2.2.10 Integrals 901 to 1000

Detailed conclusion table per each integral is given by the 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 as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 901

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

14 14 16 12 14 14 14 14 14

N.S.

1 1.00 1.14 0.86 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.418 0.136 0.042 0.215 0.251 0.287 0.333 20.753

Problem 902

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

14 14 16 12 14 24 14 14 14

N.S.

1 1.00 1.14 0.86 1.00 1.71 1.00 1.00 1.00

time (sec)

N/A 0.388 0.194 0.039 0.225 0.252 0.306 0.329 20.188

Problem 903

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

17 17 19 13 15 15 15 15 15

N.S.

1 1.00 1.12 0.76 0.88 0.88 0.88 0.88 0.88

time (sec)

N/A 0.327 0.004 0.040 0.219 0.254 1.240 0.327 20.414

Problem 904

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

17 17 19 13 15 25 15 15 15

N.S.

1 1.00 1.12 0.76 0.88 1.47 0.88 0.88 0.88

time (sec)

N/A 0.295 0.004 0.037 0.232 0.250 0.529 0.308 20.177

Problem 905

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

10 10 12 10 12 12 8 12 12

N.S.

1 1.00 1.20 1.00 1.20 1.20 0.80 1.20 1.20

time (sec)

N/A 0.210 0.008 0.012 0.203 0.232 0.182 0.324 20.252

Problem 906

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

12 12 14 12 14 14 12 14 14

N.S.

1 1.00 1.17 1.00 1.17 1.17 1.00 1.17 1.17

time (sec)

N/A 0.212 0.007 0.013 0.178 0.228 0.191 0.302 20.163

Problem 907

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

10 10 12 10 12 12 8 12 12

N.S.

1 1.00 1.20 1.00 1.20 1.20 0.80 1.20 1.20

time (sec)

N/A 0.173 0.007 0.010 0.184 0.230 0.204 0.325 20.477

Problem 908

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

14 14 16 14 16 16 12 16 16

N.S.

1 1.00 1.14 1.00 1.14 1.14 0.86 1.14 1.14

time (sec)

N/A 0.180 0.008 0.010 0.177 0.243 0.238 0.323 21.677

Problem 909

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

12 12 14 12 14 25 12 14 14

N.S.

1 1.00 1.17 1.00 1.17 2.08 1.00 1.17 1.17

time (sec)

N/A 0.173 0.010 0.010 0.176 0.238 0.237 0.306 21.461

Problem 910

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

14 14 16 14 16 27 14 16 16

N.S.

1 1.00 1.14 1.00 1.14 1.93 1.00 1.14 1.14

time (sec)

N/A 0.181 0.009 0.013 0.175 0.234 0.280 0.295 19.764

Problem 911

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

47 47 75 0 0 135 0 0 0

N.S.

1 1.00 1.60 0.00 0.00 2.87 0.00 0.00 0.00

time (sec)

N/A 0.246 0.284 0.000 0.000 1.105 0.000 0.000 0.000

Problem 912

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

48 48 82 0 0 146 0 0 0

N.S.

1 1.00 1.71 0.00 0.00 3.04 0.00 0.00 0.00

time (sec)

N/A 0.246 0.280 0.000 0.000 1.076 0.000 0.000 0.000

Problem 913

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F(-1) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

169 169 364 0 0 0 0 0 0

N.S.

1 1.00 2.15 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.413 0.892 0.000 0.000 0.000 0.000 0.000 0.000

Problem 914

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F F(-1) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

268 309 1464 0 0 0 0 0 0

N.S.

1 1.15 5.46 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.501 3.421 0.000 0.000 0.000 0.000 0.000 0.000

Problem 915

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

41 45 42 28 27 25 37 27 27

N.S.

1 1.10 1.02 0.68 0.66 0.61 0.90 0.66 0.66

time (sec)

N/A 0.270 0.032 1.026 0.264 0.366 3.136 0.316 0.034

Problem 916

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 30 26 21 20 20 24 20 22

N.S.

1 1.15 1.00 0.81 0.77 0.77 0.92 0.77 0.85

time (sec)

N/A 0.216 0.032 0.007 0.268 0.343 0.951 0.330 0.055

Problem 917

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

42 36 42 31 30 30 39 30 42

N.S.

1 0.86 1.00 0.74 0.71 0.71 0.93 0.71 1.00

time (sec)

N/A 0.258 0.031 1.109 0.265 0.347 4.037 0.337 0.026

Problem 918

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 22 48 50 0 75 0 44 17

N.S.

1 1.10 2.40 2.50 0.00 3.75 0.00 2.20 0.85

time (sec)

N/A 0.158 0.023 1.063 0.000 0.332 0.000 0.321 19.265

Problem 919

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 22 52 61 0 84 0 40 21

N.S.

1 1.10 2.60 3.05 0.00 4.20 0.00 2.00 1.05

time (sec)

N/A 0.159 0.022 1.136 0.000 0.348 0.000 0.320 19.251

Problem 920

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 124 160 247 0 1532 0 0 0

N.S.

1 1.02 1.32 2.04 0.00 12.66 0.00 0.00 0.00

time (sec)

N/A 0.362 0.229 1.104 0.000 0.766 0.000 0.000 0.000

Problem 921

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

181 184 186 397 0 2411 0 0 0

N.S.

1 1.02 1.03 2.19 0.00 13.32 0.00 0.00 0.00

time (sec)

N/A 0.497 0.457 1.062 0.000 43.573 0.000 0.000 0.000

Problem 922

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 26 17 16 16 22 11 16

N.S.

1 1.00 1.00 0.65 0.62 0.62 0.85 0.42 0.62

time (sec)

N/A 0.162 6.307 0.023 0.177 0.260 63.480 0.320 19.993

Problem 923

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 28 47 23 22 32 17 22 22

N.S.

1 1.08 1.81 0.88 0.85 1.23 0.65 0.85 0.85

time (sec)

N/A 0.160 0.037 1.443 0.257 0.326 0.380 0.319 19.761

Problem 924

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 13 10 11 11 12 11 9

N.S.

1 1.00 0.87 0.67 0.73 0.73 0.80 0.73 0.60

time (sec)

N/A 0.134 10.009 1.089 0.180 0.260 0.069 0.319 19.903

Problem 925

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 19 16 28 27 0 27 18

N.S.

1 1.00 0.86 0.73 1.27 1.23 0.00 1.23 0.82

time (sec)

N/A 0.141 0.057 1.026 0.179 0.293 0.000 0.322 19.847

Problem 926

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 41 9 9 17 0 17 0

N.S.

1 1.00 3.42 0.75 0.75 1.42 0.00 1.42 0.00

time (sec)

N/A 0.142 0.043 1.288 0.268 0.272 0.000 0.361 0.000

Problem 927

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 43 11 11 17 0 17 0

N.S.

1 1.00 3.58 0.92 0.92 1.42 0.00 1.42 0.00

time (sec)

N/A 0.143 0.035 1.330 0.260 0.300 0.000 0.363 0.000

Problem 928

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 15 12 11 13 13 10 13 10

N.S.

1 1.00 0.80 0.73 0.87 0.87 0.67 0.87 0.67

time (sec)

N/A 0.135 0.028 1.065 0.180 0.269 0.063 0.302 20.276

Problem 929

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 58 82 47 42 49 0 53 0

N.S.

1 1.07 1.52 0.87 0.78 0.91 0.00 0.98 0.00

time (sec)

N/A 0.219 0.104 1.859 0.266 0.301 0.000 0.300 0.000

Problem 930

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F(-1) F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 47 38 0 0 0 45 27

N.S.

1 1.00 0.80 0.64 0.00 0.00 0.00 0.76 0.46

time (sec)

N/A 0.214 0.319 3.477 0.000 0.000 0.000 1.062 20.191

Problem 931

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 64 39 28 0 30 0 33 27

N.S.

1 1.08 0.66 0.47 0.00 0.51 0.00 0.56 0.46

time (sec)

N/A 0.196 0.028 1.047 0.000 0.374 0.000 0.306 19.831

Problem 932

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

94 109 51 38 0 40 0 51 0

N.S.

1 1.16 0.54 0.40 0.00 0.43 0.00 0.54 0.00

time (sec)

N/A 0.249 0.032 1.061 0.000 0.373 0.000 0.313 0.000

Problem 933

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 18 20 0 20 29 18 19

N.S.

1 1.00 1.00 1.11 0.00 1.11 1.61 1.00 1.06

time (sec)

N/A 0.157 0.047 1.060 0.000 0.294 0.329 0.334 0.143

Problem 934

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

107 91 82 47 0 62 0 60 0

N.S.

1 0.85 0.77 0.44 0.00 0.58 0.00 0.56 0.00

time (sec)

N/A 0.220 0.067 0.345 0.000 0.284 0.000 0.332 0.000

Problem 935

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 24 25 24 14 64 0 14 25

N.S.

1 0.96 1.00 0.96 0.56 2.56 0.00 0.56 1.00

time (sec)

N/A 0.157 0.032 2.705 0.179 0.344 0.000 0.325 21.394

Problem 936

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

42 44 42 34 33 35 49 33 35

N.S.

1 1.05 1.00 0.81 0.79 0.83 1.17 0.79 0.83

time (sec)

N/A 0.195 0.031 0.270 0.268 0.283 0.109 0.301 0.054

Problem 937

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

32 38 32 26 25 27 37 25 27

N.S.

1 1.19 1.00 0.81 0.78 0.84 1.16 0.78 0.84

time (sec)

N/A 0.181 0.022 0.257 0.274 0.282 0.101 0.334 21.127

Problem 938

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

76 83 49 53 0 95 0 45 0

N.S.

1 1.09 0.64 0.70 0.00 1.25 0.00 0.59 0.00

time (sec)

N/A 0.191 0.220 0.027 0.000 0.304 0.000 0.327 0.000

Problem 939

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 46 41 43 0 64 48 79 46

N.S.

1 1.00 0.89 0.93 0.00 1.39 1.04 1.72 1.00

time (sec)

N/A 0.275 0.078 0.115 0.000 0.351 1.419 0.311 20.090

Problem 940

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 20 18 0 14 0 13 0

N.S.

1 1.00 1.00 0.90 0.00 0.70 0.00 0.65 0.00

time (sec)

N/A 0.133 0.266 1.023 0.000 0.277 0.000 0.301 0.000

Problem 941

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A C F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 36 18 20 38 19 68 0 14

N.S.

1 1.03 0.51 0.57 1.09 0.54 1.94 0.00 0.40

time (sec)

N/A 0.160 0.157 1.133 0.303 0.275 0.658 0.000 19.876

Problem 942

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F A A C F B

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

15 15 111 0 13 16 122 0 13

N.S.

1 1.00 7.40 0.00 0.87 1.07 8.13 0.00 0.87

time (sec)

N/A 0.153 0.193 0.000 0.234 0.300 5.334 0.000 20.460

Problem 943

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

53 53 28 24 37 24 46 37 37

N.S.

1 1.00 0.53 0.45 0.70 0.45 0.87 0.70 0.70

time (sec)

N/A 0.187 0.014 1.089 0.180 0.283 0.496 0.322 0.047

Problem 944

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

31 22 31 26 25 25 27 25 25

N.S.

1 0.71 1.00 0.84 0.81 0.81 0.87 0.81 0.81

time (sec)

N/A 0.178 0.015 0.029 0.175 0.263 0.129 0.297 0.072

Problem 945

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 10 9 9 8 9 9

N.S.

1 1.00 1.00 0.91 0.82 0.82 0.73 0.82 0.82

time (sec)

N/A 0.133 0.025 1.126 0.181 0.268 0.056 0.300 21.206

Problem 946

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

6 6 6 5 4 4 5 4 4

N.S.

1 1.00 1.00 0.83 0.67 0.67 0.83 0.67 0.67

time (sec)

N/A 0.128 0.009 1.074 0.265 0.303 0.085 0.351 21.159

Problem 947

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 20 17 14 16 16 0 25 16

N.S.

1 1.00 0.85 0.70 0.80 0.80 0.00 1.25 0.80

time (sec)

N/A 0.140 0.014 1.076 0.265 0.254 0.000 0.310 21.207

Problem 948

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 17 17 12 26 11 12 11 11

N.S.

1 1.00 1.00 0.71 1.53 0.65 0.71 0.65 0.65

time (sec)

N/A 0.141 0.001 0.027 0.188 0.301 0.066 0.301 0.025

Problem 949

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 12 11 11 15 11 12

N.S.

1 1.00 1.00 0.63 0.58 0.58 0.79 0.58 0.63

time (sec)

N/A 0.147 0.002 0.056 0.180 0.279 0.377 0.316 0.025

Problem 950

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 45 42 28 27 25 37 27 27

N.S.

1 1.10 1.02 0.68 0.66 0.61 0.90 0.66 0.66

time (sec)

N/A 0.159 0.024 1.121 0.260 0.280 1.700 0.305 0.027

Problem 951

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

67 75 86 48 63 65 39 64 73

N.S.

1 1.12 1.28 0.72 0.94 0.97 0.58 0.96 1.09

time (sec)

N/A 0.177 0.043 1.077 0.263 0.270 0.637 0.326 21.538

Problem 952

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 8 7 7 8 7 7

N.S.

1 1.00 1.00 0.73 0.64 0.64 0.73 0.64 0.64

time (sec)

N/A 0.131 0.001 0.030 0.182 0.279 0.021 0.309 0.003

Problem 953

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 8 7 7 8 7 7

N.S.

1 1.00 1.00 0.73 0.64 0.64 0.73 0.64 0.64

time (sec)

N/A 0.130 0.001 0.040 0.174 0.278 0.021 0.301 0.026

Problem 954

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

11 11 11 8 7 7 8 7 7

N.S.

1 1.00 1.00 0.73 0.64 0.64 0.73 0.64 0.64

time (sec)

N/A 0.143 0.000 1.110 0.179 0.288 0.460 0.318 0.028

Problem 955

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F(-2) A B B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

61 61 75 49 0 192 162 123 0

N.S.

1 1.00 1.23 0.80 0.00 3.15 2.66 2.02 0.00

time (sec)

N/A 0.186 0.061 1.260 0.000 0.390 1.070 0.309 0.000

Problem 956

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F(-2) A B B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 78 55 0 202 162 131 0

N.S.

1 1.00 1.20 0.85 0.00 3.11 2.49 2.02 0.00

time (sec)

N/A 0.188 0.087 1.176 0.000 0.281 1.133 0.320 0.000

Problem 957

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 23 13 10 21 21 26 22 9

N.S.

1 1.77 1.00 0.77 1.62 1.62 2.00 1.69 0.69

time (sec)

N/A 0.147 0.018 1.048 0.262 0.288 0.125 0.415 0.032

Problem 958

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 23 13 10 21 21 26 22 9

N.S.

1 1.77 1.00 0.77 1.62 1.62 2.00 1.69 0.69

time (sec)

N/A 0.142 0.002 1.071 0.270 0.301 0.158 0.311 0.027

Problem 959

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

72 77 72 58 77 131 202 80 233

N.S.

1 1.07 1.00 0.81 1.07 1.82 2.81 1.11 3.24

time (sec)

N/A 0.234 0.062 1.194 0.260 0.302 0.699 0.331 20.604

Problem 960

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

37 37 23 23 15 22 0 48 22

N.S.

1 1.00 0.62 0.62 0.41 0.59 0.00 1.30 0.59

time (sec)

N/A 0.167 0.012 1.148 0.189 0.251 0.000 0.330 19.204

Problem 961

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A F A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

12 12 41 9 9 17 0 17 0

N.S.

1 1.00 3.42 0.75 0.75 1.42 0.00 1.42 0.00

time (sec)

N/A 0.146 0.004 1.076 0.261 0.301 0.000 0.331 0.000

Problem 962

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 107 71 67 0 89 56 51 0

N.S.

1 1.13 0.75 0.71 0.00 0.94 0.59 0.54 0.00

time (sec)

N/A 0.245 0.106 0.028 0.000 1.124 0.361 0.318 0.000

Problem 963

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

35 25 28 24 23 21 184 23 16

N.S.

1 0.71 0.80 0.69 0.66 0.60 5.26 0.66 0.46

time (sec)

N/A 0.160 0.014 0.127 0.174 0.289 0.636 0.287 19.371

Problem 964

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

37 25 30 28 27 22 265 27 24

N.S.

1 0.68 0.81 0.76 0.73 0.59 7.16 0.73 0.65

time (sec)

N/A 0.167 0.014 0.087 0.183 0.285 0.625 0.310 20.101

Problem 965

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 35 40 48 0 33 32 29 39

N.S.

1 1.21 1.38 1.66 0.00 1.14 1.10 1.00 1.34

time (sec)

N/A 0.164 0.082 1.078 0.000 0.275 1.378 0.332 21.865

Problem 966

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 33 42 48 0 36 42 32 40

N.S.

1 1.32 1.68 1.92 0.00 1.44 1.68 1.28 1.60

time (sec)

N/A 0.163 0.086 1.100 0.000 0.308 1.267 0.326 22.285

Problem 967

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 21 21 16 0 15 56 15 22

N.S.

1 1.00 1.00 0.76 0.00 0.71 2.67 0.71 1.05

time (sec)

N/A 0.167 0.052 1.045 0.000 0.300 0.170 0.470 0.042

Problem 968

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 64 49 57 0 97 0 105 127

N.S.

1 0.98 0.75 0.88 0.00 1.49 0.00 1.62 1.95

time (sec)

N/A 0.220 0.109 0.212 0.000 0.269 0.000 0.323 21.672

Problem 969

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 38 50 28 0 41 0 63 64

N.S.

1 1.23 1.61 0.90 0.00 1.32 0.00 2.03 2.06

time (sec)

N/A 0.205 0.134 0.227 0.000 0.286 0.000 0.323 0.187

Problem 970

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 94 57 46 0 54 58 50 0

N.S.

1 1.15 0.70 0.56 0.00 0.66 0.71 0.61 0.00

time (sec)

N/A 0.214 0.085 1.135 0.000 0.621 0.271 0.335 0.000

Problem 971

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

74 84 74 56 55 57 155 55 95

N.S.

1 1.14 1.00 0.76 0.74 0.77 2.09 0.74 1.28

time (sec)

N/A 0.337 0.047 1.049 0.279 0.284 2.480 0.336 20.542

Problem 972

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

115 124 115 81 80 80 221 80 130

N.S.

1 1.08 1.00 0.70 0.70 0.70 1.92 0.70 1.13

time (sec)

N/A 0.397 0.055 1.067 0.266 0.274 2.913 0.348 0.127

Problem 973

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B C F B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

4 4 22 29 0 20 0 4 4

N.S.

1 1.00 5.50 7.25 0.00 5.00 0.00 1.00 1.00

time (sec)

N/A 0.175 0.099 0.142 0.000 0.270 0.000 0.337 0.030

Problem 974

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 22 39 50 40 0 31 18

N.S.

1 1.00 1.00 1.77 2.27 1.82 0.00 1.41 0.82

time (sec)

N/A 0.160 0.028 0.111 0.180 0.284 0.000 0.333 21.500

Problem 975

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 24 40 37 26 0 28 20

N.S.

1 1.00 1.00 1.67 1.54 1.08 0.00 1.17 0.83

time (sec)

N/A 0.159 0.020 0.172 0.271 0.291 0.000 0.332 20.532

Problem 976

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 28 34 39 51 40 0 35 24

N.S.

1 1.17 1.42 1.62 2.12 1.67 0.00 1.46 1.00

time (sec)

N/A 0.164 0.050 0.109 0.191 0.308 0.000 0.360 0.031

Problem 977

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 24 39 38 38 32 38 20

N.S.

1 1.00 1.00 1.62 1.58 1.58 1.33 1.58 0.83

time (sec)

N/A 0.175 0.019 0.092 0.177 0.274 1.000 0.496 0.037

Problem 978

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 51 45 51 42 0 35 35

N.S.

1 1.00 2.32 2.05 2.32 1.91 0.00 1.59 1.59

time (sec)

N/A 0.154 0.035 0.096 0.179 0.278 0.000 0.313 0.040

Problem 979

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 27 52 44 35 25 0 35 23

N.S.

1 0.93 1.79 1.52 1.21 0.86 0.00 1.21 0.79

time (sec)

N/A 0.172 0.009 0.189 0.261 0.279 0.000 0.344 0.041

Problem 980

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 35 49 27 36 35 22 25 26

N.S.

1 1.06 1.48 0.82 1.09 1.06 0.67 0.76 0.79

time (sec)

N/A 0.168 0.066 1.159 0.258 0.295 0.513 0.304 21.653

Problem 981

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

8 8 40 7 6 16 5 25 6

N.S.

1 1.00 5.00 0.88 0.75 2.00 0.62 3.12 0.75

time (sec)

N/A 0.143 0.026 1.167 0.262 0.291 0.497 0.313 0.017

Problem 982

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

13 13 11 10 11 18 0 18 13

N.S.

1 1.00 0.85 0.77 0.85 1.38 0.00 1.38 1.00

time (sec)

N/A 0.149 0.014 1.084 0.182 0.261 0.000 0.302 22.393

Problem 983

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 24 41 0 33 0 73 17

N.S.

1 1.00 1.09 1.86 0.00 1.50 0.00 3.32 0.77

time (sec)

N/A 0.185 0.039 1.079 0.000 0.273 0.000 0.342 22.370

Problem 984

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C B A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 24 39 30 11 13 15 13 45

N.S.

1 1.00 1.62 1.25 0.46 0.54 0.62 0.54 1.88

time (sec)

N/A 0.152 0.018 1.132 0.265 0.259 0.375 0.295 22.709

Problem 985

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 55 23 27 62 75 59 28

N.S.

1 1.00 1.96 0.82 0.96 2.21 2.68 2.11 1.00

time (sec)

N/A 0.147 0.038 1.122 0.185 0.287 0.329 0.306 21.388

Problem 986

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 55 23 27 62 75 59 28

N.S.

1 1.00 1.96 0.82 0.96 2.21 2.68 2.11 1.00

time (sec)

N/A 0.160 0.001 1.086 0.186 0.295 0.707 0.472 21.322

Problem 987

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 55 29 27 62 75 59 28

N.S.

1 1.00 1.96 1.04 0.96 2.21 2.68 2.11 1.00

time (sec)

N/A 0.158 0.001 0.040 0.184 0.296 0.656 0.312 21.687

Problem 988

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 55 29 27 62 75 59 28

N.S.

1 1.00 1.96 1.04 0.96 2.21 2.68 2.11 1.00

time (sec)

N/A 0.158 0.001 0.037 0.185 0.294 0.705 0.325 22.675

Problem 989

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 55 29 27 62 75 59 28

N.S.

1 1.00 1.96 1.04 0.96 2.21 2.68 2.11 1.00

time (sec)

N/A 0.159 0.001 0.041 0.176 0.278 0.662 0.351 22.632

Problem 990

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 55 29 27 62 75 59 28

N.S.

1 1.00 1.96 1.04 0.96 2.21 2.68 2.11 1.00

time (sec)

N/A 0.157 0.001 0.038 0.178 0.304 0.686 0.362 21.136

Problem 991

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

40 40 56 28 36 87 97 76 33

N.S.

1 1.00 1.40 0.70 0.90 2.18 2.42 1.90 0.82

time (sec)

N/A 0.153 0.007 1.189 0.184 0.271 0.334 0.324 21.399

Problem 992

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

40 40 56 28 36 87 97 76 33

N.S.

1 1.00 1.40 0.70 0.90 2.18 2.42 1.90 0.82

time (sec)

N/A 0.168 0.001 1.129 0.187 0.282 0.657 0.336 20.973

Problem 993

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

40 40 56 28 36 87 97 76 33

N.S.

1 1.00 1.40 0.70 0.90 2.18 2.42 1.90 0.82

time (sec)

N/A 0.161 0.001 1.095 0.181 0.335 0.711 0.301 22.701

Problem 994

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

40 40 56 37 36 87 97 76 33

N.S.

1 1.00 1.40 0.92 0.90 2.18 2.42 1.90 0.82

time (sec)

N/A 0.168 0.001 0.045 0.181 0.284 0.691 0.301 23.073

Problem 995

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A F F A F F F(-1)

verified

N/A N/A Yes N/A TBD TBD TBD TBD TBD

size

63 0 110 0 0 68 0 0 0

N.S.

1 0.00 1.75 0.00 0.00 1.08 0.00 0.00 0.00

time (sec)

N/A 0.000 0.501 0.000 0.000 0.639 0.000 0.000 0.000

Problem 996

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A F F F(-1) F F F(-1)

verified

N/A N/A Yes N/A TBD TBD TBD TBD TBD

size

66 0 91 0 0 0 0 0 0

N.S.

1 0.00 1.38 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.000 0.616 0.000 0.000 0.000 0.000 0.000 0.000

Problem 997

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A C F B F B B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

78 319 83 217 0 434 0 218 649

N.S.

1 4.09 1.06 2.78 0.00 5.56 0.00 2.79 8.32

time (sec)

N/A 0.813 0.323 2.327 0.000 0.289 0.000 0.409 20.649

Problem 998

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F C F B F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

126 132 97 430 0 105 0 444 0

N.S.

1 1.05 0.77 3.41 0.00 0.83 0.00 3.52 0.00

time (sec)

N/A 0.333 0.109 1.669 0.000 0.280 0.000 0.376 0.000

Problem 999

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

22 22 96 0 0 62 0 0 0

N.S.

1 1.00 4.36 0.00 0.00 2.82 0.00 0.00 0.00

time (sec)

N/A 0.199 0.219 0.000 0.000 0.632 0.000 0.000 0.000

Problem 1000

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-1) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

40 40 42 0 0 0 0 0 0

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.263 0.833 0.000 0.000 0.000 0.000 0.000 0.000