Integrals 101 to 200

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2.2.2 Integrals 101 to 200

Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.

In this table,the column N.S. in the table below, which stands for normalized size is deﬁned as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table ﬁt, Mathematica was abbreviated to MMA.


Problem 101	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	B	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	99	99	101	112	0	445	0	0	-1
N.S.	1	1.00	1.02	1.13	0.00	4.49	0.00	0.00	-0.01
time (sec)	N/A	0.046	0.161	4.026	0.000	0.409	0.000	0.000	0.000


Problem 102	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	B	B	F	F(-2)	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	104	104	86	76	246	475	0	0	-1
N.S.	1	1.00	0.83	0.73	2.37	4.57	0.00	0.00	-0.01
time (sec)	N/A	0.048	0.058	8.348	0.305	0.381	0.000	0.000	0.000


Problem 103	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	B	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	137	137	136	141	0	803	0	0	-1
N.S.	1	1.00	0.99	1.03	0.00	5.86	0.00	0.00	-0.01
time (sec)	N/A	0.064	0.164	4.005	0.000	0.447	0.000	0.000	0.000


Problem 104	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	218	218	220	540	0	2430	1268	0	-1
N.S.	1	1.00	1.01	2.48	0.00	11.15	5.82	0.00	-0.00
time (sec)	N/A	0.346	0.203	10.983	0.000	0.450	0.823	0.000	0.000


Problem 105	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	186	186	212	437	0	1457	916	0	-1
N.S.	1	1.00	1.14	2.35	0.00	7.83	4.92	0.00	-0.01
time (sec)	N/A	0.278	0.170	6.086	0.000	0.486	0.579	0.000	0.000


Problem 106	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	150	150	168	290	0	784	610	0	-1
N.S.	1	1.00	1.12	1.93	0.00	5.23	4.07	0.00	-0.01
time (sec)	N/A	0.225	0.142	8.611	0.000	0.377	0.381	0.000	0.000


Problem 107	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	110	110	167	182	0	367	335	0	-1
N.S.	1	1.00	1.52	1.65	0.00	3.34	3.05	0.00	-0.01
time (sec)	N/A	0.164	0.142	13.897	0.000	0.380	0.219	0.000	0.000


Problem 108	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	64	64	105	100	0	141	143	0	-1
N.S.	1	1.00	1.64	1.56	0.00	2.20	2.23	0.00	-0.02
time (sec)	N/A	0.082	0.058	16.316	0.000	0.398	0.116	0.000	0.000


Problem 109	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	118	118	140	243	0	0	0	0	-1
N.S.	1	1.00	1.19	2.06	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.174	0.275	12.264	0.000	0.000	0.000	0.000	0.000


Problem 110	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F(-2)	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	110	110	161	270	0	0	0	0	-1
N.S.	1	1.00	1.46	2.45	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.160	0.538	19.842	0.000	0.000	0.000	0.000	0.000


Problem 111	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	B	B	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	92	92	81	176	215	413	0	0	-1
N.S.	1	1.00	0.88	1.91	2.34	4.49	0.00	0.00	-0.01
time (sec)	N/A	0.136	0.138	16.990	0.519	0.409	0.000	0.000	0.000


Problem 112	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	186	186	251	352	0	0	0	0	-1
N.S.	1	1.00	1.35	1.89	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.247	0.693	16.743	0.000	0.000	0.000	0.000	0.000


Problem 113	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	382	382	404	1293	0	4401	2518	0	-1
N.S.	1	1.00	1.06	3.38	0.00	11.52	6.59	0.00	-0.00
time (sec)	N/A	0.477	0.370	31.689	0.000	0.427	1.382	0.000	0.000


Problem 114	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	307	307	359	647	0	2620	1828	0	-1
N.S.	1	1.00	1.17	2.11	0.00	8.53	5.95	0.00	-0.00
time (sec)	N/A	0.405	0.327	41.013	0.000	0.427	0.988	0.000	0.000


Problem 115	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	262	262	296	638	0	1389	1173	0	-1
N.S.	1	1.00	1.13	2.44	0.00	5.30	4.48	0.00	-0.00
time (sec)	N/A	0.310	0.243	37.656	0.000	0.394	0.628	0.000	0.000


Problem 116	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	175	175	244	301	0	642	685	0	-1
N.S.	1	1.00	1.39	1.72	0.00	3.67	3.91	0.00	-0.01
time (sec)	N/A	0.240	0.187	37.677	0.000	0.378	0.394	0.000	0.000


Problem 117	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	114	114	168	180	0	239	282	0	-1
N.S.	1	1.00	1.47	1.58	0.00	2.10	2.47	0.00	-0.01
time (sec)	N/A	0.120	0.117	49.309	0.000	0.371	0.192	0.000	0.000


Problem 118	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	159	159	217	436	0	0	0	0	-1
N.S.	1	1.00	1.36	2.74	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.191	0.385	43.264	0.000	0.000	0.000	0.000	0.000


Problem 119	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F	F	F(-2)	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	186	186	327	0	0	0	0	0	-1
N.S.	1	1.00	1.76	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.227	0.850	0.178	0.000	0.000	0.000	0.000	0.000


Problem 120	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	164	164	266	339	0	0	0	0	-1
N.S.	1	1.00	1.62	2.07	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.264	0.784	42.894	0.000	0.000	0.000	0.000	0.000


Problem 121	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	297	297	601	0	0	0	0	0	-1
N.S.	1	1.00	2.02	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.399	1.346	0.207	0.000	0.000	0.000	0.000	0.000


Problem 122	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	377	377	562	875	0	4034	2876	0	-1
N.S.	1	1.00	1.49	2.32	0.00	10.70	7.63	0.00	-0.00
time (sec)	N/A	0.745	0.730	40.880	0.000	0.451	1.518	0.000	0.000


Problem 123	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	309	309	475	1058	0	2094	1889	0	-1
N.S.	1	1.00	1.54	3.42	0.00	6.78	6.11	0.00	-0.00
time (sec)	N/A	0.522	0.324	40.374	0.000	0.443	0.952	0.000	0.000


Problem 124	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	209	209	360	434	0	959	1027	0	-1
N.S.	1	1.00	1.72	2.08	0.00	4.59	4.91	0.00	-0.00
time (sec)	N/A	0.355	0.261	39.493	0.000	0.403	0.578	0.000	0.000


Problem 125	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	B	F	B	B	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	129	129	261	275	0	344	444	0	-1
N.S.	1	1.00	2.02	2.13	0.00	2.67	3.44	0.00	-0.01
time (sec)	N/A	0.180	0.163	43.267	0.000	0.367	0.312	0.000	0.000


Problem 126	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	192	192	308	674	0	0	0	0	-1
N.S.	1	1.00	1.60	3.51	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.214	0.518	47.607	0.000	0.000	0.000	0.000	0.000


Problem 127	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F	F	F(-2)	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	264	264	872	0	0	0	0	0	-1
N.S.	1	1.00	3.30	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.280	1.636	0.216	0.000	0.000	0.000	0.000	0.000


Problem 128	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	B	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	195	195	398	551	0	0	0	0	-1
N.S.	1	1.00	2.04	2.83	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.320	1.542	56.551	0.000	0.000	0.000	0.000	0.000


Problem 129	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	432	432	1309	0	0	0	0	0	-1
N.S.	1	1.00	3.03	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.553	7.418	0.205	0.000	0.000	0.000	0.000	0.000


Problem 130	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	213	213	151	194	0	0	0	0	-1
N.S.	1	1.00	0.71	0.91	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.303	0.214	58.105	0.000	0.000	0.000	0.000	0.000


Problem 131	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	145	145	109	134	0	0	0	0	-1
N.S.	1	1.00	0.75	0.92	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.238	0.216	49.329	0.000	0.000	0.000	0.000	0.000


Problem 132	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	141	141	102	130	0	0	0	0	-1
N.S.	1	1.00	0.72	0.92	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.203	0.119	50.621	0.000	0.000	0.000	0.000	0.000


Problem 133	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	69	69	61	66	0	0	0	0	-1
N.S.	1	1.00	0.88	0.96	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.110	0.096	51.918	0.000	0.000	0.000	0.000	0.000


Problem 134	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	58	58	49	60	0	0	0	0	-1
N.S.	1	1.00	0.84	1.03	0.00	0.00	0.00	0.00	-0.02
time (sec)	N/A	0.068	0.088	40.375	0.000	0.000	0.000	0.000	0.000


Problem 135	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	A	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	27	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.04
time (sec)	N/A	0.046	0.659	180.000	0.000	0.000	0.000	0.000	0.000


Problem 136	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	263	263	293	665	0	0	0	0	-1
N.S.	1	1.00	1.11	2.53	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.273	1.394	50.064	0.000	0.000	0.000	0.000	0.000


Problem 137	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	195	195	230	418	0	0	0	0	-1
N.S.	1	1.00	1.18	2.14	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.203	2.026	59.759	0.000	0.000	0.000	0.000	0.000


Problem 138	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	191	191	150	374	0	0	0	0	-1
N.S.	1	1.00	0.79	1.96	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.194	1.340	71.378	0.000	0.000	0.000	0.000	0.000


Problem 139	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	110	110	108	170	0	0	0	0	-1
N.S.	1	1.00	0.98	1.55	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.099	0.357	57.510	0.000	0.000	0.000	0.000	0.000


Problem 140	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	98	98	143	139	0	0	0	0	-1
N.S.	1	1.00	1.46	1.42	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.178	0.728	41.239	0.000	0.000	0.000	0.000	0.000


Problem 141	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	A	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	27	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.04
time (sec)	N/A	0.048	6.156	180.000	0.000	0.000	0.000	0.000	0.000


Problem 142	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	327	327	323	993	0	0	0	0	-1
N.S.	1	1.00	0.99	3.04	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.740	1.122	0.529	0.000	0.000	0.000	0.000	0.000


Problem 143	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	254	254	186	624	0	0	0	0	-1
N.S.	1	1.00	0.73	2.46	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.585	0.502	0.184	0.000	0.000	0.000	0.000	0.000


Problem 144	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	252	252	223	557	0	0	0	0	-1
N.S.	1	1.00	0.88	2.21	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.534	0.512	0.106	0.000	0.000	0.000	0.000	0.000


Problem 145	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	163	163	127	254	0	0	0	0	-1
N.S.	1	1.00	0.78	1.56	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.339	0.376	0.055	0.000	0.000	0.000	0.000	0.000


Problem 146	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	132	132	109	207	0	0	0	0	-1
N.S.	1	1.00	0.83	1.57	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.188	0.304	0.035	0.000	0.000	0.000	0.000	0.000


Problem 147	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	A	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	27	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.04
time (sec)	N/A	0.046	1.465	0.062	0.000	0.000	0.000	0.000	0.000


Problem 148	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F(-1)	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	431	431	424	1375	0	0	0	0	-1
N.S.	1	1.00	0.98	3.19	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.793	1.832	0.214	0.000	0.000	0.000	0.000	0.000


Problem 149	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F(-1)	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	360	360	330	860	0	0	0	0	-1
N.S.	1	1.00	0.92	2.39	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.575	1.279	0.137	0.000	0.000	0.000	0.000	0.000


Problem 150	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	B	F(-1)	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	352	352	272	777	0	0	0	0	-1
N.S.	1	1.00	0.77	2.21	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.613	1.011	0.119	0.000	0.000	0.000	0.000	0.000


Problem 151	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F(-1)	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	218	218	195	353	0	0	0	0	-1
N.S.	1	1.00	0.89	1.62	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.335	0.764	0.052	0.000	0.000	0.000	0.000	0.000


Problem 152	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	A	F(-1)	F	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	174	174	144	295	0	0	0	0	-1
N.S.	1	1.00	0.83	1.70	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.285	0.528	0.043	0.000	0.000	0.000	0.000	0.000


Problem 153	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	F(-1)	A	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	27	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.04
time (sec)	N/A	0.044	11.508	0.063	0.000	0.000	0.000	0.000	0.000


Problem 154	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	361	361	342	0	0	0	0	0	-1
N.S.	1	1.00	0.95	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.672	0.519	0.241	0.000	0.000	0.000	0.000	0.000


Problem 155	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	272	272	223	0	0	0	0	0	-1
N.S.	1	1.00	0.82	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.533	0.403	0.174	0.000	0.000	0.000	0.000	0.000


Problem 156	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	245	245	237	0	0	0	0	0	-1
N.S.	1	1.00	0.97	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.502	0.360	0.096	0.000	0.000	0.000	0.000	0.000


Problem 157	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	164	164	437	0	0	0	0	0	-1
N.S.	1	1.00	2.66	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.354	1.994	0.023	0.000	0.000	0.000	0.000	0.000


Problem 158	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	115	115	110	0	0	0	0	0	-1
N.S.	1	1.00	0.96	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.238	0.247	0.016	0.000	0.000	0.000	0.000	0.000


Problem 159	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.059	1.750	0.050	0.000	0.000	0.000	0.000	0.000


Problem 160	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	374	374	558	0	0	0	0	0	-1
N.S.	1	1.00	1.49	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.941	3.011	0.123	0.000	0.000	0.000	0.000	0.000


Problem 161	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	342	342	592	0	0	0	0	0	-1
N.S.	1	1.00	1.73	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.723	2.020	0.100	0.000	0.000	0.000	0.000	0.000


Problem 162	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	212	212	515	0	0	0	0	0	-1
N.S.	1	1.00	2.43	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.453	6.878	0.023	0.000	0.000	0.000	0.000	0.000


Problem 163	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	157	157	290	0	0	0	0	0	-1
N.S.	1	1.00	1.85	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.250	0.558	0.017	0.000	0.000	0.000	0.000	0.000


Problem 164	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.072	1.269	0.062	0.000	0.000	0.000	0.000	0.000


Problem 165	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F(-1)	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	469	469	968	0	0	0	0	0	-1
N.S.	1	1.00	2.06	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	1.420	9.936	0.121	0.000	0.000	0.000	0.000	0.000


Problem 166	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	408	408	1008	0	0	0	0	0	-1
N.S.	1	1.00	2.47	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	1.175	8.438	0.105	0.000	0.000	0.000	0.000	0.000


Problem 167	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	269	269	1846	0	0	0	0	0	-1
N.S.	1	1.00	6.86	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.709	8.142	0.025	0.000	0.000	0.000	0.000	0.000


Problem 168	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	186	186	494	0	0	0	0	0	-1
N.S.	1	1.00	2.66	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.390	2.909	0.016	0.000	0.000	0.000	0.000	0.000


Problem 169	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.066	0.721	0.066	0.000	0.000	0.000	0.000	0.000


Problem 170	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F(-2)	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	509	509	1523	0	0	0	0	0	-1
N.S.	1	1.00	2.99	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	1.365	11.922	0.102	0.000	0.000	0.000	0.000	0.000


Problem 171	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F(-2)	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	319	319	288	0	0	0	0	0	-1
N.S.	1	1.00	0.90	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.800	4.521	0.034	0.000	0.000	0.000	0.000	0.000


Problem 172	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F(-2)	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	230	230	748	0	0	0	0	0	-1
N.S.	1	1.00	3.25	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.429	5.629	0.016	0.000	0.000	0.000	0.000	0.000


Problem 173	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	F(-2)	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.068	0.750	0.057	0.000	0.000	0.000	0.000	0.000


Problem 174	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	326	326	319	0	0	0	0	0	-1
N.S.	1	1.00	0.98	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.444	0.393	0.175	0.000	0.000	0.000	0.000	0.000


Problem 175	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	217	217	205	0	0	0	0	0	-1
N.S.	1	1.00	0.94	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.314	0.288	0.130	0.000	0.000	0.000	0.000	0.000


Problem 176	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	214	214	216	0	0	0	0	0	-1
N.S.	1	1.00	1.01	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.295	0.244	0.093	0.000	0.000	0.000	0.000	0.000


Problem 177	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	113	113	306	0	0	0	0	0	-1
N.S.	1	1.00	2.71	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.154	1.008	0.025	0.000	0.000	0.000	0.000	0.000


Problem 178	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	F	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	92	92	0	0	0	0	0	0	-1
N.S.	1	1.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.087	0.030	0.016	0.000	0.000	0.000	0.000	0.000


Problem 179	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.063	0.054	0.050	0.000	0.000	0.000	0.000	0.000


Problem 180	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	374	374	396	0	0	0	0	0	-1
N.S.	1	1.00	1.06	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.453	1.323	0.159	0.000	0.000	0.000	0.000	0.000


Problem 181	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	269	269	265	0	0	0	0	0	-1
N.S.	1	1.00	0.99	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.315	0.746	0.111	0.000	0.000	0.000	0.000	0.000


Problem 182	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	262	262	265	0	0	0	0	0	-1
N.S.	1	1.00	1.01	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.327	1.094	0.083	0.000	0.000	0.000	0.000	0.000


Problem 183	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	155	155	314	0	0	0	0	0	-1
N.S.	1	1.00	2.03	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.156	5.298	0.023	0.000	0.000	0.000	0.000	0.000


Problem 184	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	128	128	145	0	0	0	0	0	-1
N.S.	1	1.00	1.13	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.233	0.355	0.018	0.000	0.000	0.000	0.000	0.000


Problem 185	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.073	0.064	0.047	0.000	0.000	0.000	0.000	0.000


Problem 186	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	444	444	615	0	0	0	0	0	-1
N.S.	1	1.00	1.39	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	1.187	2.516	0.163	0.000	0.000	0.000	0.000	0.000


Problem 187	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	333	333	391	0	0	0	0	0	-1
N.S.	1	1.00	1.17	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.937	1.763	0.122	0.000	0.000	0.000	0.000	0.000


Problem 188	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	328	328	391	0	0	0	0	0	-1
N.S.	1	1.00	1.19	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.813	2.391	0.086	0.000	0.000	0.000	0.000	0.000


Problem 189	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	216	216	687	0	0	0	0	0	-1
N.S.	1	1.00	3.18	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.497	4.739	0.025	0.000	0.000	0.000	0.000	0.000


Problem 190	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	165	165	219	0	0	0	0	0	-1
N.S.	1	1.00	1.33	0.00	0.00	0.00	0.00	0.00	-0.01
time (sec)	N/A	0.262	1.128	0.017	0.000	0.000	0.000	0.000	0.000


Problem 191	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	A	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.069	0.069	0.045	0.000	0.000	0.000	0.000	0.000


Problem 192	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	552	552	654	0	0	0	0	0	-1
N.S.	1	1.00	1.18	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	1.155	3.581	0.176	0.000	0.000	0.000	0.000	0.000


Problem 193	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	441	441	445	0	0	0	0	0	-1
N.S.	1	1.00	1.01	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.924	2.450	0.118	0.000	0.000	0.000	0.000	0.000


Problem 194	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	431	431	452	0	0	0	0	0	-1
N.S.	1	1.00	1.05	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.982	2.272	0.089	0.000	0.000	0.000	0.000	0.000


Problem 195	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	B	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	266	266	916	0	0	0	0	0	-1
N.S.	1	1.00	3.44	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.529	3.345	0.023	0.000	0.000	0.000	0.000	0.000


Problem 196	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	A	F	F	F(-2)	F	F	F
veriﬁed	N/A	Yes	NO	TBD	TBD	TBD	TBD	TBD	TBD
size	209	209	243	0	0	0	0	0	-1
N.S.	1	1.00	1.16	0.00	0.00	0.00	0.00	0.00	-0.00
time (sec)	N/A	0.428	0.569	0.017	0.000	0.000	0.000	0.000	0.000


Problem 197	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	N/A	A	A	A	A	F(-2)	F(-1)	A	A
veriﬁed	N/A	N/A	N/A	TBD	TBD	TBD	TBD	TBD	TBD
size	29	0	0	0	0	0	0	0	-1
N.S.	1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	-0.03
time (sec)	N/A	0.070	0.068	0.043	0.000	0.000	0.000	0.000	0.000


Problem 198	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	C	C	F	C	F(-2)	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	189	189	150	276	0	815	0	0	-1
N.S.	1	1.00	0.79	1.46	0.00	4.31	0.00	0.00	-0.01
time (sec)	N/A	0.100	0.234	0.143	0.000	0.111	0.000	0.000	0.000


Problem 199	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	C	A	F	C	F(-1)	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	169	169	180	218	0	517	0	0	-1
N.S.	1	1.00	1.07	1.29	0.00	3.06	0.00	0.00	-0.01
time (sec)	N/A	0.099	0.182	0.056	0.000	0.114	0.000	0.000	0.000


Problem 200	Optimal	Rubi	MMA	Maple	Maxima	Fricas	Sympy	Giac	Mupad

grade	A	A	C	C	F	C	F	F	F
veriﬁed	N/A	Yes	Yes	TBD	TBD	TBD	TBD	TBD	TBD
size	145	145	109	253	0	279	0	0	-1
N.S.	1	1.00	0.75	1.74	0.00	1.92	0.00	0.00	-0.01
time (sec)	N/A	0.083	0.352	0.048	0.000	0.104	0.000	0.000	0.000

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