* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 121 additional inputs, on iter 1 have 135 / 256 * * * * [misc]points: Computing exacts on every 7 of 121 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 121 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 121 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 55 additional inputs, on iter 2 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 55 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 26 additional inputs, on iter 3 have 230 / 256 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 4 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 5 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (N) (- (log (+ N 1)) (log N))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (- (log (+ N 1)) (log N))): 0 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 0 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: (7.299372666988037e-80): 0 * 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[misc]none: (3.6636765762957594e-187): 0 * [misc]none: (1.7036347403091437e+117): 0 * [misc]none: (9.645064592867311e+67): 0 * [misc]none: (1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10): 0 * [misc]none: (2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78): 0 * [misc]none: (2.43524332605807e-278): 0 * [misc]none: (1.0576788912710565e-08): 0 * [misc]none: (4.764080499693186e-90): 0 * [misc]none: (1.3557350350348342e+244): 0 * [misc]none: (1.89639974853721e+92): 0 * [misc]none: (8.2625435987749e+74): 0 * [misc]none: (5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58): 0 * [misc]none: (2.884705125857619e-274): 0 * [misc]none: (2.031068672850261e-255): 0 * [misc]none: (2.4294527094706238e+82): 0 * [misc]none: (7.274711555473555e+146): 0 * [misc]none: (1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37): 0 * [misc]none: (4.642568065399805e-260): 0 * [misc]none: (3.8347842435652736e+125): 0 * [misc]none: (7.178809205583962e-175): 0 * [misc]none: (1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29): 0 * [misc]none: (1.868517529275615e+140): 0 * [misc]none: (1.5276944825842992e+272): 0 * [misc]none: (2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229): 0 * [misc]none: (3.2587696828142436e+75): 0 * [misc]none: (3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267): 0 * [misc]none: (5.348181441205713e-277): 0 * [misc]none: (2.6631876145177815e-299): 0 * [misc]none: (1.4781375733319608e-242): 0 * [misc]none: (3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183): 0 * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 0 * [misc]none: (1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 0 * [misc]none: (3.0310347416413137e-258): 0 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (1.5758037123807388e+87): 0 * [misc]none: (2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (2.4757193927168845e-307): 0 * [misc]none: (1.457018723838865e-35): 0 * [misc]none: (9.424239481611678e-294): 0 * [misc]none: (1.5096638452158614e-71): 0 * [misc]none: (6.967234360883543e-112): 0 * [misc]none: (2.0770495361468835e+203): 0 * [misc]none: (3.1401318723071353e-131): 0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 0 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 0 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 0 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (N) (- (log (+ N 1)) (log N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log N))) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (- (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (log (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) * [enter]simplify: Simplifying (cbrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (pow (- (log (+ 1 N)) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log (+ 1 N)) (log N)) 3) * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [enter]simplify: Simplifying (sqrt (- (log (+ N 1)) (log N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (log (+ N 1)) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (pow (log (+ 1 N)) 3) (* (* (log N) (log N)) (- (log N)))) * [exit]simplify: Simplified to (+ (pow (log (+ 1 N)) 3) (* (* (log N) (log N)) (- (log N)))) * [enter]simplify: Simplifying (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (+ (log N) (log (+ 1 N))) (log N))) * [exit]simplify: Simplified to (+ (* (log (+ 1 N)) (log (+ 1 N))) (* (+ (log N) (log (+ 1 N))) (log N))) * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (log (+ 1 N))) (* (log N) (log N))) * [enter]simplify: Simplifying (+ (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (log (+ 1 N))) (sqrt (log N))) * [exit]simplify: Simplified to (+ (sqrt (log (+ 1 N))) (sqrt (log N))) * [enter]simplify: Simplifying (- (sqrt (log (+ N 1))) (sqrt (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) * [exit]simplify: Simplified to (- (sqrt (log (+ 1 N))) (sqrt (log N))) * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (cbrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ N 1))) (log N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * [exit]simplify: Simplified to (- (log (sqrt (+ 1 N))) (log N)) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (- (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (+ (log N) (log (+ (- 1 N) (* N N)))) * [exit]simplify: Simplified to (+ (log N) (log (+ (- 1 N) (* N N)))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- N 1)) (log N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * [exit]simplify: Simplified to (+ (log (- N 1)) (log N)) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* (* N N) (- 1/2 (* N 1/3)))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) (log N)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (- (- (+ (/ 1 N) 0) (/ (/ 1/2 N) N)) 0) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* N (* N 1/2))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * [misc]none: Fresh alt: (λ (N) (log (/ (+ N 1) N))) * [misc]none: Fresh alt: (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))): 0 * [misc]none: (λ (N) (log (/ (+ N 1) N))): 1 * [misc]none: (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))): 2 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 2 * [misc]none: (1.1750256677114723e+302): 2 * [misc]none: (1.7531612809893653e+136): 2 * [misc]none: (8.844853331262414e+38): 2 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 2 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 0 * [misc]none: (8.127248813391785e+226): 2 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 2 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 2 * [misc]none: (1.5354587375460247e+100): 2 * [misc]none: (2.0724540688985427e-14): 1 * [misc]none: (7.930730410937821e+23): 2 * [misc]none: (1.2219765589404705e+117): 2 * [misc]none: (4.8815870270916733e+188): 2 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 2 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 0 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 2 * [misc]none: (2.9453252035345084e+174): 2 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 2 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 2 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 2 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 2 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 2 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 2 * [misc]none: (1.0214816826091913e+147): 2 * [misc]none: (9.44950370602155e+215): 2 * [misc]none: (1.453842915541268e+187): 2 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: (1.0684729481870001e-64): 0 * [misc]none: (6.3073426358942834e+75): 2 * [misc]none: (3.1520683467019444e-71): 0 * [misc]none: (0.19659739803111875): 0 * [misc]none: (7.786539791485611e+181): 2 * [misc]none: (2.4995037253728046e-268): 0 * [misc]none: (4.637177905335891e-10): 0 * [misc]none: (8.652041834233969e-101): 0 * [misc]none: (3.209451012414084e+270): 2 * [misc]none: (3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247): 0 * [misc]none: (6.160331831501279e+241): 2 * [misc]none: (3.4124175886179475e+199): 2 * [misc]none: (3.0044088767799776e-30): 0 * [misc]none: (4.7140908881238785e+103): 2 * [misc]none: (2.3604863517900675e+30): 2 * [misc]none: (6.476730028728146e-228): 0 * [misc]none: (3.369115258471057e+173): 2 * [misc]none: (1.3383461391823352e+303): 2 * [misc]none: (2.3157792094796435e+174): 2 * [misc]none: (4.097601147132013e-78): 0 * [misc]none: (4.194634882433556e+107): 2 * [misc]none: (3.3390334975960143e-07): 0 * [misc]none: (2.2475155879831534e-92): 0 * [misc]none: (1.030614327019319e-115): 0 * [misc]none: (1.8172920677413648e+103): 2 * [misc]none: (1.186346974675696e+155): 2 * [misc]none: (6.283729883572828e+84): 2 * [misc]none: (3.6636765762957594e-187): 0 * [misc]none: (1.7036347403091437e+117): 2 * [misc]none: (9.645064592867311e+67): 2 * [misc]none: (1.3872947227834175e-251): 0 * 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[misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 2 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 2 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 2 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 2 * [misc]none: (8.398043771606399e+47): 2 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 2 * [misc]none: (6.614130481633629e+300): 2 * [misc]none: (1.3240207557849338e+291): 2 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 2 * [misc]none: (4.84788597345363e+32): 2 * [misc]none: (1.0657402022625375e+129): 2 * [misc]none: (1.7927880379985524e+252): 2 * [misc]none: (1.0006462262322276e+238): 2 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 2 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 2 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 2 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 2 * [misc]none: (6.657191501816709e+167): 2 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 2 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 2 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 2 * [misc]none: (1.4474621781713568e+65): 2 * [misc]none: (5.154503491655989e+241): 2 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 2 * [misc]none: (5.013161881068948e+307): 2 * [misc]none: (66089027839097.664): 2 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (N) (log (/ (+ N 1) N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ N 1) N)) in N * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (* 1 (/ 1 N))) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) 1) into (+ 1 (/ 1 N)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ 1 (/ 1 N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [exit]simplify: Simplified to (+ (log (cbrt (/ (+ 1 N) N))) (log (cbrt (/ (+ 1 N) N)))) * [enter]simplify: Simplifying (log (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (cbrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 2 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (log (sqrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (sqrt (/ (+ 1 N) N))) * * * * [misc]progress: [ 3 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * * * * [misc]progress: [ 4 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * [enter]simplify: Simplifying (log (/ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 5 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * [enter]simplify: Simplifying (log N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log N) * [exit]simplify: Simplified to (log N) * * * * [misc]progress: [ 6 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * * * * [misc]progress: [ 7 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (log (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 10 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (+ 1 N) N) * [exit]simplify: Simplified to (/ (+ 1 N) N) * * * * [misc]progress: [ 11 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) * [exit]simplify: Simplified to (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) * [enter]simplify: Simplifying (cbrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (cbrt (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 12 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (pow (log (/ (+ 1 N) N)) 3) * [exit]simplify: Simplified to (pow (log (/ (+ 1 N) N)) 3) * * * * [misc]progress: [ 13 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [enter]simplify: Simplifying (sqrt (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * [exit]simplify: Simplified to (sqrt (log (/ (+ 1 N) N))) * * * * [misc]progress: [ 14 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * [exit]simplify: Simplified to (log (/ (+ 1 N) N)) * * * * [misc]progress: [ 17 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * [exit]simplify: Simplified to (exp (/ (+ 1 N) N)) * * * * [misc]progress: [ 18 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [exit]simplify: Simplified to (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) * [enter]simplify: Simplifying (cbrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (cbrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 19 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (482 enodes) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * [exit]simplify: Simplified to (pow (/ (+ 1 N) N) 3) * * * * [misc]progress: [ 20 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [enter]simplify: Simplifying (sqrt (/ (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * [exit]simplify: Simplified to (sqrt (/ (+ 1 N) N)) * * * * [misc]progress: [ 21 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (- (+ 1 N)) * [exit]simplify: Simplified to (- (+ 1 N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 22 / 35 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 24 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ 1 N)) * [exit]simplify: Simplified to (/ N (+ 1 N)) * * * * [misc]progress: [ 25 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (cbrt (+ 1 N))) * * * * [misc]progress: [ 26 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * [exit]simplify: Simplified to (/ N (sqrt (+ 1 N))) * * * * [misc]progress: [ 27 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (+ N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ N (+ 1 N)) * [exit]simplify: Simplified to (/ N (+ 1 N)) * * * * [misc]progress: [ 28 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* N (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (* N (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 29 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (* N (- N 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (* N N) N) * [exit]simplify: Simplified to (- (* N N) N) * * * * [misc]progress: [ 30 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- N (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* N (* N 1/2))) * * * * [misc]progress: [ 31 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 32 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1/3 (* N N)) (- 1 (/ 1/2 N))) N) * * * * [misc]progress: [ 33 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (/ 1 N))) * * * * [misc]progress: [ 34 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (/ 1 N))) * * * * [misc]progress: [ 35 / 35 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (/ 1 N))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (/ 1 N))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 2 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * [misc]none: Non-fresh alt: (λ (N) (log (/ (+ N 1) N))) * [misc]none: Fresh alt: (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))): 0 * [misc]none: (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))): 1 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 1 * [misc]none: (1.1750256677114723e+302): 1 * [misc]none: (1.7531612809893653e+136): 1 * [misc]none: (8.844853331262414e+38): 1 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 1 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 0 * [misc]none: (8.127248813391785e+226): 1 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 1 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 1 * [misc]none: (1.5354587375460247e+100): 1 * [misc]none: (2.0724540688985427e-14): 0 * [misc]none: (7.930730410937821e+23): 1 * [misc]none: (1.2219765589404705e+117): 1 * [misc]none: (4.8815870270916733e+188): 1 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 1 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 0 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 1 * [misc]none: (2.9453252035345084e+174): 1 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 1 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 1 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 1 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 1 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 1 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 1 * [misc]none: (1.0214816826091913e+147): 1 * [misc]none: (9.44950370602155e+215): 1 * [misc]none: (1.453842915541268e+187): 1 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: (1.0684729481870001e-64): 0 * [misc]none: (6.3073426358942834e+75): 1 * [misc]none: (3.1520683467019444e-71): 0 * [misc]none: (0.19659739803111875): 0 * [misc]none: (7.786539791485611e+181): 1 * [misc]none: (2.4995037253728046e-268): 0 * [misc]none: (4.637177905335891e-10): 0 * [misc]none: (8.652041834233969e-101): 0 * [misc]none: (3.209451012414084e+270): 1 * [misc]none: (3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247): 0 * [misc]none: (6.160331831501279e+241): 1 * [misc]none: (3.4124175886179475e+199): 1 * [misc]none: (3.0044088767799776e-30): 0 * [misc]none: (4.7140908881238785e+103): 1 * [misc]none: (2.3604863517900675e+30): 1 * [misc]none: (6.476730028728146e-228): 0 * [misc]none: (3.369115258471057e+173): 1 * [misc]none: (1.3383461391823352e+303): 1 * [misc]none: (2.3157792094796435e+174): 1 * [misc]none: (4.097601147132013e-78): 0 * [misc]none: (4.194634882433556e+107): 1 * [misc]none: (3.3390334975960143e-07): 0 * [misc]none: (2.2475155879831534e-92): 0 * [misc]none: (1.030614327019319e-115): 0 * [misc]none: (1.8172920677413648e+103): 1 * [misc]none: (1.186346974675696e+155): 1 * [misc]none: (6.283729883572828e+84): 1 * [misc]none: (3.6636765762957594e-187): 0 * [misc]none: (1.7036347403091437e+117): 1 * [misc]none: (9.645064592867311e+67): 1 * [misc]none: (1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10): 0 * [misc]none: (2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78): 1 * [misc]none: (2.43524332605807e-278): 0 * [misc]none: (1.0576788912710565e-08): 0 * [misc]none: (4.764080499693186e-90): 0 * [misc]none: (1.3557350350348342e+244): 1 * [misc]none: (1.89639974853721e+92): 1 * [misc]none: (8.2625435987749e+74): 1 * [misc]none: (5.2790261762422465e+19): 1 * [misc]none: (2.0179287053921742e+58): 1 * [misc]none: (2.884705125857619e-274): 0 * [misc]none: (2.031068672850261e-255): 0 * [misc]none: (2.4294527094706238e+82): 1 * [misc]none: (7.274711555473555e+146): 1 * [misc]none: (1.5565784464325313e+71): 1 * [misc]none: (1.2222184804619167e+37): 1 * [misc]none: (4.642568065399805e-260): 0 * [misc]none: (3.8347842435652736e+125): 1 * [misc]none: (7.178809205583962e-175): 0 * [misc]none: (1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29): 0 * [misc]none: (1.868517529275615e+140): 1 * [misc]none: (1.5276944825842992e+272): 1 * [misc]none: (2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229): 1 * [misc]none: (3.2587696828142436e+75): 1 * [misc]none: (3.7735141958833343e+170): 1 * [misc]none: (1.0233799517176219e-267): 0 * [misc]none: (5.348181441205713e-277): 0 * [misc]none: (2.6631876145177815e-299): 0 * [misc]none: (1.4781375733319608e-242): 0 * [misc]none: (3.003847336951168e+42): 1 * [misc]none: (1.6609596531041104e-183): 0 * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 1 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (6.224141164637054e+75): 1 * [misc]none: (2.3623052767393814e+153): 1 * [misc]none: (4.4633600804799425e+142): 1 * [misc]none: (1.2790861077923577e+68): 1 * [misc]none: (1.0592112097552954e+143): 1 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 1 * [misc]none: (2.973444851318118e-169): 0 * [misc]none: (1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86): 1 * [misc]none: (4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176): 1 * [misc]none: (5.752669291865014e-257): 0 * [misc]none: (3.0310347416413137e-258): 0 * [misc]none: (3.727663855470157e+254): 1 * [misc]none: (8.775974517752829e+204): 1 * [misc]none: (1.5758037123807388e+87): 1 * [misc]none: (2.4492953260422185e+131): 1 * [misc]none: (5.835395598392501e+198): 1 * [misc]none: (2.2545095115116114e+189): 1 * [misc]none: (2.4757193927168845e-307): 0 * [misc]none: (1.457018723838865e-35): 0 * [misc]none: (9.424239481611678e-294): 0 * [misc]none: (1.5096638452158614e-71): 0 * [misc]none: (6.967234360883543e-112): 0 * [misc]none: (2.0770495361468835e+203): 1 * [misc]none: (3.1401318723071353e-131): 0 * [misc]none: (0.228970627026966): 0 * [misc]none: (8.40469635347052e+100): 1 * [misc]none: (2.1321881547753267e-44): 0 * [misc]none: (1.7739584018359304e-207): 0 * [misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 1 * [misc]none: (4.508352673437809e+248): 1 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 1 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 1 * [misc]none: (2.1703230086091624e+277): 1 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 0 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 1 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 1 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 1 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 1 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 1 * 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[misc]none: (3.7735141958833343e+170): 2 * [misc]none: (1.0233799517176219e-267): 0 * [misc]none: (5.348181441205713e-277): 0 * [misc]none: (2.6631876145177815e-299): 0 * [misc]none: (1.4781375733319608e-242): 0 * [misc]none: (3.003847336951168e+42): 2 * [misc]none: (1.6609596531041104e-183): 0 * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 2 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (6.224141164637054e+75): 2 * [misc]none: (2.3623052767393814e+153): 2 * [misc]none: (4.4633600804799425e+142): 2 * [misc]none: (1.2790861077923577e+68): 2 * [misc]none: (1.0592112097552954e+143): 2 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 2 * [misc]none: 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[misc]none: (6.866799226360426e-109): 0 * [misc]none: (6.417434319517234e+231): 2 * [misc]none: (4.508352673437809e+248): 2 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 2 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 2 * [misc]none: (2.1703230086091624e+277): 2 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 0 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (2.991170371343952e+151): 2 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 2 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 2 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (5.123849747663666e+133): 2 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 2 * [misc]none: (8.452539306620761e+219): 2 * [misc]none: (4.4485313287564445e+252): 2 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 2 * [misc]none: (1.5780761566396397e+125): 2 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 2 * [misc]none: (8.976998414840432e+184): 2 * [misc]none: (3.9122094377392414e+59): 2 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 2 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 2 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 2 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 2 * [misc]none: (8.398043771606399e+47): 2 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 2 * [misc]none: (6.614130481633629e+300): 2 * [misc]none: (1.3240207557849338e+291): 2 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 2 * [misc]none: (4.84788597345363e+32): 2 * [misc]none: (1.0657402022625375e+129): 2 * [misc]none: (1.7927880379985524e+252): 2 * [misc]none: (1.0006462262322276e+238): 2 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 2 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 2 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 2 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 2 * [misc]none: (6.657191501816709e+167): 2 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 2 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 2 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 2 * [misc]none: (1.4474621781713568e+65): 2 * [misc]none: (5.154503491655989e+241): 2 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 2 * [misc]none: (5.013161881068948e+307): 2 * [misc]none: (66089027839097.664): 2 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) in N * [misc]taylor: Taking taylor expansion of (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) in N * [misc]taylor: Taking taylor expansion of (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (pow N 1/3) (pow N 1/3)) into (pow (pow N 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow N 2) 1/3) (pow N 1/3)) into N * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ N (- (log N))) into (- N (log N)) * [misc]backup-simplify: Simplify (- N (log N)) into (- N (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* -1/6 (pow N 1/3))) (* (* -1/6 (pow N 1/3)) (pow N 1/3))) into (- (* 1/3 (pow (pow N 2) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (pow N 2) 1/3) (* -1/6 (pow N 1/3))) (* (- (* 1/3 (pow (pow N 2) 1/3))) (pow N 1/3))) into (- (* 1/2 N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 N)) 0) into (- (* 1/2 N)) * [misc]backup-simplify: Simplify (- (* 1/2 N)) into (- (* 1/2 N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N 1/3) (* 1/12 (pow N 1/3))) (+ (* (* -1/6 (pow N 1/3)) (* -1/6 (pow N 1/3))) (* (* 1/12 (pow N 1/3)) (pow N 1/3)))) into (* 7/36 (pow (pow N 2) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (pow N 2) 1/3) (* 1/12 (pow N 1/3))) (+ (* (- (* 1/3 (pow (pow N 2) 1/3))) (* -1/6 (pow N 1/3))) (* (* 7/36 (pow (pow N 2) 1/3)) (pow N 1/3)))) into (* 1/3 N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 N) 0) into (* 1/3 N) * [misc]backup-simplify: Simplify (* 1/3 N) into (* 1/3 N) * [misc]backup-simplify: Simplify (+ (* (* 1/3 N) (pow N 2)) (+ (* (- (* 1/2 N)) N) (- N (log N)))) into (- (+ (* 1/3 (pow N 3)) N) (+ (log N) (* 1/2 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (* (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1)))) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1)))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1)))) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (* (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (pow (- (log N)) 1/3) (pow (- (log N)) 1/3)) into (pow (* (pow -1 2) (pow (log N) 2)) 1/3) * [misc]backup-simplify: Simplify (* (pow (* (pow -1 2) (pow (log N) 2)) 1/3) (pow (- (log N)) 1/3)) into (* (pow -1 1/3) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (- (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (log N)) (log N)) into (+ (* (pow -1 1/3) (log N)) (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- (log N)) 1/3) (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) (pow (- (log N)) 1/3))) into (- (* 2/3 (pow (/ 1 (log N)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow -1 2) (pow (log N) 2)) 1/3) (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (- (* 2/3 (pow (/ 1 (log N)) 1/3))) (pow (- (log N)) 1/3))) into (- (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (pow -1 1/3)) 0) into (- (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (pow -1 1/3)) into (- (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))) (pow (* -1 (log N)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))) (pow (* -1 (log N)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (pow (log N) 2))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (pow (log N) 2)))) 1) 1)))) into (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))) (pow (* -1 (log N)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- (log N)) 1/3) (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))) (pow (* -1 (log N)) 1/3))) (+ (* (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3)) (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))) (pow (* -1 (log N)) 1/3)) (pow (- (log N)) 1/3)))) into (- (* 1/3 (pow (/ 1 (log N)) 1/3)) (* 1/9 (pow (/ 1 (pow (log N) 4)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow -1 2) (pow (log N) 2)) 1/3) (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (pow (log N) 2)))) (pow (* -1 (log N)) 1/3))) (+ (* (- (* 2/3 (pow (/ 1 (log N)) 1/3))) (* -1/3 (pow (/ -1 (pow (log N) 2)) 1/3))) (* (- (* 1/3 (pow (/ 1 (log N)) 1/3)) (* 1/9 (pow (/ 1 (pow (log N) 4)) 1/3))) (pow (- (log N)) 1/3)))) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow -1 1/3)) 0) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 1/2 (pow -1 1/3)) into (* 1/2 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow -1 1/3)) (pow (/ 1 N) 2)) (+ (* (- (pow -1 1/3)) (/ 1 N)) (+ (* (pow -1 1/3) (log (/ 1 N))) (log (/ 1 N))))) into (- (+ (log (/ 1 N)) (+ (* 1/2 (* (pow -1 1/3) (/ 1 (pow N 2)))) (* (log (/ 1 N)) (pow -1 1/3)))) (* (pow -1 1/3) (/ 1 N))) * [misc]approximate: Taking taylor expansion of (- (* (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) (cbrt (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) (cbrt (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) (cbrt (log (+ (/ 1 (- N)) 1)))) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (* (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (log (+ (/ 1 (- N)) 1))) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* (pow (- (log -1) (log N)) 1/3) (pow (- (log -1) (log N)) 1/3)) into (pow (pow (- (log -1) (log N)) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (- (log -1) (log N)) 2) 1/3) (pow (- (log -1) (log N)) 1/3)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 1/3) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) (pow (- (log -1) (log N)) 1/3))) into (- (* 2/3 (pow (/ 1 (- (log -1) (log N))) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (- (* 2/3 (pow (/ 1 (- (log -1) (log N))) 1/3))) (pow (- (log -1) (log N)) 1/3))) into (- 1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1) 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)))) into (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 1/3) (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2)))))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 1/3 (pow (/ 1 (- (log -1) (log N))) 1/3)) (* 1/9 (pow (/ 1 (pow (- (log -1) (log N)) 4)) 1/3)))) * [misc]backup-simplify: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* (- (* 2/3 (pow (/ 1 (- (log -1) (log N))) 1/3))) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (- (+ (* 1/3 (pow (/ 1 (- (log -1) (log N))) 1/3)) (* 1/9 (pow (/ 1 (pow (- (log -1) (log N)) 4)) 1/3)))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))) (+ 1/3 (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))) (+ 1/3 (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2)))))) 0) into (- (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))) (+ 1/3 (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (- (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))) (+ 1/3 (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2)))))) into (- (+ (* 1/6 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))) (+ 1/3 (+ (* 1/6 (/ (log -1) (- (log -1) (log N)))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (log -1) (log N)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 1 (pow (* 6 -1/3) 1)) (pow (- (log -1) (log N)) 1)))) 6) into (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/6 (+ (* 2 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 2 (/ 1 (- (log -1) (log N)))) (* 3 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* 0 (* -1/2 (+ (/ 1 (- (log -1) (log N))) (/ 1 (pow (- (log -1) (log N)) 2))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))))) into (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1) (/ (pow (- (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))))) 1) 1)) (* (/ (pow (- (+ (* 1/6 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ 1 (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N))))))) 1) 1)))) into (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (- (log -1) (log N)) 1/3) (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3)) (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2)))))) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3))) (pow (- (log -1) (log N)) 1/3))))) into (- (+ (* 4/81 (pow (/ 1 (pow (- (log -1) (log N)) 7)) 1/3)) (+ (* 2/9 (pow (/ 1 (- (log -1) (log N))) 1/3)) (* 1/9 (pow (/ 1 (pow (- (log -1) (log N)) 4)) 1/3))))) * [misc]backup-simplify: Simplify (+ (* (pow (pow (- (log -1) (log N)) 2) 1/3) (* -1 (* (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))) (pow (- (log -1) (log N)) 1/3)))) (+ (* (- (* 2/3 (pow (/ 1 (- (log -1) (log N))) 1/3))) (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/6 (/ 1 (- (log -1) (log N)))) (* 1/9 (/ 1 (pow (- (log -1) (log N)) 2))))))) (+ (* (- (+ (* 1/3 (pow (/ 1 (- (log -1) (log N))) 1/3)) (* 1/9 (pow (/ 1 (pow (- (log -1) (log N)) 4)) 1/3)))) (* -1/3 (pow (/ 1 (pow (- (log -1) (log N)) 2)) 1/3))) (* (- (+ (* 4/81 (pow (/ 1 (pow (- (log -1) (log N)) 7)) 1/3)) (+ (* 2/9 (pow (/ 1 (- (log -1) (log N))) 1/3)) (* 1/9 (pow (/ 1 (pow (- (log -1) (log N)) 4)) 1/3))))) (pow (- (log -1) (log N)) 1/3))))) into (- (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N)))))))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ 2/9 (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N)))))))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ 2/9 (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2))))))) 0) into (- (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ 2/9 (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2))))))) * [misc]backup-simplify: Simplify (- (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 2))) (* 1/9 (/ 1 (- (log -1) (log N)))))))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ 2/9 (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2))))))) into (- (+ (* 5/81 (/ 1 (pow (- (log -1) (log N)) 2))) (+ (* 1/9 (/ (log N) (- (log -1) (log N)))) (+ (* 1/9 (/ (log N) (pow (- (log -1) (log N)) 2))) (+ (* 5/81 (/ (log N) (pow (- (log -1) (log N)) 3))) (* 1/9 (/ 1 (- (log -1) (log N)))))))) (+ (* 1/9 (/ (log -1) (- (log -1) (log N)))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log N)) 3))) (+ 2/9 (* 1/9 (/ (log -1) (pow (- (log -1) (log N)) 2))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 5/81 (/ 1 (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 1/9 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 1/9 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (+ (* 5/81 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (* 1/9 (/ 1 (- (log -1) (log (/ 1 (- N)))))))))) (+ (* 1/9 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (+ (* 5/81 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 3))) (+ 2/9 (* 1/9 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2))))))) (pow (/ 1 (- N)) 3)) (+ (* (- (+ (* 1/6 (/ (log (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) (+ (* 1/9 (/ (log (/ 1 (- N))) (pow (- (log -1) (log (/ 1 (- N)))) 2))) (* 1/9 (/ 1 (- (log -1) (log (/ 1 (- N)))))))) (+ 1/3 (+ (* 1/6 (/ (log -1) (- (log -1) (log (/ 1 (- N)))))) (* 1/9 (/ (log -1) (pow (- (log -1) (log (/ 1 (- N)))) 2)))))) (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 5/81 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/9 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 1/9 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 1/9 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 2/9 (/ 1 (pow N 3))) (+ (* 1/6 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ 1 N)))))))) (+ (* 1/9 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 5/81 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 1/9 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/6 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 5/81 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (* 1/3 (/ 1 (pow N 2))))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (log (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [enter]simplify: Simplifying (log (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * [exit]simplify: Simplified to (log (sqrt (+ 1 N))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [exit]simplify: Simplified to (log (+ 1 (pow N 3))) * [enter]simplify: Simplifying (log (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (log (+ 1 N)) 3) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))))) N) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (exp (log (+ 1 N))) N) * [exit]simplify: Simplified to (/ (exp (log (+ 1 N))) N) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (log (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (log (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (+ (/ 1 N) 1) * [exit]simplify: Simplified to (+ (/ 1 N) 1) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) (cbrt (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) * [exit]simplify: Simplified to (* (cbrt (- (log (+ 1 N)) (log N))) (cbrt (- (log (+ 1 N)) (log N)))) * [enter]simplify: Simplifying (cbrt (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (cbrt (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (pow (- (log (+ 1 N)) (log N)) 3) * [exit]simplify: Simplified to (pow (- (log (+ 1 N)) (log N)) 3) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [enter]simplify: Simplifying (sqrt (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (sqrt (- (log (+ 1 N)) (log N))) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) 3) (pow (log N) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (* (* (log N) (log N)) (- (log N))) (pow (log (+ 1 N)) 3)) * [exit]simplify: Simplified to (+ (* (* (log N) (log N)) (- (log N))) (pow (log (+ 1 N)) 3)) * [enter]simplify: Simplifying (+ (* (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))))) (+ (* (log N) (log N)) (* (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (+ (* (log N) (+ (log N) (log (+ 1 N)))) (* (log (+ 1 N)) (log (+ 1 N)))) * [exit]simplify: Simplified to (+ (* (log N) (+ (log N) (log (+ 1 N)))) (* (log (+ 1 N)) (log (+ 1 N)))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))))) (* (log N) (log N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (* (+ (log N) (log (+ 1 N))) (- (log (+ 1 N)) (log N))) * [exit]simplify: Simplified to (* (+ (log N) (log (+ 1 N))) (- (log (+ 1 N)) (log N))) * [enter]simplify: Simplifying (+ (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log N)) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log N)) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log N)) * [exit]simplify: Simplified to (- (log N)) * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))))) (log N)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (- (* (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (- N (* (- 1/2 (* N 1/3)) (* N N))))) (log N)) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) (log N)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (* (cbrt (- (+ (log N) (/ 1 N)) (/ (/ 1/2 N) N))) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N))))) (log N)) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))))) (log N)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (- (* (cbrt (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N)))) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N))))) (log N)) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (log (+ N 1))) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2))))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (* (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (+ N (* (- (* 1/3 N) 1/2) (* N N))))) (log N)) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (log (+ N 1))) (cbrt (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2))))))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (- (* (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N))))) (log N)) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (log (+ N 1))) (cbrt (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (- (* (cbrt (- (+ (/ 1 N) (log N)) (/ 1/2 (* N N)))) (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N))))) (log N)) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (pow N 2)))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (- (* (* (cbrt (log (+ 1 N))) (cbrt (log (+ 1 N)))) (cbrt (- N (* (* N N) (- 1/2 (* N 1/3)))))) (log N)) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (- (/ 1 N) (+ (log (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (- (+ (log N) (/ 1 N)) (/ (/ 1/2 N) N)))) (log N)) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* (cbrt (- (+ (log -1) (/ 1 N)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N))))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (- (+ (log N) (/ 1 N)) (/ (/ 1/2 N) N)))) (log N)) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow N 3)) N) (+ (log N) (* 1/2 (pow N 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (- (- N (log N)) (* (* N N) (- 1/2 (* N 1/3)))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ 1 N)) (+ (* 1/2 (* (pow -1 1/3) (/ 1 (pow N 2)))) (* (log (/ 1 N)) (pow -1 1/3)))) (* (pow -1 1/3) (/ 1 N))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (- (- (* (/ (cbrt -1) N) (/ 1/2 N)) (+ (log N) (/ (cbrt -1) N))) (* (log N) (cbrt -1))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 5/81 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/9 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 1/9 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 1/9 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (pow N 2) (pow (- (log -1) (log (/ -1 N))) 2)))) (+ (* 2/9 (/ 1 (pow N 3))) (+ (* 1/6 (/ (log (/ -1 N)) (* (pow N 2) (- (log -1) (log (/ -1 N)))))) (/ 1 N)))))))) (+ (* 1/9 (/ (log -1) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (+ (* 5/81 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (+ (* 1/9 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (- (log -1) (log (/ -1 N))) (pow N 3)))) (+ (* 1/6 (/ (log -1) (* (- (log -1) (log (/ -1 N))) (pow N 2)))) (+ (* 5/81 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 3) (pow N 3)))) (+ (* 1/9 (/ (log (/ -1 N)) (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 3)))) (* 1/3 (/ 1 (pow N 2))))))))))) * * [misc]simplify: iters left: 6 (71 enodes) * * [misc]simplify: iters left: 5 (192 enodes) * [exit]simplify: Simplified to (- (- (+ (+ (+ (/ (/ (* 5/81 (log -1)) (pow N 3)) (pow (- (log -1) (log (/ -1 N))) 3)) (/ (/ (* 1/9 (log -1)) (pow N 3)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))) (+ (/ (/ (* 1/9 (log -1)) (pow N 3)) (- (log -1) (log (/ -1 N)))) (/ 1/9 (* (- (log -1) (log (/ -1 N))) (* N N))))) (+ (+ (/ (* 1/9 (/ (log (/ -1 N)) (* N N))) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ 2/9 (pow N 3))) (+ (/ 1 N) (/ (* 1/6 (log (/ -1 N))) (* (- (log -1) (log (/ -1 N))) (* N N)))))) (+ (* (/ 5/81 (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))) (/ (/ 1 N) (* N N))) (/ (/ (* 1/9 (log -1)) (* N N)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N))))))) (+ (+ (+ (/ (/ (* 1/9 (log (/ -1 N))) (pow N 3)) (- (log -1) (log (/ -1 N)))) (* (/ 1/9 (- (log -1) (log (/ -1 N)))) (/ (/ 1 N) (* N N)))) (+ (/ (/ (* (log (/ -1 N)) 5/81) (pow N 3)) (pow (- (log -1) (log (/ -1 N))) 3)) (/ (/ (* (log -1) 1/6) (* N N)) (- (log -1) (log (/ -1 N)))))) (+ (/ 1/3 (* N N)) (/ (/ (* 1/9 (log (/ -1 N))) (pow N 3)) (* (- (log -1) (log (/ -1 N))) (- (log -1) (log (/ -1 N)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 3 * [misc]none: Non-fresh alt: (λ (N) (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N))) * [misc]none: Non-fresh alt: (λ (N) (log (/ (+ N 1) N))) * [misc]none: Fresh alt: (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))): 0 * [misc]none: Best fresh alt per point * [misc]none: (3.9135950474809954e+67): 0 * [misc]none: (1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136): 0 * [misc]none: (8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266): 0 * [misc]none: (9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06): 0 * [misc]none: (8.105463665693362e-194): 0 * [misc]none: (5.027897585816787e-27): 0 * [misc]none: (0.3310558223342685): 0 * [misc]none: (8.127248813391785e+226): 0 * [misc]none: (7.299372666988037e-80): 0 * [misc]none: (3.506434173585025e+201): 0 * [misc]none: (2.0971939106770033e-216): 0 * [misc]none: (1.504878381563487e-123): 0 * [misc]none: (8.06210226572923e-308): 0 * [misc]none: (1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100): 0 * [misc]none: (2.0724540688985427e-14): 0 * [misc]none: (7.930730410937821e+23): 0 * [misc]none: (1.2219765589404705e+117): 0 * [misc]none: (4.8815870270916733e+188): 0 * [misc]none: (6.537529222720653e-92): 0 * [misc]none: (3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194): 0 * [misc]none: (5.0297272719312193e+287): 0 * [misc]none: (5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28): 0 * [misc]none: (5.540829799846932e-307): 0 * [misc]none: (8.949756960721031e-195): 0 * [misc]none: (2.722605535602291e+155): 0 * [misc]none: (2.9453252035345084e+174): 0 * [misc]none: (1.0160216232612932e-143): 0 * [misc]none: (4.178563936936926e-127): 0 * [misc]none: (2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180): 0 * [misc]none: (2.5453262068352747e+307): 0 * [misc]none: (1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111): 0 * [misc]none: (8.788013174305029e-230): 0 * [misc]none: (2.5557776305939374e+86): 0 * [misc]none: (3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307): 0 * [misc]none: (1.2607016124581028e+98): 0 * [misc]none: (6.351701463874224e-34): 0 * [misc]none: (1.1127979592570306e-297): 0 * [misc]none: (2.0134175477923286e-117): 0 * [misc]none: (3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137): 0 * [misc]none: (5.027318832526334e+284): 0 * [misc]none: (1.0214816826091913e+147): 0 * [misc]none: (9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187): 0 * [misc]none: (4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33): 0 * [misc]none: (1.0684729481870001e-64): 0 * [misc]none: (6.3073426358942834e+75): 0 * [misc]none: (3.1520683467019444e-71): 0 * [misc]none: (0.19659739803111875): 0 * [misc]none: (7.786539791485611e+181): 0 * [misc]none: (2.4995037253728046e-268): 0 * [misc]none: (4.637177905335891e-10): 0 * [misc]none: (8.652041834233969e-101): 0 * [misc]none: (3.209451012414084e+270): 0 * [misc]none: (3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247): 0 * [misc]none: (6.160331831501279e+241): 0 * [misc]none: (3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30): 0 * [misc]none: (4.7140908881238785e+103): 0 * [misc]none: (2.3604863517900675e+30): 0 * [misc]none: (6.476730028728146e-228): 0 * [misc]none: (3.369115258471057e+173): 0 * [misc]none: (1.3383461391823352e+303): 0 * 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(8.452539306620761e+219): 2 * [misc]none: (4.4485313287564445e+252): 2 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 2 * [misc]none: (1.5780761566396397e+125): 2 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 2 * [misc]none: (8.976998414840432e+184): 2 * [misc]none: (3.9122094377392414e+59): 2 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 2 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (1.43328810513268e+174): 2 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 2 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 2 * [misc]none: (8.398043771606399e+47): 2 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (8.932193317773552e+156): 2 * [misc]none: (6.614130481633629e+300): 2 * [misc]none: (1.3240207557849338e+291): 2 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 2 * [misc]none: (4.84788597345363e+32): 2 * [misc]none: (1.0657402022625375e+129): 2 * [misc]none: (1.7927880379985524e+252): 2 * [misc]none: (1.0006462262322276e+238): 2 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 2 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 2 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 2 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (1.782256728493473e+35): 2 * [misc]none: (6.657191501816709e+167): 2 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (2.0703305241322436e+71): 2 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 2 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (4.384610242475067e+141): 2 * [misc]none: (1.4474621781713568e+65): 2 * [misc]none: (5.154503491655989e+241): 2 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 2 * [misc]none: (5.013161881068948e+307): 2 * [misc]none: (66089027839097.664): 2 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (N) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 N) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 N)) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/2 -1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/2 -1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) in N * [misc]taylor: Taking taylor expansion of (+ 0 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 0 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) in N * [misc]taylor: Taking taylor expansion of (+ 0 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 0 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 N) N) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 N) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (+ 0 (/ 1 (/ 1 N))) (/ (/ 1/2 (/ 1 N)) (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (+ 0 (/ 1 (/ 1 N))) (/ (/ 1/2 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 0 (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 0 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (- (+ 0 (/ 1 (/ 1 N))) (/ (/ 1/2 (/ 1 N)) (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 0 (/ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of 0 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 N)) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) * [misc]approximate: Taking taylor expansion of (- (+ 0 (/ 1 (/ 1 (- N)))) (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (+ 0 (/ 1 (/ 1 (- N)))) (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (+ 0 (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 0 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/2 -1) into 1/2 * [misc]taylor: Taking taylor expansion of (- (+ 0 (/ 1 (/ 1 (- N)))) (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (+ 0 (/ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of 0 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1/2 (/ 1 (- N))) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1/2 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1/2 in N * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1/2 -1) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ -1/2 -1) into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1/2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (/ 1/2 (* N N))) * [exit]simplify: Simplified to (log (/ 1/2 (* N N))) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1/2 (* N N))) * [exit]simplify: Simplified to (exp (/ 1/2 (* N N))) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ 1/2 N) N)) (cbrt (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) * [exit]simplify: Simplified to (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) * [enter]simplify: Simplifying (cbrt (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1/2 (* N N))) * [exit]simplify: Simplified to (cbrt (/ 1/2 (* N N))) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (pow (/ 1/2 (* N N)) 3) * [exit]simplify: Simplified to (pow (/ 1/2 (* N N)) 3) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/2 (* N N))) * [exit]simplify: Simplified to (sqrt (/ 1/2 (* N N))) * [enter]simplify: Simplifying (sqrt (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1/2 (* N N))) * [exit]simplify: Simplified to (sqrt (/ 1/2 (* N N))) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1/2 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ 1/2 N)) * [exit]simplify: Simplified to (- (/ 1/2 N)) * [enter]simplify: Simplifying (- N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- N) * [exit]simplify: Simplified to (- N) * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1/2 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N (/ N 1/2)) * [exit]simplify: Simplified to (* N (/ N 1/2)) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (cbrt (/ 1/2 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (cbrt (/ 1/2 N))) * [exit]simplify: Simplified to (/ N (cbrt (/ 1/2 N))) * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (sqrt (/ 1/2 N))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (/ N (sqrt (/ 1/2 N))) * [exit]simplify: Simplified to (/ N (sqrt (/ 1/2 N))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1/2 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N (/ N 1/2)) * [exit]simplify: Simplified to (* N (/ N 1/2)) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ N (/ 1 N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* N N) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* N N) * [exit]simplify: Simplified to (* N N) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (+ 0 (/ 1 N))) (exp (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 N) (/ 1/2 (* N N)))) * [exit]simplify: Simplified to (exp (- (/ 1 N) (/ 1/2 (* N N)))) * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log (- (/ 1 N) (/ (/ 1/2 N) N))) * [exit]simplify: Simplified to (log (- (/ 1 N) (/ (/ 1/2 N) N))) * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 N) (/ 1/2 (* N N)))) * [exit]simplify: Simplified to (exp (- (/ 1 N) (/ 1/2 (* N N)))) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) (cbrt (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (cbrt (- (/ 1 N) (/ 1/2 (* N N))))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (cbrt (- (/ 1 N) (/ 1/2 (* N N))))) * [enter]simplify: Simplifying (cbrt (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (/ 1/2 N) N))) * [exit]simplify: Simplified to (cbrt (- (/ 1 N) (/ (/ 1/2 N) N))) * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 N) (/ (/ 1/2 N) N)) 3) * [exit]simplify: Simplified to (pow (- (/ 1 N) (/ (/ 1/2 N) N)) 3) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 N) (/ (/ 1/2 N) N))) * [exit]simplify: Simplified to (sqrt (- (/ 1 N) (/ (/ 1/2 N) N))) * [enter]simplify: Simplifying (sqrt (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 N) (/ (/ 1/2 N) N))) * [exit]simplify: Simplified to (sqrt (- (/ 1 N) (/ (/ 1/2 N) N))) * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (pow 0 3) (pow (/ 1 N) 3)) N) (* (+ (* 0 0) (- (* (/ 1 N) (/ 1 N)) (* 0 (/ 1 N)))) (/ 1/2 N))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 N) (* N N)) (- N 1/2)) * [exit]simplify: Simplified to (* (/ (/ 1 N) (* N N)) (- N 1/2)) * [enter]simplify: Simplifying (* (+ (* 0 0) (- (* (/ 1 N) (/ 1 N)) (* 0 (/ 1 N)))) N) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ 1 N) * [exit]simplify: Simplified to (/ 1 N) * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (* 0 0) (* (/ 1 N) (/ 1 N))) N) (* (- 0 (/ 1 N)) (/ 1/2 N))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (* (- (/ 1 N)) (* (/ 1 N) (- N 1/2))) * [exit]simplify: Simplified to (* (- (/ 1 N)) (* (/ 1 N) (- N 1/2))) * [enter]simplify: Simplifying (* (- 0 (/ 1 N)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (+ 0 (/ 1 N)) 3) (pow (/ (/ 1/2 N) N) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 N) (* N N)) (pow (/ 1/2 (* N N)) 3)) * [exit]simplify: Simplified to (- (/ (/ 1 N) (* N N)) (pow (/ 1/2 (* N N)) 3)) * [enter]simplify: Simplifying (+ (* (+ 0 (/ 1 N)) (+ 0 (/ 1 N))) (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (+ (/ 1/2 N) 1) (* (/ 1 N) (/ 1 N)))) * [exit]simplify: Simplified to (+ (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N)) (* (+ (/ 1/2 N) 1) (* (/ 1 N) (/ 1 N)))) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (- 1/2) (* N N)) * [exit]simplify: Simplified to (/ (- 1/2) (* N N)) * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ 0 (/ 1 N)) (+ 0 (/ 1 N))) (* (/ (/ 1/2 N) N) (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (- (/ 1 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) * [exit]simplify: Simplified to (- (/ 1 (* N N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) * [enter]simplify: Simplifying (+ (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1/2 N) N) (/ 1 N)) * [exit]simplify: Simplified to (+ (/ (/ 1/2 N) N) (/ 1 N)) * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (+ 0 (/ 1 N))) (sqrt (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1/2 (* N N))) (sqrt (/ 1 N))) * [exit]simplify: Simplified to (+ (sqrt (/ 1/2 (* N N))) (sqrt (/ 1 N))) * [enter]simplify: Simplifying (- (sqrt (+ 0 (/ 1 N))) (sqrt (/ (/ 1/2 N) N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) * [exit]simplify: Simplified to (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (/ 1/2 N) N)) * [exit]simplify: Simplified to (- (/ 1 N) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ 1/2 (* N N))) * [exit]simplify: Simplified to (- (/ 1 N) (/ 1/2 (* N N))) * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ 1/2 N) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (- 1/2) (* N N)) * [exit]simplify: Simplified to (/ (- 1/2) (* N N)) * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 0 (/ 1 N)) (/ 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 0 (/ 1 N)) (/ 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 0 (/ 1 N)) (/ 1/2 (pow N 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (/ 1 N) (/ (/ 1/2 N) N)) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (- 1 (/ 1/2 N)) N) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (- 1 (/ 1/2 N)) N) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (- 1 (/ 1/2 N)) N) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # #) * [misc]regimes: searching between 1.3914407489683849 and 1.7763568394002505e-14 on (- (log (+ N 1)) (log N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 66089027839097.664 and 0.3310558223342685 on N * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.3914407489683847 and 3.410605131648481e-13 on (- (* (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1)))) (log N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.3914407489683849 and 1.5099033134902015e-14 on (log (/ (+ N 1) N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 1 have 4 / 16 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 1 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.020638612995895 and 1.000000000000015 on (/ (+ N 1) N) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 1 have 5 / 16 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 2 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 3 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 3 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * [misc]regimes: searching between 1.9947490699956647e-308 and -1.5414902021649861 on (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 2 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 1 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 1 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 1 have 6 / 16 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 18 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 17 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 1 have 7 / 16 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 2 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 3 have 11 / 16 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 15 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 1 have 9 / 16 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 14 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 1 have 8 / 16 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 2 have 10 / 16 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 12 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 13 / 16 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (- (log (+ N 1)) (log N)) 1.8083738955933017e-14) #s(sp 1 (- (log (+ N 1)) (log N)) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (- (log (+ N 1)) (log N)) 1.8083738955933017e-14) (- (+ 0 (/ 1 N)) (/ (/ 1/2 N) N)) (log (/ (+ N 1) N))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (if (<= (- (log (+ 1 N)) (log N)) 1.8083738955933017e-14) (- (/ 1 N) (/ (/ 1/2 N) N)) (log (/ (+ 1 N) N))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3971 additional inputs, on iter 1 have 4029 / 8000 * * * * [misc]points: Computing exacts on every 248 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 124 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 3971 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 3971 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1991 additional inputs, on iter 2 have 6009 / 8000 * * * * [misc]points: Computing exacts on every 124 of 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 1991 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 1991 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 985 additional inputs, on iter 3 have 7015 / 8000 * * * * [misc]points: Computing exacts on every 61 of 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 30 of 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 985 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 985 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 514 additional inputs, on iter 4 have 7486 / 8000 * * * * [misc]points: Computing exacts on every 32 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 16 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 514 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 263 additional inputs, on iter 5 have 7737 / 8000 * * * * [misc]points: Computing exacts on every 16 of 263 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 of 263 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 263 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 263 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 263 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 119 additional inputs, on iter 6 have 7881 / 8000 * * * * [misc]points: Computing exacts on every 7 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 119 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 61 additional inputs, on iter 7 have 7939 / 8000 * * * * [misc]points: Computing exacts on every 3 of 61 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 61 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 8 have 7971 / 8000 * * * * [misc]points: Computing exacts for 29 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 9 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 10 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 12 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs