole	16	12	11	13	13	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	3 Seconds	Done	310	sub_lin_sin diffeq.rb	sub_lin_sin Ruby results	False singularity in three term test
2020-05-25T23:17:08-05:00	Ruby	sub	diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ;	0.0	10.0	10.000127965463795	0.00017415527595197452	Pole	16	12	11	11	13	NA	NA	40	No Pole	NA	NONE	0.004994609701522455	NONE	53713	7 Seconds	Done	310	sub diffeq.rb	sub Ruby results	False singularity in three term test
2020-05-25T23:17:15-05:00	Ruby	sub_sin_c	diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ;	0.1	5.0	5.000099713585288	0.00016136379583993194	Pole	16	12	11	10	13	NA	NA	40	No Pole	NA	NONE	0.010795487863109021	NONE	22740	2 Seconds	Done	310	sub_sin_c diffeq.rb	sub_sin_c Ruby results	False singularity in three term test
2020-05-25T23:17:19-05:00	Ruby	sub_sin_cos	diff ( y , x , 1 ) = neg ( sin ( x ) ) - cos ( x ) ;	0.1	5.0	5.0001466111416635	0.000193505736774636	Pole	16	12	11	10	12	NA	NA	40	No Pole	NA	NONE	0.004994609701522454	NONE	22482	3 Seconds	Done	310	sub_sin_cos diffeq.rb	sub_sin_cos Ruby results	False singularity in three term test
2020-05-25T23:17:22-05:00	Ruby	tanh_sqrt	diff ( y , x , 1 ) = tanh ( sqrt ( 2.0 * x + 3.0 ) ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	Unknown	NA	NA	30	Real Sing	1.6	NONE	NONE	NONE	4900	2 Seconds	Done	310	tanh_sqrt diffeq.rb	tanh_sqrt Ruby results	Missing Real Singularity
2020-05-25T23:17:25-05:00	Ruby	tan_sqrt	diff ( y , x , 1 ) = ( 1.0 + ( tan ( sqrt ( 2.0 * x + 1.0 ) ) * tan ( sqrt ( 2.0 * x + 1.0 ) ) ) ) / sqrt ( 2.0 * x + 1.0 ) ;	1.4	2.1	2.1009999999999227	0.001	Max H	16	12	11	3	3	NA	NA	40	Real Sing	3.4	NONE	NONE	NONE	701	1 Seconds	Done	310	tan_sqrt diffeq.rb	tan_sqrt Ruby results	Missing Real Singularity
2020-05-25T23:17:27-05:00	Ruby	tan_sqrt_lin	diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ;	0.1	5.0	5.000000000000004	0.001	Max H	16	12	12	Unknown	Unknown	NA	NA	40	Real Sing	1.6	NONE	NONE	NONE	4900	3 Seconds	Done	310	tan_sqrt_lin diffeq.rb	tan_sqrt_lin Ruby results	Missing Real Singularity
2020-05-25T23:17:31-05:00	Ruby	tan	diff ( y , x , 1 ) = tan ( x ) ;	0.1	1.5	1.5009999999999455	0.001	Max H	16	12	12	13	13	NA	NA	40	Real Sing	0.07079632700005445	NONE	0.07079632679495274	NONE	1401	0 Seconds	Done	310	tan diffeq.rb	tan Ruby results	OK
2020-05-25T23:17:32-05:00	Ruby	div_c_lin_back	diff ( y , x , 1 ) = 2.0 / ( 0.2 * x + 0.3 ) ;	3.1	2.5	2.4990000000000663	-0.001	Max H	16	12	12	13	13	NA	NA	30	Real Sing	4.000000000000066	NONE	NONE	NONE	601	0 Seconds	0 Seconds	310	div_c_lin_back diffeq.rb	div_c_lin_back Ruby results	Missing Real Singularity
2020-05-25T23:17:33-05:00	Ruby	sin_back	diff ( y , x , 1 ) = sin ( x ) ;	-0.1	-1.0	-1.0000000000000007	-0.001	Max H	16	12	12	15	15	NA	NA	40	No Pole	NA	NONE	0.10031453265272965	NONE	900	0 Seconds	0 Seconds	310	sin_back diffeq.rb	sin_back Ruby results	False singularity in three term test
2020-05-25T23:17:34-05:00	Ruby	sing1_back	diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ;	-1.5	-2.0	-2.000999999999945	-0.001	Max H	16	12	12	13	13	NA	NA	20	Complex Sing	1.5010003331112223	NONE	1.501006662315681	1.5010001926423853	501	0 Seconds	0 Seconds	310	sing1_back diffeq.rb	sing1_back Ruby results	OK
2020-05-25T23:17:34-05:00	Ruby	sing2_back	diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ;	-1.5	-2.0	-2.000999999999945	-0.001	Max H	16	12	13	14	14	NA	NA	20	Complex Sing	1.8036077733254534	NONE	NONE	1.8036077733254519	501	0 Seconds	0 Seconds	310	sing2_back diffeq.rb	sing2_back Ruby results	OK
2020-05-25T23:17:35-05:00	Ruby	sing3_back	diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / x ;	-0.7	-2.0	-2.00099999999989	-0.001	Max H	16	12	11	12	12	NA	NA	20	Real Sing	0.701	NONE	0.7010000000000022	NONE	1301	0 Seconds	0 Seconds	310	sing3_back diffeq.rb	sing3_back Ruby results	OK
2020-05-25T23:17:36-05:00	Ruby	sing4_back	diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 1.0 ) / ( x * x + 1.0 ) ;	-1.0	-2.0	-2.0009999999998898	-0.001	Max H	16	12	11	13	13	NA	NA	40	Complex Sing	1.4149208458426217	NONE	NONE	1.414920845842616	1001	0 Seconds	0 Seconds	310	sing4_back diffeq.rb	sing4_back Ruby results	OK
2020-05-25T23:17:37-05:00	Ruby	sing5_back	diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ;	-0.7	-1.0	-1.0000000000000002	-0.001	Max H	16	12	12	14	14	NA	NA	20	Real Sing	0.701	NONE	0.7010000000000035	NONE	300	0 Seconds	0 Seconds	310	sing5_back diffeq.rb	sing5_back Ruby results	OK
2020-05-25T23:17:38-05:00	Ruby	sing6_back	diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ;	3.0	2.0	1.9990000000001102	-0.001	Max H	16	12	12	13	13	NA	NA	20	Real Sing	3.001	NONE	3.0010000000000097	NONE	1001	0 Seconds	0 Seconds	310	sing6_back diffeq.rb	sing6_back Ruby results	OK
2020-05-25T23:17:39-05:00	Ruby	sing7_back	diff ( y , x , 1 ) = neg ( 5.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ;	3.0	2.0	1.9990000000001102	-0.001	Max H	16	12	11	12	12	NA	NA	30	Real Sing	3.001	NONE	3.0010000000000026	NONE	1001	1 Seconds	1 Seconds	310	sing7_back diffeq.rb	sing7_back Ruby results	OK