* [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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 42 additional inputs, on iter 1 have 214 / 256 * * * * [misc]points: Computing exacts on every 2 of 42 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 42 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 2 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 2 * [misc]none: All alts: 2 * [misc]none: Fresh alt: (λ (a b) (* (/ (- (/ 1 a) 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3.7907433031673317e-256): 0 * [misc]none: (8.76720870691781e-247 6.160331831501279e+241): 0 * [misc]none: (-4.568727829143705e-23 -1.757665168464323e+292): 0 * [misc]none: (-7.388307231162813e-47 3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30 4.7140908881238785e+103): 1 * [misc]none: (2.3604863517900675e+30 6.476730028728146e-228): 0 * [misc]none: (-1.2222609474395545e-52 3.369115258471057e+173): 0 * [misc]none: (1.3383461391823352e+303 -2.6712990814490822e+247): 0 * [misc]none: (2.3157792094796435e+174 -9.842315617180003e+283): 0 * [misc]none: (-8.795626148255621e+120 -5.857596831984434e-95): 0 * [misc]none: (4.097601147132013e-78 4.194634882433556e+107): 0 * [misc]none: (-1.1526493241483084e+241 3.3390334975960143e-07): 0 * [misc]none: (-1.8082167822566404e+183 2.2475155879831534e-92): 0 * [misc]none: (-4.169290160322216e+246 1.030614327019319e-115): 0 * [misc]none: (-3.2696794723802255e-27 1.8172920677413648e+103): 0 * [misc]none: (-5.3218781381905035e-129 -2.362048596457182e+298): 0 * [misc]none: (-6.16723792553022e+40 -2.40789942954366e+44): 1 * [misc]none: (1.186346974675696e+155 -1.2827160692503531e+104): 0 * [misc]none: (6.283729883572828e+84 3.6636765762957594e-187): 0 * [misc]none: (1.7036347403091437e+117 9.645064592867311e+67): 1 * [misc]none: (-5.1224941914889595e+118 1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10 -4.3661371414490136e+281): 0 * [misc]none: (-1.4301261995935981e+54 2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78 2.43524332605807e-278): 0 * [misc]none: (1.0576788912710565e-08 -17241.138101224224): 0 * [misc]none: (4.764080499693186e-90 -7.290271346747531e-14): 0 * [misc]none: (1.3557350350348342e+244 -1.3554385625614067e+48): 0 * [misc]none: (-1.8946459759589086e-22 1.89639974853721e+92): 0 * [misc]none: (8.2625435987749e+74 5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58 2.884705125857619e-274): 0 * [misc]none: (2.031068672850261e-255 2.4294527094706238e+82): 0 * [misc]none: (7.274711555473555e+146 1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37 -5.55277905008488e-191): 0 * [misc]none: (-2.1360290498375943e+32 4.642568065399805e-260): 1 * [misc]none: (-4.493058001076021e-21 -2.6740094065663153e+105): 1 * [misc]none: (3.8347842435652736e+125 -9.848724265902522e+103): 0 * [misc]none: (-3.954815085266754e+305 1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29 -1.2486100740485319e+302): 0 * [misc]none: (-143677164285.72263 -4.897389787642899e+104): 0 * [misc]none: (1.868517529275615e+140 -2.5024214599876482e+172): 0 * [misc]none: (1.5276944825842992e+272 2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229 3.2587696828142436e+75): 0 * [misc]none: (-1.5310860302360472e-220 3.7735141958833343e+170): 0 * [misc]none: (5.348181441205713e-277 -5.024170449312866e+115): 1 * [misc]none: (-1.611431508373217e+195 2.6631876145177815e-299): 0 * [misc]none: (-1.3496423811442664e+228 -6.4194246582119476e+212): 0 * [misc]none: (-2.1294463337627754e-19 3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183 -6.156933300042242e+249): 0 * [misc]none: (-2.249022094261578e+256 -4.347828572616086e-184): 0 * [misc]none: (1.0395093493101161e-28 -6.035695609668586e-193): 0 * [misc]none: (8.949756960721031e-195 2.722605535602291e+155): 0 * [misc]none: (-4.714069429956778e+287 2.9453252035345084e+174): 0 * [misc]none: (-5.843713571039491e+54 1.0160216232612932e-143): 0 * [misc]none: (-2.425692316345541e+35 -2.0645141541195737e-123): 0 * [misc]none: (4.178563936936926e-127 2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180 -7.809772272521888e+231): 0 * [misc]none: (-1.0023220030653375e-143 2.5453262068352747e+307): 0 * [misc]none: (-2.708463803258993e-217 2.5557776305939374e+86): 0 * [misc]none: (-7.843719408056975e+200 -5.36699847063349e-281): 0 * [misc]none: (4.896551008070313e-307 1.2607016124581028e+98): 0 * [misc]none: (-1.1510973857640039e-232 -1.6396360397102689e+220): 0 * [misc]none: (-4.631295923206326e+93 -3.257471673811612e-50): 0 * [misc]none: (-8.226715035278119e-287 -2.255644969852512e+52): 0 * [misc]none: (2.0134175477923286e-117 3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137 -1.9002484997441084e+30): 0 * [misc]none: (5.027318832526334e+284 1.0214816826091913e+147): 0 * [misc]none: (-2.018162200747419e+293 9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187 -2.867904353761743e+219): 0 * [misc]none: (-2.421523337020965e+257 4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33 -1.7776992082231396e+54): 1 * [misc]none: (-1.434814592155953e+91 1.504878381563487e-123): 0 * [misc]none: (-3.141023895275641e+245 -3.001476290410935e-269): 0 * [misc]none: (8.06210226572923e-308 1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100 -4.31661667731193e-265): 0 * [misc]none: (2.0724540688985427e-14 7.930730410937821e+23): 0 * [misc]none: (1.2219765589404705e+117 -2.933277138800709e+90): 0 * [misc]none: (4.8815870270916733e+188 -1.5358179930137542e+240): 0 * [misc]none: (-4.258931337566508e+98 -1.144012682699149e-39): 0 * [misc]none: (6.537529222720653e-92 -1.945641295132362e+247): 0 * [misc]none: (-2.0251187412162225e-215 3.5709688782890513e-43): 0 * [misc]none: (4.870593988390179e-194 5.0297272719312193e+287): 0 * [misc]none: (-4.2293501993920744e-96 -2.936155159322882e+301): 0 * [misc]none: (-7.874126038339784e+73 -2.0493644688447925e+84): 0 * [misc]none: (0.3310558223342685 -7.980090992758681e-50): 0 * [misc]none: (-1.0048785011627561e-129 8.127248813391785e+226): 0 * [misc]none: (-1.483643755550628e-284 -2.8769042098391767e+238): 0 * [misc]none: (3.506434173585025e+201 1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136 8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266 9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06 -3.752236763580095e-230): 0 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (3.9135950474809954e+67 -2.028037433935809e-224): 0 * [misc]none: (-3.943510659225903e+212 8.87668088957479e+21): 0 * [misc]none: (4.513009124607983e-82 -1.952161770664997e+168): 0 * [misc]none: (-3.2026896500136593e+106 3.9964248706286793e+300): 0 * [misc]none: (4.3776582898304966e+81 1.5274484190953342e-17): 0 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 1 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 0 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 0 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: Picked alt (λ (a b) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (* (+ b a) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ -1 (* -1 (pow a 2))) into (/ 1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b -1) (* 1 b)) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (pow b 2)) (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into (- (/ 1 (pow b 3))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 3))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (/ 0 1)) (* 0 (/ 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 (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ 1 (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ 1 (pow b 3))) (/ 0 (pow b 2))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (/ 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]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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 (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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 (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* b (/ 0 -1)))) into (- 1) * [misc]taylor: Taking taylor expansion of (- 1) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (+ (* (/ 1 b) (/ 0 b)))) 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 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* b (/ (/ 1 (pow b 2)) -1)) (* (- 1) (/ 0 -1)))) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- a) 1) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [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 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 b))) (* (- (/ 1 b)) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* (* -1 b) (/ 0 -1)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) (- (/ 1 b))) (* 0 1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 b) (/ (/ 1 (pow b 2)) -1)) (* 1 (/ 0 -1)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (* (+ b a) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ -1 (* -1 (pow a 2))) into (/ 1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (/ 1 (pow b 2)) (* 1/2 PI)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* b -1) (* 1 b)) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (pow b 2)) (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into (- (/ 1 (pow b 3))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (* (- (/ 1 (pow b 3))) (* 1/2 PI))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ 1 (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ 1 (pow b 3))) (/ 0 (pow b 2))))) into (/ 1 (pow b 4)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow b 2)) 0) (+ (* (- (/ 1 (pow b 3))) 0) (* (/ 1 (pow b 4)) (* 1/2 PI)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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 (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [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 (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* b (* 1/2 PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* b (/ 0 -1)))) into (- 1) * [misc]backup-simplify: Simplify (+ (* b 0) (* (- 1) (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (- (+ (* (/ 1 b) (/ 0 b)))) 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 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* b (/ (/ 1 (pow b 2)) -1)) (* (- 1) (/ 0 -1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* (- 1) 0) (* (/ 1 b) (* 1/2 PI)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- a) 1) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 (/ b -1) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (* -1 b) (* 1/2 PI)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [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 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 b))) (* (- (/ 1 b)) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ -1 -1) (+ (* (* -1 b) (/ 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 b) 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) (- (/ 1 b))) (* 0 1))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 b) (/ (/ 1 (pow b 2)) -1)) (* 1 (/ 0 -1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* (* -1 b) 0) (+ (* 1 0) (* (- (/ 1 b)) (* 1/2 PI)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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) into -1 * [misc]backup-simplify: Simplify -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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 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) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (+ b a) (- b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (* -1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 1 (- a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) 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 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) 0) (+ (* 0 (- (/ 1 a))) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 a))) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) 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 in a * [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 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 a)) (* (- (/ 1 a)) -1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) 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) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -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 (- 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) 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) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) 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) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 2 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 3 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ b a)) (log (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 5 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (* (- b a) (+ b a)))) * * * * [misc]progress: [ 6 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 7 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 8 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (/ (pow (- (/ 1 a) (/ 1 b)) 3) (* (pow (- b a) 3) (pow (+ b a) 3))) * [exit]simplify: Simplified to (/ (pow (- (/ 1 a) (/ 1 b)) 3) (* (pow (- b a) 3) (pow (+ b a) 3))) * * * * [misc]progress: [ 9 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) 3) * * * * [misc]progress: [ 10 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 11 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) 3) * * * * [misc]progress: [ 12 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 13 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [enter]simplify: Simplifying (- (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * * * * [misc]progress: [ 14 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (- b a)) (+ b a)) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (- b a)) (+ b a)) * [enter]simplify: Simplifying (/ (/ 1 b) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (+ a b)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ 1 b) (+ a b)) (- b a)) * * * * [misc]progress: [ 15 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [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 (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * * * * [misc]progress: [ 16 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [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 (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * * * [misc]progress: [ 17 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 18 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (+ a b)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (+ a b)) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * * * [misc]progress: [ 19 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 20 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 21 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 22 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 23 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 25 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 26 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 27 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 28 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 29 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 30 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 31 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 32 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 33 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 34 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 35 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (- a) (* a a) (pow b 3))) (fma a (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (- a) (* a a) (pow b 3))) (fma a (* a a) (pow b 3))) * * * * [misc]progress: [ 36 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) a (pow b 3))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) a (pow b 3))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 37 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (fma (* a a) (- a) (pow b 3))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (fma (* a a) (- a) (pow b 3))) * * * * [misc]progress: [ 38 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (- (* b b) (* a a))) * * * * [misc]progress: [ 39 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) (- a) (pow b 3))) (+ b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) (- a) (pow b 3))) (+ b a)) * * * * [misc]progress: [ 40 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (+ b a)) * * * * [misc]progress: [ 41 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (fma a (* a a) (pow b 3)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (fma a (* a a) (pow b 3)))) * * * * [misc]progress: [ 42 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (- (* b b) (* a a)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (- b a))) (+ b a)) * * * * [misc]progress: [ 43 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (* (* (- b a) (* a b)) (+ a b)) * [exit]simplify: Simplified to (* (* (- b a) (* a b)) (+ a b)) * * * * [misc]progress: [ 44 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (- b a)) (fma (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ 1 (* a a)))) * [exit]simplify: Simplified to (* (* (+ a b) (- b a)) (fma (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ 1 (* a a)))) * * * * [misc]progress: [ 45 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (* (+ (/ 1 a) (/ 1 b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (* (+ (/ 1 a) (/ 1 b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 46 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 47 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 48 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 49 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ b a)) (log (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (- b a))) (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a)))) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (- b a))) (- (log (- (/ 1 a) (/ 1 b))) (log (+ b a)))) * * * * [misc]progress: [ 51 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- (/ 1 a) (/ 1 b))) (log (* (+ b a) (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (log (* (- b a) (+ b a))) (log (/ PI 2)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (log (* (- b a) (+ b a))) (log (/ PI 2)))) * * * * [misc]progress: [ 52 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 2)) (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (+ (log (/ PI 2)) (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 53 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (log (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * [exit]simplify: Simplified to (log (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * * * [misc]progress: [ 54 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (pow (sqrt (exp PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (pow (sqrt (exp PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 55 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a)))) (* (* (/ PI 2) (/ PI 2)) (/ PI 2))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (* (+ b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (* (/ PI 2) (/ PI 2)) (* (- b a) (- b a))))) * [exit]simplify: Simplified to (* (/ (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (* (+ b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) (* (/ (/ PI 2) (* (+ b a) (- b a))) (/ (* (/ PI 2) (/ PI 2)) (* (- b a) (- b a))))) * * * * [misc]progress: [ 56 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)))) (* (* (/ PI 2) (/ PI 2)) (/ PI 2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (* (* (/ (* (/ PI 2) (/ PI 2)) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (* (* (/ (* (/ PI 2) (/ PI 2)) (* (+ b a) (- b a))) (/ (/ PI 2) (* (+ b a) (- b a)))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 57 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (* (* (/ PI 2) (/ PI 2)) (/ PI 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (* (- b a) (+ b a)) (pow (/ PI 2) 3)))) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (* (- b a) (+ b a)) (pow (/ PI 2) 3)))) * * * * [misc]progress: [ 58 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 2 (/ PI (- b a))))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 2 (/ PI (- b a)))))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 2 (/ PI (- b a))))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ 2 (/ PI (- b a)))))) * [enter]simplify: Simplifying (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 59 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) 3) * * * * [misc]progress: [ 60 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * [enter]simplify: Simplifying (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (/ PI 2)))) * * * * [misc]progress: [ 61 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) PI) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * * * * [misc]progress: [ 62 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (* (cbrt (/ PI 2)) (cbrt (/ PI 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 64 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (sqrt (/ PI 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI 2)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (* (/ (sqrt (/ PI 2)) (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 65 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 66 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) PI) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 67 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (/ PI 2) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 68 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (/ PI 2) (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 69 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 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 (148 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (- b a))) * * * * [misc]progress: [ 70 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 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 (148 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (- b a))) * * * * [misc]progress: [ 71 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 72 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (- b a) (/ 2 PI))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (- b a) (/ 2 PI))) * * * * [misc]progress: [ 73 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 74 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 75 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 76 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 77 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 78 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (* (+ b a) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (476 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (- b a) 2)) * * * * [misc]progress: [ 79 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a)))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (* (fma a (- a b) (* b b)) (/ PI 2)) (fma a (+ b a) (* b b))) * [exit]simplify: Simplified to (* (* (fma a (- a b) (* b b)) (/ PI 2)) (fma a (+ b a) (* b b))) * * * * [misc]progress: [ 80 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (* b b) (- (* a a) (* b a))) (+ b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (/ PI 2)) (fma a (- a b) (* b b))) * [exit]simplify: Simplified to (* (* (+ b a) (/ PI 2)) (fma a (- a b) (* b b))) * * * * [misc]progress: [ 81 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) (+ (* b b) (+ (* a a) (* b a)))) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (* (* (/ PI 2) (- b a)) (fma (+ a b) a (* b b))) * [exit]simplify: Simplified to (* (* (/ PI 2) (- b a)) (fma (+ a b) a (* b b))) * * * * [misc]progress: [ 82 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) (+ b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ PI 2)) (- b a)) * [exit]simplify: Simplified to (* (* (+ a b) (/ PI 2)) (- b a)) * * * * [misc]progress: [ 83 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (+ (* a a) (* b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (/ (fma b (+ b a) (* a a)) (/ 2 PI)) * [exit]simplify: Simplified to (/ (fma b (+ b a) (* a a)) (/ 2 PI)) * * * * [misc]progress: [ 84 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (/ PI 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (+ a b) (/ 2 PI)) * [exit]simplify: Simplified to (/ (+ a b) (/ 2 PI)) * * * * [misc]progress: [ 85 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (* (fma (- a b) a (* b b)) (/ PI 2)) * [exit]simplify: Simplified to (* (fma (- a b) a (* b b)) (/ PI 2)) * * * * [misc]progress: [ 86 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ PI 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (- b a) (/ PI 2)) * [exit]simplify: Simplified to (* (- b a) (/ PI 2)) * * * * [misc]progress: [ 87 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) PI) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ b a))) * * * * [misc]progress: [ 88 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 89 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 91 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 92 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 93 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 94 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 95 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 96 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 97 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 98 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 99 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 100 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 101 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 102 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 103 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 104 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 105 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 106 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 107 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 108 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 109 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 110 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 111 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 112 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 113 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 115 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 116 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 117 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * * * * [misc]progress: [ 118 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 119 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 120 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (fma (/ 1 a) (+ (/ 1 b) (/ 1 a)) (/ (/ 1 b) b)) * [exit]simplify: Simplified to (fma (/ 1 a) (+ (/ 1 b) (/ 1 a)) (/ (/ 1 b) b)) * * * * [misc]progress: [ 121 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 122 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * * * * [misc]progress: [ 124 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * * * [misc]progress: [ 125 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 126 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 127 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 128 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 129 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 130 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (expm1 (* (+ a b) (- b a))) * [exit]simplify: Simplified to (expm1 (* (+ a b) (- b a))) * * * * [misc]progress: [ 131 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (log1p (* (+ a b) (- b a))) * [exit]simplify: Simplified to (log1p (* (+ a b) (- b a))) * * * * [misc]progress: [ 132 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 133 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ b a)) (log (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (+ (log (- b a)) (log (+ a b))) * [exit]simplify: Simplified to (+ (log (- b a)) (log (+ a b))) * * * * [misc]progress: [ 135 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (log (* (+ a b) (- b a))) * [exit]simplify: Simplified to (log (* (+ a b) (- b a))) * * * * [misc]progress: [ 136 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (exp (* (+ a b) (- b a))) * [exit]simplify: Simplified to (exp (* (+ a b) (- b a))) * * * * [misc]progress: [ 137 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (pow (- b a) 3) (pow (+ a b) 3)) * [exit]simplify: Simplified to (* (pow (- b a) 3) (pow (+ a b) 3)) * * * * [misc]progress: [ 138 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ b a) (- b a))) (cbrt (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ a b) (- b a))) (cbrt (* (+ a b) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (* (+ a b) (- b a))) (cbrt (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (cbrt (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (cbrt (* (+ a b) (- b a))) * [exit]simplify: Simplified to (cbrt (* (+ a b) (- b a))) * * * * [misc]progress: [ 139 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * [exit]simplify: Simplified to (pow (* (+ a b) (- b a)) 3) * [exit]simplify: Simplified to (pow (* (+ a b) (- b a)) 3) * * * * [misc]progress: [ 140 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * [enter]simplify: Simplifying (sqrt (* (+ b a) (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * [exit]simplify: Simplified to (sqrt (* (+ a b) (- b a))) * * * * [misc]progress: [ 141 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3))) * [exit]simplify: Simplified to (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3))) * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (fma (+ b a) a (* b b)) (fma (- a b) a (* b b))) * [exit]simplify: Simplified to (* (fma (+ b a) a (* b b)) (fma (- a b) a (* b b))) * * * * [misc]progress: [ 142 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (* (- (* b b) (* a a)) (fma a (* a a) (pow b 3))) * [exit]simplify: Simplified to (* (- (* b b) (* a a)) (fma a (* a a) (pow b 3))) * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (+ b a) (fma a (- a b) (* b b))) * [exit]simplify: Simplified to (* (+ b a) (fma a (- a b) (* b b))) * * * * [misc]progress: [ 143 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (* (fma (* a a) (- a) (pow b 3)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (* (fma (* a a) (- a) (pow b 3)) (* (+ b a) (- b a))) * [enter]simplify: Simplifying (* (- b a) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (* (fma (+ a b) a (* b b)) (- b a)) * [exit]simplify: Simplified to (* (fma (+ a b) a (* b b)) (- b a)) * * * * [misc]progress: [ 144 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b b) (* a a)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * [exit]simplify: Simplified to (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) * [enter]simplify: Simplifying (* (- b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * * * * [misc]progress: [ 145 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) b) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [enter]simplify: Simplifying (* (+ b a) (- a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 147 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) b) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [enter]simplify: Simplifying (* (+ b a) (- a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 148 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [enter]simplify: Simplifying (* (- a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 149 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* b (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* b (+ a b)) * [exit]simplify: Simplified to (* b (+ a b)) * [enter]simplify: Simplifying (* (- a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (+ a b) (- a)) * [exit]simplify: Simplified to (* (+ a b) (- a)) * * * * [misc]progress: [ 150 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (* (* (+ a b) (cbrt (- b a))) (cbrt (- b a))) * * * * [misc]progress: [ 151 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (+ a b) (sqrt (- b a))) * [exit]simplify: Simplified to (* (+ a b) (sqrt (- b a))) * * * * [misc]progress: [ 152 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (+ a b) * [exit]simplify: Simplified to (+ a b) * * * * [misc]progress: [ 153 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ b a)) (- b a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (+ a b)) (- b a)) * [exit]simplify: Simplified to (* (cbrt (+ a b)) (- b a)) * * * * [misc]progress: [ 154 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ b a)) (- b a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (+ a b)) (- b a)) * [exit]simplify: Simplified to (* (sqrt (+ a b)) (- b a)) * * * * [misc]progress: [ 155 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 156 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (* (+ a b) (fma (* a a) (- a) (pow b 3))) * [exit]simplify: Simplified to (* (+ a b) (fma (* a a) (- a) (pow b 3))) * * * * [misc]progress: [ 157 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (* (- b a) (* (+ a b) (+ a b))) * [exit]simplify: Simplified to (* (- b a) (* (+ a b) (+ a b))) * * * * [misc]progress: [ 158 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow b 3) (pow a 3)) (- b a)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (- b a) (fma (* a a) a (pow b 3))) * [exit]simplify: Simplified to (* (- b a) (fma (* a a) a (pow b 3))) * * * * [misc]progress: [ 159 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b b) (* a a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (- b a) (- b a))) * [exit]simplify: Simplified to (* (+ b a) (* (- b a) (- b a))) * * * * [misc]progress: [ 160 / 172 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 162 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 163 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 164 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 165 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 166 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 167 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 168 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 169 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 170 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- (pow b 2) (pow a 2))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (+ (/ (- PI) b) (/ PI a)) (* (- b a) (* 2 (+ b a)))) * * * * [misc]progress: [ 171 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- (pow b 2) (pow a 2))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (+ (/ (- PI) b) (/ PI a)) (* (- b a) (* 2 (+ b a)))) * * * * [misc]progress: [ 172 / 172 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- (pow b 2) (pow a 2))) (/ PI 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (+ (/ (- PI) b) (/ PI a)) (* (- b a) (* 2 (+ b a)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 9 * [misc]none: All alts: 9 * [misc]none: Fresh alt: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [misc]none: Fresh alt: (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (* (- b a) (+ b a)) (pow (/ PI 2) 3)))))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))) * [misc]none: Fresh alt indices * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))): 0 * [misc]none: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))): 1 * [misc]none: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))): 2 * [misc]none: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))): 3 * [misc]none: (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (* (- b a) (+ b a)) (pow (/ PI 2) 3)))))): 4 * [misc]none: (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a))) (/ PI 2))): 5 * [misc]none: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))): 6 * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))): 7 * [misc]none: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))): 8 * [misc]none: Best fresh alt per point * [misc]none: (1.2654352929763856e+201 3.676700438802301e-44): 0 * [misc]none: (-4.5884699527721836e-114 5.519538337069105e+160): 0 * [misc]none: (-3.884002241527716e-09 3.402956999639796e+258): 0 * [misc]none: (1.529772447679324e+286 -3.3684544179202395e+273): 0 * [misc]none: (-7.470113998819676e+275 -1.8796565426908664e+204): 0 * [misc]none: (-1.099557535291122e-30 -2.3724946872194442e+266): 0 * [misc]none: (-9.99618015977074e-100 -5.970362695291997e+22): 0 * [misc]none: (-3.879179322621676e+202 3.321782785676469e-255): 0 * [misc]none: (-1.2383129644834284e+160 -1.062164837135673e+42): 0 * [misc]none: (2.2752166795075178e+129 3.459069485774471e+125): 0 * [misc]none: (6.125263020847728e+200 1.0472163764779166e+211): 0 * [misc]none: (-5.593167094268887e-190 1.7800753731525426e+39): 0 * [misc]none: (-1.9563965618862005e+178 6.863804525144902e-237): 0 * [misc]none: (-1.497130859851894e+57 3.826166416762639e+216): 0 * [misc]none: (1.1663715170234023e-33 1.821316082219445e-31): 1 * [misc]none: (-1.441560479175162e+51 -4.8973687170160837e+185): 0 * [misc]none: (5.965572216773997e-266 -1.7112087034006054e+282): 6 * [misc]none: (-8.627178870504794e+293 1.1867578517998852e-122): 0 * [misc]none: (-1.1961490139198145e+35 4.388887965185748e-231): 0 * [misc]none: (-3.990775770507464e-143 12041477.739790332): 0 * [misc]none: (-1.3991744780612765e+87 -1.8538245512787994e+136): 0 * [misc]none: (4.053980966469101e+302 2.8402608015100704e-250): 0 * [misc]none: (-1348564663705.779 -4.759757548074155e+194): 0 * [misc]none: (4.52129342202891e+175 -1.6048248782469113e+61): 0 * [misc]none: (-3.969668283468194e-23 5.258242405229196e-247): 3 * [misc]none: (-9.498386678851063e-197 -1.0709835258895982e+166): 0 * [misc]none: (2.0947420887546095e+247 -3.0889064673505896e+234): 0 * [misc]none: (-8.244426084214624e-140 2.1503851256841087e+121): 0 * [misc]none: (2.5076686139270383e-164 -0.0022300046209729825): 3 * [misc]none: (1.194061872367895e+220 1.0389358047373285e-37): 0 * [misc]none: (-2.983618099380393e-19 6.08182357871597e-19): 0 * [misc]none: (3.919727770092923e-28 -8.796417170933511e-157): 0 * [misc]none: (2.5194286288656994e+137 -2.803376858595825e-183): 0 * [misc]none: (1.2240297986851114e+251 3.45808714185781e+34): 0 * [misc]none: (7.826697678487528e+235 -1.210994144233347e-198): 0 * [misc]none: (-2.0317891841612197e-99 -6.22947928384665e-25): 2 * [misc]none: (3.1150480705854042e+199 -1.1101608934114058e+37): 0 * [misc]none: (1.882634228916084e+104 6.309071689177259e-279): 3 * [misc]none: (1.6670391926080915e+97 1.5332802818158087e+215): 0 * [misc]none: (-1.0118756898573112e+168 -2.1001979573866983e-194): 0 * [misc]none: (-4.555748018209325e-271 1.7527084173765072e+214): 6 * [misc]none: (-3.566410115265179e+77 -2.0754253193237223e+276): 0 * [misc]none: (1.4185317245467992e+152 -1.3311644893547746e+182): 0 * [misc]none: (-3.678907798082827e-113 6.040835984474006e+24): 0 * [misc]none: (-3.1450504266029292e+299 -6.998469069018224e-161): 0 * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 3 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 3 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 1 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75 -1.2086624476009651e-200): 1 * [misc]none: (2.3623052767393814e+153 4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222 -4.6390246315423324e+36): 6 * [misc]none: (1.2790861077923577e+68 1.0592112097552954e+143): 0 * [misc]none: (-7.191398511280425e-59 -2.3255237224962407e-56): 6 * [misc]none: (1.6780592368033288e-262 1.5331200777386884e+269): 0 * [misc]none: (4.5525663232975395e+86 4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176 5.752669291865014e-257): 0 * [misc]none: (-2.06284826271339e+143 -7.24722487096989e+250): 0 * [misc]none: (-2.2793842908096357e+72 -8.124520965103743e+145): 0 * [misc]none: (3.727663855470157e+254 8.775974517752829e+204): 0 * [misc]none: (-644684.1881687096 -5.072621494700167e+267): 0 * [misc]none: (-4.473451124127099e-235 1.5758037123807388e+87): 3 * [misc]none: (-3.1154131766396667e+29 2.4492953260422185e+131): 6 * [misc]none: (5.835395598392501e+198 -1.2951522948212234e+105): 0 * [misc]none: (2.2545095115116114e+189 -1.4107789582096962e+111): 0 * [misc]none: (-3.9546390943242443e-82 1.457018723838865e-35): 0 * [misc]none: (-3.30379604621756e-180 -8.185062082112633e+221): 1 * [misc]none: (-9.870003932393336e-46 -2.2727962542731896e+253): 0 * [misc]none: (6.967234360883543e-112 2.0770495361468835e+203): 0 * [misc]none: (-3.5348879909542174e+259 3.1401318723071353e-131): 0 * [misc]none: (-1.4852188300484065e-239 -3.374264737975756e+72): 0 * [misc]none: (-1.0890756353988414e+102 0.228970627026966): 0 * [misc]none: (8.40469635347052e+100 2.1321881547753267e-44): 0 * [misc]none: (6.866799226360426e-109 6.417434319517234e+231): 0 * [misc]none: (-2.5125878605191734e-29 4.508352673437809e+248): 0 * [misc]none: (-1.4801509312754967e-61 -5.163900824605852e+32): 4 * [misc]none: (1.430295312965348e-149 3.112001531242655e+80): 0 * [misc]none: (-2.6904647286120434e+306 -2.4014893155423993e+35): 0 * [misc]none: (-1.9863653303691194e-296 -1.5110806788081036e+47): 8 * [misc]none: (4.232269734875141e-205 4.1020469956028986e+24): 2 * [misc]none: (2.1703230086091624e+277 -4.725142043601307e-47): 0 * [misc]none: (2.68866513359689e-174 8.96636707501737e-13): 0 * [misc]none: (-2.3580830331388543e-23 1.6082525618587168e-259): 0 * [misc]none: (-3.386296042382532e-190 2.991170371343952e+151): 1 * [misc]none: (-7.407998779781806e-33 -7.014935371531484e-98): 0 * [misc]none: (-2.580522918977788e+184 8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59 6.754325943853309e-283): 1 * [misc]none: (-1.0323836290065946e-292 -1.1379474227414984e+157): 0 * [misc]none: (5.3887495676776976e+171 -503507.16469484643): 0 * [misc]none: (-1.9250288775511552e-19 9.871143682146977e-239): 3 * [misc]none: (-1.9809585244792104e-221 -5.324127388080003e+141): 0 * [misc]none: (5.123849747663666e+133 4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251 -7.33347091133757e-103): 0 * [misc]none: (-3.967500572333352e+95 -8.002576117532625e+293): 0 * [misc]none: (-344.7442723289036 8.452539306620761e+219): 0 * [misc]none: (-3.8897511496224356e+161 4.4485313287564445e+252): 0 * [misc]none: (7.175557259725409e-49 4.4800031186106794e-70): 1 * [misc]none: (-1.3609788364339258e+82 2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53 -4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279 2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158 -2.8955398952451435e+131): 0 * [misc]none: (1.5780761566396397e+125 1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90 -2.318158899615234e+28): 0 * [misc]none: (8.976998414840432e+184 3.9122094377392414e+59): 0 * [misc]none: 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(-6.155236203506664e+276 3.2574885636926814e-211): 0 * [misc]none: (-9.779940061204298e+60 1.3680169753287455e-53): 0 * [misc]none: (1.3610327499536486e+226 4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129 -6.206729553564092e+301): 0 * [misc]none: (1.7927880379985524e+252 -8.795577755360774e-193): 1 * [misc]none: (1.0006462262322276e+238 -9.304691570184222e+30): 0 * [misc]none: (1.9963004369674967e-80 1.4604179220567222e+231): 0 * [misc]none: (5.1990169359560766e-256 -6.08679419260233e+77): 0 * [misc]none: (-2.864119470500123e-178 -4.976800097081315e-07): 0 * [misc]none: (8.044445972631143e-28 2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184 9.74865050931635e+298): 0 * [misc]none: (-7.146083996729688e+199 8.361834195928021e-55): 0 * [misc]none: (1.782256728493473e+35 6.657191501816709e+167): 0 * [misc]none: (-1.0237963707243293e+257 -2.376464365888854e-78): 0 * [misc]none: (-3.222114505301457e-163 -7.76766480776823e+37): 0 * [misc]none: (8.382633428275648e-297 -6.191205901832185e+168): 0 * [misc]none: (2.0703305241322436e+71 6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104 8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101 -2.318802051809187e-21): 0 * [misc]none: (-2.362056093523898e-236 4.384610242475067e+141): 7 * [misc]none: (1.4474621781713568e+65 -1.410046620426318e-213): 0 * [misc]none: (-4.423020421030483e+291 -3.178469867925502e-246): 0 * [misc]none: (-7.447731371021966e+71 5.154503491655989e+241): 0 * [misc]none: (-1.6398756117817188e+244 -5.198066934157678e+220): 0 * [misc]none: (5.0588074473585105e-110 3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307 66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234 4.416557773834991e-25): 0 * [misc]none: (-7.605311329977112e+177 3.0442880854679596e-31): 0 * [misc]none: (-1.3989503218776358e-06 4.664141571059094e-118): 6 * [misc]none: (-1.8512083623442292e+194 -1.3284106669669889e+173): 0 * [misc]none: (1.0684729481870001e-64 6.3073426358942834e+75): 6 * [misc]none: (-2.217199084242749e+17 3.1520683467019444e-71): 3 * [misc]none: (0.19659739803111875 7.786539791485611e+181): 0 * [misc]none: (2.4995037253728046e-268 -26830062846468156.0): 2 * [misc]none: (4.637177905335891e-10 -12679727921.874447): 3 * [misc]none: (3.209451012414084e+270 3.7907433031673317e-256): 5 * [misc]none: (8.76720870691781e-247 6.160331831501279e+241): 1 * [misc]none: (-4.568727829143705e-23 -1.757665168464323e+292): 0 * [misc]none: (-7.388307231162813e-47 3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30 4.7140908881238785e+103): 1 * [misc]none: (2.3604863517900675e+30 6.476730028728146e-228): 3 * [misc]none: (-1.2222609474395545e-52 3.369115258471057e+173): 1 * [misc]none: (1.3383461391823352e+303 -2.6712990814490822e+247): 0 * [misc]none: (2.3157792094796435e+174 -9.842315617180003e+283): 0 * [misc]none: (-8.795626148255621e+120 -5.857596831984434e-95): 3 * [misc]none: (4.097601147132013e-78 4.194634882433556e+107): 0 * [misc]none: (-1.1526493241483084e+241 3.3390334975960143e-07): 0 * [misc]none: (-1.8082167822566404e+183 2.2475155879831534e-92): 0 * [misc]none: (-4.169290160322216e+246 1.030614327019319e-115): 0 * [misc]none: (-3.2696794723802255e-27 1.8172920677413648e+103): 0 * [misc]none: (-5.3218781381905035e-129 -2.362048596457182e+298): 0 * [misc]none: (-6.16723792553022e+40 -2.40789942954366e+44): 3 * [misc]none: (1.186346974675696e+155 -1.2827160692503531e+104): 0 * [misc]none: (6.283729883572828e+84 3.6636765762957594e-187): 4 * [misc]none: (1.7036347403091437e+117 9.645064592867311e+67): 7 * [misc]none: (-5.1224941914889595e+118 1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10 -4.3661371414490136e+281): 0 * [misc]none: (-1.4301261995935981e+54 2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78 2.43524332605807e-278): 3 * [misc]none: (1.0576788912710565e-08 -17241.138101224224): 3 * [misc]none: (4.764080499693186e-90 -7.290271346747531e-14): 0 * [misc]none: (1.3557350350348342e+244 -1.3554385625614067e+48): 0 * [misc]none: (-1.8946459759589086e-22 1.89639974853721e+92): 6 * [misc]none: (8.2625435987749e+74 5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58 2.884705125857619e-274): 3 * [misc]none: (2.031068672850261e-255 2.4294527094706238e+82): 1 * [misc]none: (7.274711555473555e+146 1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37 -5.55277905008488e-191): 3 * [misc]none: (-2.1360290498375943e+32 4.642568065399805e-260): 0 * [misc]none: (-4.493058001076021e-21 -2.6740094065663153e+105): 6 * [misc]none: (3.8347842435652736e+125 -9.848724265902522e+103): 0 * [misc]none: (-3.954815085266754e+305 1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29 -1.2486100740485319e+302): 0 * [misc]none: (-143677164285.72263 -4.897389787642899e+104): 0 * [misc]none: (1.868517529275615e+140 -2.5024214599876482e+172): 0 * [misc]none: (1.5276944825842992e+272 2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229 3.2587696828142436e+75): 0 * [misc]none: (-1.5310860302360472e-220 3.7735141958833343e+170): 0 * [misc]none: (5.348181441205713e-277 -5.024170449312866e+115): 3 * [misc]none: (-1.611431508373217e+195 2.6631876145177815e-299): 0 * [misc]none: (-1.3496423811442664e+228 -6.4194246582119476e+212): 0 * [misc]none: (-2.1294463337627754e-19 3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183 -6.156933300042242e+249): 0 * [misc]none: (-2.249022094261578e+256 -4.347828572616086e-184): 0 * [misc]none: (1.0395093493101161e-28 -6.035695609668586e-193): 0 * [misc]none: (8.949756960721031e-195 2.722605535602291e+155): 5 * [misc]none: (-4.714069429956778e+287 2.9453252035345084e+174): 0 * [misc]none: (-5.843713571039491e+54 1.0160216232612932e-143): 4 * [misc]none: (-2.425692316345541e+35 -2.0645141541195737e-123): 0 * [misc]none: (4.178563936936926e-127 2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180 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1.504878381563487e-123): 3 * [misc]none: (-3.141023895275641e+245 -3.001476290410935e-269): 0 * [misc]none: (8.06210226572923e-308 1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100 -4.31661667731193e-265): 3 * [misc]none: (2.0724540688985427e-14 7.930730410937821e+23): 2 * [misc]none: (1.2219765589404705e+117 -2.933277138800709e+90): 0 * [misc]none: (4.8815870270916733e+188 -1.5358179930137542e+240): 0 * [misc]none: (-4.258931337566508e+98 -1.144012682699149e-39): 3 * [misc]none: (6.537529222720653e-92 -1.945641295132362e+247): 0 * [misc]none: (-2.0251187412162225e-215 3.5709688782890513e-43): 3 * [misc]none: (4.870593988390179e-194 5.0297272719312193e+287): 0 * [misc]none: (-4.2293501993920744e-96 -2.936155159322882e+301): 0 * [misc]none: (-7.874126038339784e+73 -2.0493644688447925e+84): 0 * [misc]none: (0.3310558223342685 -7.980090992758681e-50): 0 * [misc]none: (-1.0048785011627561e-129 8.127248813391785e+226): 0 * [misc]none: (-1.483643755550628e-284 -2.8769042098391767e+238): 0 * [misc]none: (3.506434173585025e+201 1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136 8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266 9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06 -3.752236763580095e-230): 0 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (3.9135950474809954e+67 -2.028037433935809e-224): 0 * [misc]none: (-3.943510659225903e+212 8.87668088957479e+21): 0 * [misc]none: (4.513009124607983e-82 -1.952161770664997e+168): 0 * [misc]none: (-3.2026896500136593e+106 3.9964248706286793e+300): 0 * [misc]none: (4.3776582898304966e+81 1.5274484190953342e-17): 5 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 0 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 0 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: All alt indices * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))): 0 * [misc]none: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))): 1 * [misc]none: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))): 2 * [misc]none: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))): 3 * [misc]none: (λ (a b) (cbrt (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (* (- b a) (+ b a)) (pow (/ PI 2) 3)))))): 4 * [misc]none: (λ (a b) (* (* (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a))) (/ PI 2))): 5 * [misc]none: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))): 6 * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))): 7 * [misc]none: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))): 8 * [misc]none: Best alt per point * [misc]none: (1.2654352929763856e+201 3.676700438802301e-44): 0 * [misc]none: (-4.5884699527721836e-114 5.519538337069105e+160): 0 * [misc]none: (-3.884002241527716e-09 3.402956999639796e+258): 0 * [misc]none: (1.529772447679324e+286 -3.3684544179202395e+273): 0 * [misc]none: (-7.470113998819676e+275 -1.8796565426908664e+204): 0 * [misc]none: (-1.099557535291122e-30 -2.3724946872194442e+266): 0 * [misc]none: (-9.99618015977074e-100 -5.970362695291997e+22): 0 * [misc]none: (-3.879179322621676e+202 3.321782785676469e-255): 0 * [misc]none: (-1.2383129644834284e+160 -1.062164837135673e+42): 0 * [misc]none: (2.2752166795075178e+129 3.459069485774471e+125): 0 * [misc]none: (6.125263020847728e+200 1.0472163764779166e+211): 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(2.0947420887546095e+247 -3.0889064673505896e+234): 0 * [misc]none: (-8.244426084214624e-140 2.1503851256841087e+121): 0 * [misc]none: (2.5076686139270383e-164 -0.0022300046209729825): 3 * [misc]none: (1.194061872367895e+220 1.0389358047373285e-37): 0 * [misc]none: (-2.983618099380393e-19 6.08182357871597e-19): 0 * [misc]none: (3.919727770092923e-28 -8.796417170933511e-157): 0 * [misc]none: (2.5194286288656994e+137 -2.803376858595825e-183): 0 * [misc]none: (1.2240297986851114e+251 3.45808714185781e+34): 0 * [misc]none: (7.826697678487528e+235 -1.210994144233347e-198): 0 * [misc]none: (-2.0317891841612197e-99 -6.22947928384665e-25): 2 * [misc]none: (3.1150480705854042e+199 -1.1101608934114058e+37): 0 * [misc]none: (1.882634228916084e+104 6.309071689177259e-279): 3 * [misc]none: (1.6670391926080915e+97 1.5332802818158087e+215): 0 * [misc]none: (-1.0118756898573112e+168 -2.1001979573866983e-194): 0 * [misc]none: (-4.555748018209325e-271 1.7527084173765072e+214): 6 * [misc]none: 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(-7.146083996729688e+199 8.361834195928021e-55): 0 * [misc]none: (1.782256728493473e+35 6.657191501816709e+167): 0 * [misc]none: (-1.0237963707243293e+257 -2.376464365888854e-78): 0 * [misc]none: (-3.222114505301457e-163 -7.76766480776823e+37): 0 * [misc]none: (8.382633428275648e-297 -6.191205901832185e+168): 0 * [misc]none: (2.0703305241322436e+71 6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104 8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101 -2.318802051809187e-21): 0 * [misc]none: (-2.362056093523898e-236 4.384610242475067e+141): 7 * [misc]none: (1.4474621781713568e+65 -1.410046620426318e-213): 0 * [misc]none: (-4.423020421030483e+291 -3.178469867925502e-246): 0 * [misc]none: (-7.447731371021966e+71 5.154503491655989e+241): 0 * [misc]none: (-1.6398756117817188e+244 -5.198066934157678e+220): 0 * [misc]none: (5.0588074473585105e-110 3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307 66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234 4.416557773834991e-25): 0 * [misc]none: (-7.605311329977112e+177 3.0442880854679596e-31): 0 * [misc]none: (-1.3989503218776358e-06 4.664141571059094e-118): 6 * [misc]none: (-1.8512083623442292e+194 -1.3284106669669889e+173): 0 * [misc]none: (1.0684729481870001e-64 6.3073426358942834e+75): 6 * [misc]none: (-2.217199084242749e+17 3.1520683467019444e-71): 3 * [misc]none: (0.19659739803111875 7.786539791485611e+181): 0 * [misc]none: (2.4995037253728046e-268 -26830062846468156.0): 2 * [misc]none: (4.637177905335891e-10 -12679727921.874447): 3 * [misc]none: (3.209451012414084e+270 3.7907433031673317e-256): 5 * [misc]none: (8.76720870691781e-247 6.160331831501279e+241): 1 * [misc]none: (-4.568727829143705e-23 -1.757665168464323e+292): 0 * [misc]none: (-7.388307231162813e-47 3.4124175886179475e+199): 0 * [misc]none: (3.0044088767799776e-30 4.7140908881238785e+103): 1 * [misc]none: (2.3604863517900675e+30 6.476730028728146e-228): 3 * [misc]none: (-1.2222609474395545e-52 3.369115258471057e+173): 1 * [misc]none: (1.3383461391823352e+303 -2.6712990814490822e+247): 0 * [misc]none: (2.3157792094796435e+174 -9.842315617180003e+283): 0 * [misc]none: (-8.795626148255621e+120 -5.857596831984434e-95): 3 * [misc]none: (4.097601147132013e-78 4.194634882433556e+107): 0 * [misc]none: (-1.1526493241483084e+241 3.3390334975960143e-07): 0 * [misc]none: (-1.8082167822566404e+183 2.2475155879831534e-92): 0 * [misc]none: (-4.169290160322216e+246 1.030614327019319e-115): 0 * [misc]none: (-3.2696794723802255e-27 1.8172920677413648e+103): 0 * [misc]none: (-5.3218781381905035e-129 -2.362048596457182e+298): 0 * [misc]none: (-6.16723792553022e+40 -2.40789942954366e+44): 3 * [misc]none: (1.186346974675696e+155 -1.2827160692503531e+104): 0 * [misc]none: (6.283729883572828e+84 3.6636765762957594e-187): 4 * [misc]none: (1.7036347403091437e+117 9.645064592867311e+67): 7 * [misc]none: (-5.1224941914889595e+118 1.3872947227834175e-251): 0 * [misc]none: (7.12145855246931e-10 -4.3661371414490136e+281): 0 * [misc]none: (-1.4301261995935981e+54 2.693461062117409e-112): 0 * [misc]none: (1.6465279540530418e+78 2.43524332605807e-278): 3 * [misc]none: (1.0576788912710565e-08 -17241.138101224224): 3 * [misc]none: (4.764080499693186e-90 -7.290271346747531e-14): 0 * [misc]none: (1.3557350350348342e+244 -1.3554385625614067e+48): 0 * [misc]none: (-1.8946459759589086e-22 1.89639974853721e+92): 6 * [misc]none: (8.2625435987749e+74 5.2790261762422465e+19): 0 * [misc]none: (2.0179287053921742e+58 2.884705125857619e-274): 3 * [misc]none: (2.031068672850261e-255 2.4294527094706238e+82): 1 * [misc]none: (7.274711555473555e+146 1.5565784464325313e+71): 0 * [misc]none: (1.2222184804619167e+37 -5.55277905008488e-191): 3 * [misc]none: (-2.1360290498375943e+32 4.642568065399805e-260): 0 * [misc]none: (-4.493058001076021e-21 -2.6740094065663153e+105): 6 * [misc]none: (3.8347842435652736e+125 -9.848724265902522e+103): 0 * [misc]none: (-3.954815085266754e+305 1.4235559851356953e-239): 0 * [misc]none: (4.74667737826054e-29 -1.2486100740485319e+302): 0 * [misc]none: (-143677164285.72263 -4.897389787642899e+104): 0 * [misc]none: (1.868517529275615e+140 -2.5024214599876482e+172): 0 * [misc]none: (1.5276944825842992e+272 2.1335024129380783e-97): 0 * [misc]none: (1.0953112641111952e+229 3.2587696828142436e+75): 0 * [misc]none: (-1.5310860302360472e-220 3.7735141958833343e+170): 0 * [misc]none: (5.348181441205713e-277 -5.024170449312866e+115): 3 * [misc]none: (-1.611431508373217e+195 2.6631876145177815e-299): 0 * [misc]none: (-1.3496423811442664e+228 -6.4194246582119476e+212): 0 * [misc]none: (-2.1294463337627754e-19 3.003847336951168e+42): 0 * [misc]none: (1.6609596531041104e-183 -6.156933300042242e+249): 0 * [misc]none: (-2.249022094261578e+256 -4.347828572616086e-184): 0 * [misc]none: (1.0395093493101161e-28 -6.035695609668586e-193): 0 * [misc]none: (8.949756960721031e-195 2.722605535602291e+155): 5 * [misc]none: (-4.714069429956778e+287 2.9453252035345084e+174): 0 * [misc]none: (-5.843713571039491e+54 1.0160216232612932e-143): 4 * [misc]none: (-2.425692316345541e+35 -2.0645141541195737e-123): 0 * [misc]none: (4.178563936936926e-127 2.1657839461347663e+307): 0 * [misc]none: (6.629963208070179e-180 -7.809772272521888e+231): 0 * [misc]none: (-1.0023220030653375e-143 2.5453262068352747e+307): 0 * [misc]none: (-2.708463803258993e-217 2.5557776305939374e+86): 3 * [misc]none: (-7.843719408056975e+200 -5.36699847063349e-281): 0 * [misc]none: (4.896551008070313e-307 1.2607016124581028e+98): 0 * [misc]none: (-1.1510973857640039e-232 -1.6396360397102689e+220): 0 * [misc]none: (-4.631295923206326e+93 -3.257471673811612e-50): 0 * [misc]none: (-8.226715035278119e-287 -2.255644969852512e+52): 3 * [misc]none: (2.0134175477923286e-117 3.3910436622012204e+183): 0 * [misc]none: (2.1370924660732585e-137 -1.9002484997441084e+30): 2 * [misc]none: (5.027318832526334e+284 1.0214816826091913e+147): 0 * [misc]none: (-2.018162200747419e+293 9.44950370602155e+215): 0 * [misc]none: (1.453842915541268e+187 -2.867904353761743e+219): 0 * [misc]none: (-2.421523337020965e+257 4.172324580820008e-133): 0 * [misc]none: (1.6563474243613627e-33 -1.7776992082231396e+54): 3 * [misc]none: (-1.434814592155953e+91 1.504878381563487e-123): 3 * [misc]none: (-3.141023895275641e+245 -3.001476290410935e-269): 0 * [misc]none: (8.06210226572923e-308 1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100 -4.31661667731193e-265): 3 * [misc]none: (2.0724540688985427e-14 7.930730410937821e+23): 2 * [misc]none: (1.2219765589404705e+117 -2.933277138800709e+90): 0 * [misc]none: (4.8815870270916733e+188 -1.5358179930137542e+240): 0 * [misc]none: (-4.258931337566508e+98 -1.144012682699149e-39): 3 * [misc]none: (6.537529222720653e-92 -1.945641295132362e+247): 0 * [misc]none: (-2.0251187412162225e-215 3.5709688782890513e-43): 3 * [misc]none: (4.870593988390179e-194 5.0297272719312193e+287): 0 * [misc]none: (-4.2293501993920744e-96 -2.936155159322882e+301): 0 * [misc]none: (-7.874126038339784e+73 -2.0493644688447925e+84): 0 * [misc]none: (0.3310558223342685 -7.980090992758681e-50): 0 * [misc]none: (-1.0048785011627561e-129 8.127248813391785e+226): 0 * [misc]none: (-1.483643755550628e-284 -2.8769042098391767e+238): 0 * [misc]none: (3.506434173585025e+201 1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136 8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266 9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06 -3.752236763580095e-230): 0 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (3.9135950474809954e+67 -2.028037433935809e-224): 0 * [misc]none: (-3.943510659225903e+212 8.87668088957479e+21): 0 * [misc]none: (4.513009124607983e-82 -1.952161770664997e+168): 0 * [misc]none: (-3.2026896500136593e+106 3.9964248706286793e+300): 0 * [misc]none: (4.3776582898304966e+81 1.5274484190953342e-17): 5 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 0 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 0 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: Picked alt (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 b) (/ 1 a))) into (/ 1 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* b (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* b (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* b (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 b) (/ 1 a))) into (/ 1 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of b in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* b (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1 (* b a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (- a)) (+ (* (/ 1 a) (/ 1 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 1 a)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* (- (/ 1 (pow a 2))) (/ 1 a))) into (- (/ 1 (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ 1 a) (/ 0 (- a))) (* 0 (/ 1 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 1 a)))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* (- (/ 1 (pow a 2))) 0) (* (/ 1 (pow a 3)) (/ 1 a)))) into (/ 1 (pow a 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (/ 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]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]backup-simplify: Simplify (* 1 a) into a * [misc]taylor: Taking taylor expansion of a in a * [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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* a (/ (- (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 a) 1)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 a)) a)) into (- 1) * [misc]taylor: Taking taylor expansion of (- 1) in a * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ (- (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 a)) (/ (/ 1 a) 1)))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* (/ 1 (pow a 2)) a))) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]backup-simplify: Simplify (* -1 a) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [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 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* a (/ (/ 1 a) -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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 a)) -1)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 a) a)) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) 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 (- (+ (* -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) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* a (/ 0 -1)) (* 0 (/ (/ 1 a) -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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 a) (/ (- (/ 1 a)) -1)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 a) 0) (* (- (/ 1 (pow a 2))) a))) into (- (/ 1 a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ b a)) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 (pow a 2)) (* 1/2 PI)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (/ 1 a) (- a)) (+ (* (/ 1 a) (/ 1 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 1 a)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* (- (/ 1 (pow a 2))) (/ 1 a))) into (- (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (* (- (/ 1 (pow a 3))) (* 1/2 PI))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- a)) (+ (* (/ 1 a) (/ 0 (- a))) (* 0 (/ 1 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* (- (/ 1 (pow a 2))) (/ 1 a)))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* (- (/ 1 (pow a 2))) 0) (* (/ 1 (pow a 3)) (/ 1 a)))) into (/ 1 (pow a 4)) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow a 2)) 0) (+ (* (- (/ 1 (pow a 3))) 0) (* (/ 1 (pow a 4)) (* 1/2 PI)))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 a) into a * [misc]backup-simplify: Simplify (* a (* 1/2 PI)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* a (/ (- (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 a) 1)))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 a)) a)) into (- 1) * [misc]backup-simplify: Simplify (+ (* a 0) (* (- 1) (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ (- (/ 1 a)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 a)) (/ (/ 1 a) 1)))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* (/ 1 (pow a 2)) a))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* (- 1) 0) (* (/ 1 a) (* 1/2 PI)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) (/ PI 2)) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* -1 a) into (* -1 a) * [misc]backup-simplify: Simplify (* (* -1 a) (* 1/2 PI)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [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 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* a (/ (/ 1 a) -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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 a)) -1)))) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 a) a)) into 1 * [misc]backup-simplify: Simplify (+ (* (* -1 a) 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) 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 (- (+ (* -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) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* a (/ 0 -1)) (* 0 (/ (/ 1 a) -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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 a) (/ (- (/ 1 a)) -1)))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 a) 0) (* (- (/ 1 (pow a 2))) a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* (* -1 a) 0) (+ (* 1 0) (* (- (/ 1 a)) (* 1/2 PI)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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) into -1 * [misc]backup-simplify: Simplify -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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 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) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 2 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 3 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) * * * * [misc]progress: [ 5 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 6 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 7 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * * * * [misc]progress: [ 8 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 9 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * * * * [misc]progress: [ 10 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 11 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 12 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 a) (- b a)) * [enter]simplify: Simplifying (/ (/ 1 b) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 b) (- b a)) * * * * [misc]progress: [ 13 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * * * [misc]progress: [ 14 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * * * [misc]progress: [ 15 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [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 (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * * * * [misc]progress: [ 16 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * * * [misc]progress: [ 17 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * * * [misc]progress: [ 18 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [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 (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * * * [misc]progress: [ 19 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 20 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 21 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 22 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) * * * * [misc]progress: [ 23 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * * * * [misc]progress: [ 24 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * * * [misc]progress: [ 25 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 26 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 27 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 28 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 29 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 30 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 31 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 32 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 33 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 34 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 35 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 36 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 37 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 39 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 40 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 41 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 42 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 43 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 44 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 45 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 46 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 47 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 48 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 49 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 50 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 51 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) (- a) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) (- a) (pow b 3))) * * * * [misc]progress: [ 52 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * * * * [misc]progress: [ 53 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- b a) (* a b)) * [exit]simplify: Simplified to (* (- b a) (* a b)) * * * * [misc]progress: [ 54 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (fma (+ (/ 1 a) (/ 1 b)) (/ (- b a) b) (/ (- b a) (* a a))) * [exit]simplify: Simplified to (fma (+ (/ 1 a) (/ 1 b)) (/ (- b a) b) (/ (- b a) (* a a))) * * * * [misc]progress: [ 55 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (+ (/ (- b a) b) (/ (- b a) a)) * [exit]simplify: Simplified to (+ (/ (- b a) b) (/ (- b a) a)) * * * * [misc]progress: [ 56 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 57 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 58 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 59 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ b a))) (- (log (- (/ 1 a) (/ 1 b))) (log (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ a b)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ a b)) (log (- b a)))) * * * * [misc]progress: [ 61 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (- b a)) (log (+ a b)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (- b a)) (log (+ a b)))) * * * * [misc]progress: [ 62 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ b a))) (- (log (- (/ 1 a) (/ 1 b))) (log (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 63 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (- b a)) (log (+ b a)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (- b a)) (log (+ b a)))) * * * * [misc]progress: [ 64 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 65 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 66 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a))) (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 67 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a))) (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (/ 1 (+ b a)) (* (+ b a) (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (/ 1 (+ b a)) (* (+ b a) (+ b a)))) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 68 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (cbrt (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [enter]simplify: Simplifying (cbrt (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 69 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) 3) * * * * [misc]progress: [ 70 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [enter]simplify: Simplifying (sqrt (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 71 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (* (+ b a) (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 72 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))))) * * * * [misc]progress: [ 74 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * * * * [misc]progress: [ 75 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (cbrt (- b a)))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (cbrt (- b a)))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 76 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 77 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 78 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 79 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 80 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (sqrt (- (/ 1 a) (/ 1 b))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * * * [misc]progress: [ 81 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 82 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 83 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 84 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (+ b a) (cbrt (- b a)))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (+ b a) (cbrt (- b a)))) (cbrt (- b a))) * * * * [misc]progress: [ 85 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 86 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (+ b a)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (+ b a)) * * * * [misc]progress: [ 87 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 88 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 89 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 90 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 91 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 92 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 93 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 94 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 95 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 96 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 97 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 98 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 99 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 100 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 101 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (fma (* a a) (- a) (pow b 3))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (fma (* a a) (- a) (pow b 3))) * * * * [misc]progress: [ 102 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (+ b a))) (- b a)) * * * * [misc]progress: [ 103 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 104 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ b a))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 105 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 106 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 107 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* b b) (- (* a a) (* b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (* (fma (- b a) b (* a a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (* (fma (- b a) b (* a a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 108 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 109 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (+ b a)) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 110 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 111 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (expm1 (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * [exit]simplify: Simplified to (expm1 (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * * * * [misc]progress: [ 113 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (log1p (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * [exit]simplify: Simplified to (log1p (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * * * * [misc]progress: [ 114 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * * * [misc]progress: [ 115 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * * * [misc]progress: [ 116 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ b a))) (- (log (- (/ 1 a) (/ 1 b))) (log (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (log (- b a)) (- (log (/ PI 2)) (log (+ a b))))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (- (log (- b a)) (- (log (/ PI 2)) (log (+ a b))))) * * * * [misc]progress: [ 118 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (- (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) (- (log (+ a b)) (log (/ PI 2)))) * [exit]simplify: Simplified to (- (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) (- (log (+ a b)) (log (/ PI 2)))) * * * * [misc]progress: [ 119 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ 1 (+ b a))) (- (log (- (/ 1 a) (/ 1 b))) (log (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (- (+ (log (- (/ 1 a) (/ 1 b))) (log (/ PI 2))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (+ (log (- (/ 1 a) (/ 1 b))) (log (/ PI 2))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 120 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ 1 (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (+ (- (log (/ PI 2)) (log (+ b a))) (log (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 121 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (log (/ PI 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 122 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (log (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (log (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 123 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (297 enodes) * [exit]simplify: Simplified to (pow (sqrt (exp PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (pow (sqrt (exp PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 124 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a))) (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (- b a)) (- b a)))) (* (* (/ PI 2) (/ PI 2)) (/ PI 2))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (pow (/ PI 2) 3)) (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3)) * [exit]simplify: Simplified to (* (* (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (pow (/ PI 2) 3)) (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3)) * * * * [misc]progress: [ 125 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ b a)) (/ 1 (+ b a))) (/ 1 (+ b a))) (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (* (* (/ PI 2) (/ PI 2)) (/ PI 2))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (* (* (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (pow (/ PI 2) 3)) (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3)) * [exit]simplify: Simplified to (* (* (/ (/ 1 (+ b a)) (* (+ b a) (+ b a))) (pow (/ PI 2) 3)) (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3)) * * * * [misc]progress: [ 126 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (* (* (/ PI 2) (/ PI 2)) (/ PI 2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (* (pow (/ PI 2) 3) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (* (* (pow (/ PI 2) 3) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) (* (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))))) * * * * [misc]progress: [ 127 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) (cbrt (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) (cbrt (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) (cbrt (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))))) * [enter]simplify: Simplifying (cbrt (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * [exit]simplify: Simplified to (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * * * * [misc]progress: [ 128 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (pow (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) 3) * [exit]simplify: Simplified to (pow (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a)))) 3) * * * * [misc]progress: [ 129 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * [enter]simplify: Simplifying (sqrt (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) (/ PI 2))) * * * * [misc]progress: [ 130 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (- (/ 1 a) (/ 1 b))) PI) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [enter]simplify: Simplifying (* (* (+ b a) (- b a)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (403 enodes) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ a b) 2) (- b a)) * * * * [misc]progress: [ 131 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (- (/ 1 a) (/ 1 b))) PI) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * [enter]simplify: Simplifying (* (- b a) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (- b a) 2) * [exit]simplify: Simplified to (* (- b a) 2) * * * * [misc]progress: [ 132 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) PI) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (* (+ b a) 2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (* (+ a b) 2) * [exit]simplify: Simplified to (* (+ a b) 2) * * * * [misc]progress: [ 133 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (cbrt (/ PI 2)) (cbrt (/ PI 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (* (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 135 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (/ PI 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (sqrt (/ PI 2)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (- b a) (sqrt (/ PI 2)))) * * * * [misc]progress: [ 136 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 137 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) PI) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 138 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 139 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) PI) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * * * * [misc]progress: [ 140 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (- (/ 1 a) (/ 1 b))) (/ PI 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * * [misc]simplify: iters left: 1 (407 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ (/ PI 2) b)) * [exit]simplify: Simplified to (- (/ (/ PI 2) a) (/ (/ PI 2) b)) * * * * [misc]progress: [ 141 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (- (/ 1 a) (/ 1 b))) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (/ 2 PI))) * * * * [misc]progress: [ 142 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (- b a)) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 143 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 145 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 146 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 147 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 148 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 149 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 150 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 151 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 152 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 153 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 154 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 155 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 156 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 157 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 158 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 159 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 160 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 161 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 162 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 163 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 164 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 165 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 166 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 167 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 169 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 170 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 171 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * * * * [misc]progress: [ 172 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 173 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 174 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (fma (/ 1 a) (+ (/ 1 b) (/ 1 a)) (/ (/ 1 b) b)) * [exit]simplify: Simplified to (fma (/ 1 a) (+ (/ 1 b) (/ 1 a)) (/ (/ 1 b) b)) * * * * [misc]progress: [ 175 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 176 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 177 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * * * * [misc]progress: [ 178 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * * * [misc]progress: [ 179 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 180 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 181 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 182 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 183 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 184 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ 1 (* b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (* a b))) * * * * [misc]progress: [ 185 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ 1 (* b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (* a b))) * * * * [misc]progress: [ 186 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ 1 (* b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (* a b))) * * * * [misc]progress: [ 187 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 188 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 189 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 190 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 191 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 192 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 193 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * * * [misc]progress: [ 194 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * * * [misc]progress: [ 195 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 10 * [misc]none: All alts: 11 * [misc]none: Non-fresh alt: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)) * [misc]none: Fresh alt: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ 1 (+ b a)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [misc]none: Fresh alt: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))) * [misc]none: Fresh alt: (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))) * [misc]none: Fresh alt indices * [misc]none: (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)): 0 * [misc]none: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))): 1 * [misc]none: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))): 2 * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) (/ PI 2))): 3 * [misc]none: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))): 4 * [misc]none: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))): 5 * [misc]none: (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))): 6 * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))): 7 * [misc]none: (λ (a b) (* (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (/ PI 2))): 8 * [misc]none: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))): 9 * [misc]none: Best fresh alt per point * [misc]none: (1.2654352929763856e+201 3.676700438802301e-44): 0 * [misc]none: (-4.5884699527721836e-114 5.519538337069105e+160): 0 * [misc]none: (-3.884002241527716e-09 3.402956999639796e+258): 0 * [misc]none: (1.529772447679324e+286 -3.3684544179202395e+273): 0 * [misc]none: (-7.470113998819676e+275 -1.8796565426908664e+204): 0 * [misc]none: (-1.099557535291122e-30 -2.3724946872194442e+266): 0 * [misc]none: (-9.99618015977074e-100 -5.970362695291997e+22): 5 * [misc]none: (-3.879179322621676e+202 3.321782785676469e-255): 0 * [misc]none: (-1.2383129644834284e+160 -1.062164837135673e+42): 0 * [misc]none: (2.2752166795075178e+129 3.459069485774471e+125): 0 * [misc]none: (6.125263020847728e+200 1.0472163764779166e+211): 0 * [misc]none: (-5.593167094268887e-190 1.7800753731525426e+39): 0 * [misc]none: (-1.9563965618862005e+178 6.863804525144902e-237): 0 * [misc]none: (-1.497130859851894e+57 3.826166416762639e+216): 0 * [misc]none: (1.1663715170234023e-33 1.821316082219445e-31): 1 * [misc]none: (-1.441560479175162e+51 -4.8973687170160837e+185): 0 * [misc]none: (5.965572216773997e-266 -1.7112087034006054e+282): 0 * [misc]none: (-8.627178870504794e+293 1.1867578517998852e-122): 0 * [misc]none: (-1.1961490139198145e+35 4.388887965185748e-231): 2 * [misc]none: (-3.990775770507464e-143 12041477.739790332): 0 * [misc]none: (-1.3991744780612765e+87 -1.8538245512787994e+136): 0 * [misc]none: (4.053980966469101e+302 2.8402608015100704e-250): 0 * [misc]none: (-1348564663705.779 -4.759757548074155e+194): 0 * [misc]none: (4.52129342202891e+175 -1.6048248782469113e+61): 0 * [misc]none: (-3.969668283468194e-23 5.258242405229196e-247): 4 * [misc]none: (-9.498386678851063e-197 -1.0709835258895982e+166): 6 * [misc]none: (2.0947420887546095e+247 -3.0889064673505896e+234): 0 * [misc]none: (-8.244426084214624e-140 2.1503851256841087e+121): 0 * [misc]none: (2.5076686139270383e-164 -0.0022300046209729825): 0 * [misc]none: (1.194061872367895e+220 1.0389358047373285e-37): 0 * [misc]none: (-2.983618099380393e-19 6.08182357871597e-19): 0 * [misc]none: (3.919727770092923e-28 -8.796417170933511e-157): 1 * [misc]none: (2.5194286288656994e+137 -2.803376858595825e-183): 0 * [misc]none: (1.2240297986851114e+251 3.45808714185781e+34): 0 * [misc]none: (7.826697678487528e+235 -1.210994144233347e-198): 5 * [misc]none: (-2.0317891841612197e-99 -6.22947928384665e-25): 0 * [misc]none: (3.1150480705854042e+199 -1.1101608934114058e+37): 0 * [misc]none: (1.882634228916084e+104 6.309071689177259e-279): 0 * [misc]none: (1.6670391926080915e+97 1.5332802818158087e+215): 0 * [misc]none: (-1.0118756898573112e+168 -2.1001979573866983e-194): 0 * [misc]none: (-4.555748018209325e-271 1.7527084173765072e+214): 5 * [misc]none: (-3.566410115265179e+77 -2.0754253193237223e+276): 0 * [misc]none: (1.4185317245467992e+152 -1.3311644893547746e+182): 0 * [misc]none: (-3.678907798082827e-113 6.040835984474006e+24): 3 * [misc]none: (-3.1450504266029292e+299 -6.998469069018224e-161): 0 * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 4 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 0 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 0 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 1 * [misc]none: (6.224141164637054e+75 -1.2086624476009651e-200): 0 * [misc]none: (2.3623052767393814e+153 4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222 -4.6390246315423324e+36): 0 * [misc]none: (1.2790861077923577e+68 1.0592112097552954e+143): 0 * [misc]none: (-7.191398511280425e-59 -2.3255237224962407e-56): 0 * [misc]none: (1.6780592368033288e-262 1.5331200777386884e+269): 0 * [misc]none: (4.5525663232975395e+86 4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176 5.752669291865014e-257): 5 * [misc]none: (-2.06284826271339e+143 -7.24722487096989e+250): 0 * [misc]none: (-2.2793842908096357e+72 -8.124520965103743e+145): 0 * [misc]none: (3.727663855470157e+254 8.775974517752829e+204): 0 * [misc]none: (-644684.1881687096 -5.072621494700167e+267): 0 * [misc]none: (-4.473451124127099e-235 1.5758037123807388e+87): 3 * [misc]none: (-3.1154131766396667e+29 2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198 -1.2951522948212234e+105): 0 * [misc]none: (2.2545095115116114e+189 -1.4107789582096962e+111): 0 * [misc]none: (-3.9546390943242443e-82 1.457018723838865e-35): 0 * [misc]none: (-3.30379604621756e-180 -8.185062082112633e+221): 1 * [misc]none: (-9.870003932393336e-46 -2.2727962542731896e+253): 0 * [misc]none: (6.967234360883543e-112 2.0770495361468835e+203): 3 * [misc]none: (-3.5348879909542174e+259 3.1401318723071353e-131): 0 * [misc]none: (-1.4852188300484065e-239 -3.374264737975756e+72): 1 * [misc]none: (-1.0890756353988414e+102 0.228970627026966): 3 * [misc]none: (8.40469635347052e+100 2.1321881547753267e-44): 0 * [misc]none: (6.866799226360426e-109 6.417434319517234e+231): 0 * [misc]none: (-2.5125878605191734e-29 4.508352673437809e+248): 0 * [misc]none: (-1.4801509312754967e-61 -5.163900824605852e+32): 7 * [misc]none: (1.430295312965348e-149 3.112001531242655e+80): 4 * [misc]none: (-2.6904647286120434e+306 -2.4014893155423993e+35): 0 * [misc]none: (-1.9863653303691194e-296 -1.5110806788081036e+47): 9 * [misc]none: (4.232269734875141e-205 4.1020469956028986e+24): 2 * [misc]none: (2.1703230086091624e+277 -4.725142043601307e-47): 0 * [misc]none: (2.68866513359689e-174 8.96636707501737e-13): 2 * [misc]none: (-2.3580830331388543e-23 1.6082525618587168e-259): 3 * [misc]none: (-3.386296042382532e-190 2.991170371343952e+151): 0 * [misc]none: (-7.407998779781806e-33 -7.014935371531484e-98): 4 * [misc]none: (-2.580522918977788e+184 8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59 6.754325943853309e-283): 0 * [misc]none: (-1.0323836290065946e-292 -1.1379474227414984e+157): 8 * [misc]none: (5.3887495676776976e+171 -503507.16469484643): 0 * [misc]none: (-1.9250288775511552e-19 9.871143682146977e-239): 4 * [misc]none: (-1.9809585244792104e-221 -5.324127388080003e+141): 6 * [misc]none: (5.123849747663666e+133 4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251 -7.33347091133757e-103): 0 * [misc]none: (-3.967500572333352e+95 -8.002576117532625e+293): 0 * [misc]none: (-344.7442723289036 8.452539306620761e+219): 0 * [misc]none: (-3.8897511496224356e+161 4.4485313287564445e+252): 0 * [misc]none: (7.175557259725409e-49 4.4800031186106794e-70): 1 * [misc]none: (-1.3609788364339258e+82 2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53 -4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279 2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158 -2.8955398952451435e+131): 0 * [misc]none: (1.5780761566396397e+125 1.534059348183312e-189): 5 * [misc]none: (2.8419420301747055e+90 -2.318158899615234e+28): 0 * [misc]none: (8.976998414840432e+184 3.9122094377392414e+59): 0 * [misc]none: 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-5.374019621331118e+178): 0 * [misc]none: All alt indices * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))): 0 * [misc]none: (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)): 1 * [misc]none: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))): 2 * [misc]none: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))): 3 * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) (/ PI 2))): 4 * [misc]none: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))): 5 * [misc]none: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))): 6 * [misc]none: (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))): 7 * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 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(4.3776582898304966e+81 1.5274484190953342e-17): 1 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 0 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 0 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: Picked alt (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ (+ b a) PI) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ a PI)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (/ b PI)) (+ (* (/ PI b) (/ (/ 1 PI) (/ b PI))))) into (- (* 2 (/ PI (pow b 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ b PI)) (+ (* (/ PI b) (/ 0 (/ b PI))) (* (- (* 2 (/ PI (pow b 2)))) (/ (/ 1 PI) (/ b PI))))) into (* 2 (/ PI (pow b 3))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ b PI)) (+ (* (/ PI b) (/ 0 (/ b PI))) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 (/ b PI))) (* (* 2 (/ PI (pow b 3))) (/ (/ 1 PI) (/ b PI))))) into (- (* 2 (/ PI (pow b 4)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (/ 1 PI)) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) (/ 1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) (/ 1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 PI)) (+ (* (* -1 (* b PI)) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (* 2 PI) * [misc]taylor: Taking taylor expansion of (* 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 PI)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 PI))) (* (* 2 PI) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (- (* 2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) 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 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 PI)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 PI))) (* (* 2 PI) (/ 0 (/ 1 PI))) (* (- (* 2 (/ PI b))) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (* 2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ (- a) (/ -1 PI)) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (/ -1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (/ -1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) * [misc]backup-simplify: Simplify (- PI) into (- PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 PI)) (+ (* (* -1 (* b PI)) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (* 2 PI) * [misc]taylor: Taking taylor expansion of (* 2 PI) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 PI) (* 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 PI)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 PI))) (* (* 2 PI) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (- (* 2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 PI)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 PI))) (* (* 2 PI) (/ 0 (/ -1 PI))) (* (- (* 2 (/ PI b))) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (* 2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* b a))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (+ b a) PI) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]taylor: Taking taylor expansion of (/ a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ a PI) (/ 0 PI)))) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ a PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ a PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* a 1)) (* (/ 1 PI) (* 1 b))) into (+ (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* 1 (/ 1 (/ 1 b)))) (* (/ 1 PI) (* (/ 1 (/ 1 a)) 1))) into (+ (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 a)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* PI a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* PI a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* PI a))) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* PI a))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* PI a))) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (* 1 (/ 1 (/ 1 (- b))))) (* (- (/ 1 PI)) (* (/ 1 (/ 1 (- a))) 1))) into (+ (/ b PI) (/ a PI)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ (+ b a) PI) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (/ a PI)) into (* -1 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in b * [misc]taylor: Taking taylor expansion of (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 2) into (* -2 a) * [misc]backup-simplify: Simplify (/ (* -1 (/ PI a)) (* -2 a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in a * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* (- b a) 2) in a * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b 2) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) (/ b PI)) (+ (* (/ PI b) (/ (/ 1 PI) (/ b PI))))) into (- (* 2 (/ PI (pow b 2)))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* -1 2)) into (- 2) * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ PI (pow b 2)))) (* 2 b)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 2) (* 2 b))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) 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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ b PI)) (+ (* (/ PI b) (/ 0 (/ b PI))) (* (- (* 2 (/ PI (pow b 2)))) (/ (/ 1 PI) (/ b PI))))) into (* 2 (/ PI (pow b 3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 2 (/ PI (pow b 3))) (* 2 b)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (* 2 b))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ (- 2) (* 2 b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) (* (- (/ 1 b) (/ 1 a)) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) (* (- (/ 1 b) (/ 1 a)) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a (/ 1 PI)) into (* PI a) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* PI a) 2) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) (* (- (/ 1 b) (/ 1 a)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) (/ 1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) -2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) (* (- (/ 1 b) (/ 1 a)) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (/ (+ (/ 1 b) (/ 1 a)) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (/ (- b) (/ 1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) -2) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (- (/ 1 (/ 1 PI)) (+ (* (* -1 (* b PI)) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (* 2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) 2)) into (* 2 (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (* 2 PI) -2) (+ (* (* 1/2 (* b PI)) (/ (* 2 (/ 1 b)) -2)))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 PI)) (+ (* (* -1 (* b PI)) (/ 0 (/ 1 PI))) (* (* 2 PI) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (- (* 2 (/ PI b))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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 (+ (* -1 0) (+ (* (/ 1 b) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ PI b))) -2) (+ (* (* 1/2 (* b PI)) (/ 0 -2)) (* (- (* 1/2 PI)) (/ (* 2 (/ 1 b)) -2)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (/ (- a) (/ -1 PI)) into (* PI a) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ (* PI a) -2) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (/ -1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- b)) (/ 1 (- a))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b (/ -1 PI)) into (* -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) 2) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* b PI)) 2) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]backup-simplify: Simplify (- (/ -1 (/ -1 PI)) (+ (* (* -1 (* b PI)) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (* 2 PI) * [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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) 2)) into (- (* 2 (/ 1 b))) * [misc]backup-simplify: Simplify (- (/ (* 2 PI) 2) (+ (* (* -1/2 (* b PI)) (/ (- (* 2 (/ 1 b))) 2)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 PI)) (+ (* (* -1 (* b PI)) (/ 0 (/ -1 PI))) (* (* 2 PI) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (- (* 2 (/ PI b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ PI b))) 2) (+ (* (* -1/2 (* b PI)) (/ 0 2)) (* (* 1/2 PI) (/ (- (* 2 (/ 1 b))) 2)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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) into -1 * [misc]backup-simplify: Simplify -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 (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 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) into 0 * [misc]backup-simplify: Simplify 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 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]backup-simplify: Simplify (- (* -1 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]taylor: Taking taylor expansion of b in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 2 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 3 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (/ (+ b a) PI))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (/ (+ b a) PI))) * * * * [misc]progress: [ 5 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (log (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 6 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (exp (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 7 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (+ b a) PI) (/ (+ b a) PI)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (pow (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) 3) * [exit]simplify: Simplified to (pow (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) 3) * * * * [misc]progress: [ 8 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 9 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 3) * * * * [misc]progress: [ 10 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) * * * * [misc]progress: [ 11 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [enter]simplify: Simplifying (- (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (- (+ a b)) PI) * [exit]simplify: Simplified to (/ (- (+ a b)) PI) * * * * [misc]progress: [ 12 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ (+ b a) PI)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ PI a) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI a) (+ b a)) * [enter]simplify: Simplifying (/ (/ 1 b) (/ (+ b a) PI)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (/ PI b) (+ a b)) * [exit]simplify: Simplified to (/ (/ PI b) (+ a b)) * * * * [misc]progress: [ 13 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 14 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 15 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) * * * * [misc]progress: [ 16 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ 1 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) PI) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) PI) * * * * [misc]progress: [ 17 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 18 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 19 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) * * * * [misc]progress: [ 20 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 1 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) PI) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) PI) * * * * [misc]progress: [ 21 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 22 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 23 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 24 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 25 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (/ (+ a b) PI))) (cbrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (/ (+ a b) PI))) (cbrt (/ (+ a b) PI))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ a b) PI))) * * * * [misc]progress: [ 26 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (/ (+ a b) PI))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ a b) PI))) * * * * [misc]progress: [ 27 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ a b) PI)) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ a b) PI)) * * * * [misc]progress: [ 28 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (+ a b)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (+ a b)) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ 1 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) PI) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) PI) * * * * [misc]progress: [ 29 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 30 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 31 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 32 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 33 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 34 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 35 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 36 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 37 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 38 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 39 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 40 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 41 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 42 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 43 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) (+ b a)) * * * * [misc]progress: [ 44 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * [exit]simplify: Simplified to (- (/ PI a) (/ PI b)) * * * * [misc]progress: [ 45 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 47 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 48 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 49 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 50 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 51 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 52 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) PI) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (+ a b) PI) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 53 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) PI) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (+ a b) PI) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 54 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 55 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (+ a b) PI) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (+ a b) PI) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 56 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 57 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 58 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 59 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ b a) PI) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 60 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (+ b a)) * * * * [misc]progress: [ 61 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ b a) PI) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ b (/ (/ PI a) (+ a b))) * [exit]simplify: Simplified to (/ b (/ (/ PI a) (+ a b))) * * * * [misc]progress: [ 62 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ b a) PI) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (* (fma (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (/ 1 a) a)) (/ (+ a b) PI)) * [exit]simplify: Simplified to (* (fma (+ (/ 1 b) (/ 1 a)) (/ 1 b) (/ (/ 1 a) a)) (/ (+ a b) PI)) * * * * [misc]progress: [ 63 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (+ b a) PI) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (+ (/ (+ a b) (* PI a)) (/ (+ a b) (* PI b))) * [exit]simplify: Simplified to (+ (/ (+ a b) (* PI a)) (/ (+ a b) (* PI b))) * * * * [misc]progress: [ 64 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ a b) PI)) * [exit]simplify: Simplified to (expm1 (/ (+ a b) PI)) * * * * [misc]progress: [ 65 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (/ (+ a b) PI)) * [exit]simplify: Simplified to (log1p (/ (+ a b) PI)) * * * * [misc]progress: [ 66 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (log (/ (+ a b) PI)) * [exit]simplify: Simplified to (log (/ (+ a b) PI)) * * * * [misc]progress: [ 68 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ (+ a b) PI)) * [exit]simplify: Simplified to (exp (/ (+ a b) PI)) * * * * [misc]progress: [ 69 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ a b) PI)) (cbrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (* (cbrt (/ (+ a b) PI)) (cbrt (/ (+ a b) PI))) * [enter]simplify: Simplifying (cbrt (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ a b) PI)) * [exit]simplify: Simplified to (cbrt (/ (+ a b) PI)) * * * * [misc]progress: [ 70 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ b a) PI) (/ (+ b a) PI)) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (pow (/ (+ a b) PI) 3) * [exit]simplify: Simplified to (pow (/ (+ a b) PI) 3) * * * * [misc]progress: [ 71 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ a b) PI)) * [exit]simplify: Simplified to (sqrt (/ (+ a b) PI)) * [enter]simplify: Simplifying (sqrt (/ (+ b a) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ a b) PI)) * [exit]simplify: Simplified to (sqrt (/ (+ a b) PI)) * * * * [misc]progress: [ 72 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 73 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [exit]simplify: Simplified to (/ 1 PI) * * * * [misc]progress: [ 75 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 76 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (cbrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (cbrt (+ b a))) * [exit]simplify: Simplified to (/ PI (cbrt (+ b a))) * * * * [misc]progress: [ 77 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 78 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 79 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (+ (* b b) (- (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (* PI (fma a (- a b) (* b b))) * [exit]simplify: Simplified to (* PI (fma a (- a b) (* b b))) * * * * [misc]progress: [ 80 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (- b a) PI) * [exit]simplify: Simplified to (* (- b a) PI) * * * * [misc]progress: [ 81 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (expm1 (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * [exit]simplify: Simplified to (expm1 (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * * * * [misc]progress: [ 82 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (log1p (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * [exit]simplify: Simplified to (log1p (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * * * * [misc]progress: [ 83 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (/ 1 a) (/ 1 b))) (log (/ (+ b a) PI))) (log (* (- b a) 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (* 2 (- b a))) (log (/ (+ b a) PI)))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (+ (log (* 2 (- b a))) (log (/ (+ b a) PI)))) * * * * [misc]progress: [ 85 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (log (* (- b a) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) (+ b a)) (/ (/ PI b) (+ b a)))) (log (* (- b a) 2))) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) (+ b a)) (/ (/ PI b) (+ b a)))) (log (* (- b a) 2))) * * * * [misc]progress: [ 86 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (log (* (/ PI (* 2 (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * [exit]simplify: Simplified to (log (* (/ PI (* 2 (- b a))) (/ (- (/ 1 a) (/ 1 b)) (+ b a)))) * * * * [misc]progress: [ 87 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (275 enodes) * [exit]simplify: Simplified to (pow (exp (/ PI 2)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (pow (exp (/ PI 2)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 88 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (/ (+ b a) PI) (/ (+ b a) PI)) (/ (+ b a) PI))) (* (* (* (- b a) 2) (* (- b a) 2)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (/ (pow (* (- b a) 2) 3) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (* (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (/ (pow (* (- b a) 2) 3) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)))) * * * * [misc]progress: [ 89 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (* (* (* (- b a) 2) (* (- b a) 2)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (pow (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (/ PI (- b a))) 3) * [exit]simplify: Simplified to (pow (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (/ PI (- b a))) 3) * * * * [misc]progress: [ 90 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (/ (* (- b a) (+ b a)) PI))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (/ (* (- b a) (+ b a)) PI)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (/ (* (- b a) (+ b a)) PI))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (/ (* (- b a) (+ b a)) PI)))) * [enter]simplify: Simplifying (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * [exit]simplify: Simplified to (cbrt (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * * * * [misc]progress: [ 91 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (/ (- b a) (/ PI 2)) (+ b a))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (* (/ (- b a) (/ PI 2)) (+ b a))) 3) * * * * [misc]progress: [ 92 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * [exit]simplify: Simplified to (sqrt (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (* 2 (+ b a))))) * * * * [misc]progress: [ 93 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI b) (/ PI a)) (+ b a)) * [enter]simplify: Simplifying (- (* (- b a) 2)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* 2 (- a b)) * [exit]simplify: Simplified to (* 2 (- a b)) * * * * [misc]progress: [ 94 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 a) (/ (+ b a) PI)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI a) (+ b a)) (* (- b a) 2)) * [exit]simplify: Simplified to (/ (/ (/ PI a) (+ b a)) (* (- b a) 2)) * [enter]simplify: Simplifying (/ (/ (/ 1 b) (/ (+ b a) PI)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (* b (- b a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ a b)) (* b (- b a))) * * * * [misc]progress: [ 95 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (- b a))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) 2) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a))) 2) * * * * [misc]progress: [ 96 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) (- b a)) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) 2) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a))) 2) * * * * [misc]progress: [ 97 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) (/ (- b a) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) (/ (- b a) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* 2 (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* 2 (cbrt (/ (+ b a) PI)))) * * * * [misc]progress: [ 98 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* 2 (sqrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* 2 (sqrt (/ (+ b a) PI)))) * * * * [misc]progress: [ 99 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (- b a)) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (- b a)) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ b a)) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 100 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ b a))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (+ b a))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI 2)) * * * * [misc]progress: [ 101 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) (* (- b a) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) (* (- b a) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* 2 (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* 2 (cbrt (/ (+ b a) PI)))) * * * * [misc]progress: [ 102 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (sqrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (sqrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* 2 (sqrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* 2 (sqrt (/ (+ b a) PI)))) * * * * [misc]progress: [ 103 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ PI 2) (+ b a)) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 104 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (- b a) (+ b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ PI 2)) * * * * [misc]progress: [ 105 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 106 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 107 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * * * * [misc]progress: [ 108 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 109 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (/ (+ a b) PI))) (* (- b a) (cbrt (/ (+ a b) PI)))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (/ (+ a b) PI))) (* (- b a) (cbrt (/ (+ a b) PI)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) (cbrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) (cbrt (/ (+ a b) PI))) * * * * [misc]progress: [ 110 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- b a)) (sqrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- b a)) (sqrt (/ (+ a b) PI))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) (sqrt (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) 2) (sqrt (/ (+ a b) PI))) * * * * [misc]progress: [ 111 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- b a)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- b a)) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (/ 2 PI))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (/ 2 PI))) * * * * [misc]progress: [ 112 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (- b a) (+ a b))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (* (/ PI 2) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 113 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 114 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 115 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * * * * [misc]progress: [ 116 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 117 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 118 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 119 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * * * * [misc]progress: [ 120 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 121 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 122 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 123 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * * * * [misc]progress: [ 124 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 125 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (* (cbrt (/ (+ b a) PI)) (cbrt (/ (+ b a) PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (cbrt (/ (+ b a) PI))) * * * * [misc]progress: [ 126 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ b a) PI))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (/ (+ b a) PI))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) 2) (sqrt (/ (+ b a) PI))) * * * * [misc]progress: [ 127 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * * * * [misc]progress: [ 128 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI)) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * * * * [misc]progress: [ 129 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) * * * * [misc]progress: [ 130 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [enter]simplify: Simplifying (/ (/ 1 (/ (+ b a) PI)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 131 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 132 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 133 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (- b a) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) 2) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) 2) * * * * [misc]progress: [ 134 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 135 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) (+ b a)) (/ (/ PI b) (+ b a))) (- b a)) * [exit]simplify: Simplified to (/ (- (/ (/ PI a) (+ b a)) (/ (/ PI b) (+ b a))) (- b a)) * * * * [misc]progress: [ 136 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (cbrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (cbrt (/ (- (/ PI a) (/ PI b)) (+ a b)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (cbrt (/ (- (/ PI a) (/ PI b)) (+ a b)))) * * * * [misc]progress: [ 137 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (sqrt (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (sqrt (/ (- (/ PI a) (/ PI b)) (+ a b)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (sqrt (/ (- (/ PI a) (/ PI b)) (+ a b)))) * * * * [misc]progress: [ 138 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ (+ a b) PI)) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ (+ a b) PI)) 2)) * * * * [misc]progress: [ 139 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ (+ a b) PI)) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ (+ a b) PI)) 2)) * * * * [misc]progress: [ 140 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (/ (* (* (- b a) (+ a b)) (/ 2 PI)) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (- b a) (+ a b)) (/ 2 PI)) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 141 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ 1 PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) (/ PI 2)) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (- b a) (/ PI 2)) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 142 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ (+ a b) PI)) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (/ (+ a b) PI)) 2)) * * * * [misc]progress: [ 143 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * [exit]simplify: Simplified to (* (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ (+ a b) PI)) 2)) * [exit]simplify: Simplified to (* (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) (* (sqrt (/ (+ a b) PI)) 2)) * * * * [misc]progress: [ 144 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (/ (* (* (- b a) (+ a b)) (/ 2 PI)) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (- b a) (+ a b)) (/ 2 PI)) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 145 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 1 PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (/ (/ (- b a) (/ PI 2)) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (/ (- b a) (/ PI 2)) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 146 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 147 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 148 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 149 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 150 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ a b) PI)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (/ (+ a b) PI)))) * * * * [misc]progress: [ 151 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (445 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ a b) PI)))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (/ (+ a b) PI)))) * * * * [misc]progress: [ 152 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (/ (* (* (- b a) 2) (/ (+ a b) PI)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (- b a) 2) (/ (+ a b) PI)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 153 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ 1 PI))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (/ (* (/ 2 PI) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (/ 2 PI) (- b a)) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 154 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 155 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 156 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 157 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 158 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 159 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 160 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 161 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 162 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 163 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 164 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 165 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 166 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (cbrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (cbrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 167 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ (+ b a) PI)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * [exit]simplify: Simplified to (/ (sqrt (/ (+ a b) PI)) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) 2))) * * * * [misc]progress: [ 168 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 169 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ 1 PI))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * [exit]simplify: Simplified to (/ (* (- b a) 2) (- (/ PI a) (/ PI b))) * * * * [misc]progress: [ 170 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (* (/ (* (+ a b) (- b a)) (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * * * * [misc]progress: [ 171 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) (/ 1 (/ (+ b a) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (* (/ 2 PI) (* (- b a) (+ a b))) * * * * [misc]progress: [ 172 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- b a) 2) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (- b a)) * [exit]simplify: Simplified to (* (/ 2 PI) (- b a)) * * * * [misc]progress: [ 173 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- (pow b 3) (pow a 3)) 2)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (- (* (* b b) (* b 2)) (* (* a a) (* 2 a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (- (* (* b b) (* b 2)) (* (* a a) (* 2 a)))) * * * * [misc]progress: [ 174 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- (* b b) (* a a)) 2)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (* (+ b a) (/ (+ b a) (/ PI 2)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (* (+ b a) (/ (+ b a) (/ PI 2)))) * * * * [misc]progress: [ 175 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- b a) 2) (/ (+ b a) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (* (* (/ 2 PI) (- b a)) (+ a b)) * [exit]simplify: Simplified to (* (* (/ 2 PI) (- b a)) (+ a b)) * * * * [misc]progress: [ 176 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 177 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 178 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 179 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 a)) (cbrt (/ 1 a))) (cbrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 180 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 181 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 182 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 183 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 a)) (sqrt (/ 1 a)) (- (* (/ 1 b) 1))) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 184 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 185 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 186 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 187 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 188 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))) (* (cbrt (/ 1 b)) (* (cbrt (/ 1 b)) (cbrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 189 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (sqrt (/ 1 b)) (sqrt (/ 1 b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (sqrt (/ 1 b))) (sqrt (/ 1 b)) (* (sqrt (/ 1 b)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 190 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 191 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 a) (- (* (/ 1 b) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (fma (- (/ 1 b)) 1 (* (/ 1 b) 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 192 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (expm1 (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 193 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log1p (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 194 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 195 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 196 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 197 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 198 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 a)) (exp (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 199 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 200 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (log (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 201 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (exp (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 202 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (cbrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (cbrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 203 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * [exit]simplify: Simplified to (pow (- (/ 1 a) (/ 1 b)) 3) * * * * [misc]progress: [ 204 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (sqrt (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 205 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 b) (* a 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* b a) * [exit]simplify: Simplified to (* b a) * * * * [misc]progress: [ 206 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ 1 a) 3) (pow (/ 1 b) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [exit]simplify: Simplified to (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) * [enter]simplify: Simplifying (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (fma (/ 1 a) (+ (/ 1 b) (/ 1 a)) (/ (/ 1 b) b)) * [exit]simplify: Simplified to (fma (/ 1 a) (+ (/ 1 b) (/ 1 a)) (/ (/ 1 b) b)) * * * * [misc]progress: [ 207 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 208 / 227 ] simplifiying candidate # * * * * [misc]progress: [ 209 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (+ (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (+ (/ 1 b) (/ 1 a)) * * * * [misc]progress: [ 210 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * [exit]simplify: Simplified to (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) * * * * [misc]progress: [ 211 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 212 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 213 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 214 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 215 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) b) * [exit]simplify: Simplified to (/ (- 1) b) * * * * [misc]progress: [ 216 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* b a)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) 2) (* a (- b a))) * * * * [misc]progress: [ 217 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1 (/ PI (* b a))) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) b) (* (- b a) (* 2 a))) * * * * [misc]progress: [ 218 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1 (/ PI (* b a))) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) b) (* (- b a) (* 2 a))) * * * * [misc]progress: [ 219 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (+ (/ b PI) (/ a PI))) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ (/ a PI) (/ b PI))) (* (- b a) 2)) * * * * [misc]progress: [ 220 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (+ (/ b PI) (/ a PI))) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ (/ a PI) (/ b PI))) (* (- b a) 2)) * * * * [misc]progress: [ 221 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (+ (/ b PI) (/ a PI))) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ (/ a PI) (/ b PI))) (* (- b a) 2)) * * * * [misc]progress: [ 222 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 223 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 224 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 225 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (/ PI (- b a))) * * * * [misc]progress: [ 226 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (/ PI (- b a))) * * * * [misc]progress: [ 227 / 227 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (+ b a))) (/ PI (- b a))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 9 * [misc]none: All alts: 11 * [misc]none: Non-fresh alt: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)) * [misc]none: Fresh alt: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ 1 (+ b a)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))) * [misc]none: Fresh alt: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))) * [misc]none: Non-fresh alt: (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (/ PI 2))) * [misc]none: Fresh alt: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))) * [misc]none: Fresh alt indices * [misc]none: (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)): 0 * [misc]none: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))): 1 * [misc]none: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))): 2 * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) (/ PI 2))): 3 * [misc]none: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))): 4 * [misc]none: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))): 5 * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))): 6 * [misc]none: (λ (a b) (* (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (/ PI 2))): 7 * [misc]none: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))): 8 * [misc]none: Best fresh alt per point * [misc]none: (1.2654352929763856e+201 3.676700438802301e-44): 0 * [misc]none: (-4.5884699527721836e-114 5.519538337069105e+160): 0 * [misc]none: (-3.884002241527716e-09 3.402956999639796e+258): 0 * [misc]none: (1.529772447679324e+286 -3.3684544179202395e+273): 0 * [misc]none: (-7.470113998819676e+275 -1.8796565426908664e+204): 0 * [misc]none: (-1.099557535291122e-30 -2.3724946872194442e+266): 0 * [misc]none: (-9.99618015977074e-100 -5.970362695291997e+22): 5 * [misc]none: (-3.879179322621676e+202 3.321782785676469e-255): 0 * [misc]none: (-1.2383129644834284e+160 -1.062164837135673e+42): 0 * [misc]none: (2.2752166795075178e+129 3.459069485774471e+125): 0 * [misc]none: (6.125263020847728e+200 1.0472163764779166e+211): 0 * [misc]none: (-5.593167094268887e-190 1.7800753731525426e+39): 0 * [misc]none: (-1.9563965618862005e+178 6.863804525144902e-237): 0 * [misc]none: (-1.497130859851894e+57 3.826166416762639e+216): 0 * [misc]none: (1.1663715170234023e-33 1.821316082219445e-31): 1 * [misc]none: (-1.441560479175162e+51 -4.8973687170160837e+185): 0 * [misc]none: (5.965572216773997e-266 -1.7112087034006054e+282): 0 * [misc]none: (-8.627178870504794e+293 1.1867578517998852e-122): 0 * [misc]none: (-1.1961490139198145e+35 4.388887965185748e-231): 2 * [misc]none: (-3.990775770507464e-143 12041477.739790332): 0 * [misc]none: (-1.3991744780612765e+87 -1.8538245512787994e+136): 0 * [misc]none: (4.053980966469101e+302 2.8402608015100704e-250): 0 * [misc]none: (-1348564663705.779 -4.759757548074155e+194): 0 * [misc]none: (4.52129342202891e+175 -1.6048248782469113e+61): 0 * [misc]none: (-3.969668283468194e-23 5.258242405229196e-247): 4 * [misc]none: (-9.498386678851063e-197 -1.0709835258895982e+166): 0 * [misc]none: (2.0947420887546095e+247 -3.0889064673505896e+234): 0 * [misc]none: (-8.244426084214624e-140 2.1503851256841087e+121): 0 * [misc]none: (2.5076686139270383e-164 -0.0022300046209729825): 0 * [misc]none: (1.194061872367895e+220 1.0389358047373285e-37): 0 * [misc]none: (-2.983618099380393e-19 6.08182357871597e-19): 0 * [misc]none: (3.919727770092923e-28 -8.796417170933511e-157): 1 * [misc]none: (2.5194286288656994e+137 -2.803376858595825e-183): 0 * [misc]none: (1.2240297986851114e+251 3.45808714185781e+34): 0 * [misc]none: (7.826697678487528e+235 -1.210994144233347e-198): 5 * [misc]none: (-2.0317891841612197e-99 -6.22947928384665e-25): 0 * [misc]none: (3.1150480705854042e+199 -1.1101608934114058e+37): 0 * [misc]none: (1.882634228916084e+104 6.309071689177259e-279): 0 * [misc]none: (1.6670391926080915e+97 1.5332802818158087e+215): 0 * [misc]none: (-1.0118756898573112e+168 -2.1001979573866983e-194): 0 * [misc]none: (-4.555748018209325e-271 1.7527084173765072e+214): 5 * [misc]none: (-3.566410115265179e+77 -2.0754253193237223e+276): 0 * [misc]none: (1.4185317245467992e+152 -1.3311644893547746e+182): 0 * [misc]none: (-3.678907798082827e-113 6.040835984474006e+24): 3 * [misc]none: (-3.1450504266029292e+299 -6.998469069018224e-161): 0 * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 4 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 0 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 0 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 1 * [misc]none: (6.224141164637054e+75 -1.2086624476009651e-200): 0 * [misc]none: (2.3623052767393814e+153 4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222 -4.6390246315423324e+36): 0 * [misc]none: (1.2790861077923577e+68 1.0592112097552954e+143): 0 * [misc]none: (-7.191398511280425e-59 -2.3255237224962407e-56): 0 * [misc]none: (1.6780592368033288e-262 1.5331200777386884e+269): 0 * [misc]none: (4.5525663232975395e+86 4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176 5.752669291865014e-257): 5 * [misc]none: (-2.06284826271339e+143 -7.24722487096989e+250): 0 * [misc]none: (-2.2793842908096357e+72 -8.124520965103743e+145): 0 * [misc]none: (3.727663855470157e+254 8.775974517752829e+204): 0 * [misc]none: (-644684.1881687096 -5.072621494700167e+267): 0 * [misc]none: (-4.473451124127099e-235 1.5758037123807388e+87): 3 * [misc]none: (-3.1154131766396667e+29 2.4492953260422185e+131): 0 * [misc]none: (5.835395598392501e+198 -1.2951522948212234e+105): 0 * [misc]none: (2.2545095115116114e+189 -1.4107789582096962e+111): 0 * [misc]none: (-3.9546390943242443e-82 1.457018723838865e-35): 0 * [misc]none: (-3.30379604621756e-180 -8.185062082112633e+221): 1 * [misc]none: (-9.870003932393336e-46 -2.2727962542731896e+253): 0 * [misc]none: (6.967234360883543e-112 2.0770495361468835e+203): 3 * [misc]none: (-3.5348879909542174e+259 3.1401318723071353e-131): 0 * [misc]none: (-1.4852188300484065e-239 -3.374264737975756e+72): 1 * [misc]none: (-1.0890756353988414e+102 0.228970627026966): 3 * [misc]none: (8.40469635347052e+100 2.1321881547753267e-44): 0 * [misc]none: (6.866799226360426e-109 6.417434319517234e+231): 0 * [misc]none: (-2.5125878605191734e-29 4.508352673437809e+248): 0 * [misc]none: (-1.4801509312754967e-61 -5.163900824605852e+32): 6 * [misc]none: (1.430295312965348e-149 3.112001531242655e+80): 4 * [misc]none: (-2.6904647286120434e+306 -2.4014893155423993e+35): 0 * [misc]none: (-1.9863653303691194e-296 -1.5110806788081036e+47): 8 * [misc]none: 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(3.9135950474809954e+67 -2.028037433935809e-224): 5 * [misc]none: (-3.943510659225903e+212 8.87668088957479e+21): 0 * [misc]none: (4.513009124607983e-82 -1.952161770664997e+168): 0 * [misc]none: (-3.2026896500136593e+106 3.9964248706286793e+300): 0 * [misc]none: (4.3776582898304966e+81 1.5274484190953342e-17): 0 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 0 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 0 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: All alt indices * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ PI 2))): 0 * [misc]none: (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)): 1 * [misc]none: (λ (a b) (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ PI 2)))): 2 * [misc]none: (λ (a b) (* (* (/ (- (/ 1 a) (/ 1 b)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) (* (+ (* b b) (- (* a a) (* b a))) (+ (* b b) (+ (* a a) (* b a))))) (/ PI 2))): 3 * [misc]none: (λ (a b) (* (* (/ 1 (+ b a)) (* (/ 1 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))))) (/ PI 2))): 4 * [misc]none: (λ (a b) (/ (- (/ PI a) (/ PI b)) (* (* (+ b a) (- b a)) 2))): 5 * [misc]none: (λ (a b) (* (/ 1 (+ b a)) (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI 2)))): 6 * [misc]none: (λ (a b) (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) PI)) (* (- b a) 2))): 7 * [misc]none: (λ (a b) (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b)))): 8 * [misc]none: (λ (a b) (* (* (/ (/ 1 (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) (/ PI 2))): 9 * [misc]none: (λ (a b) (* (* (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (+ b a)) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) (/ PI 2))): 10 * [misc]none: Best alt per point * [misc]none: 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1.504878381563487e-123): 4 * [misc]none: (-3.141023895275641e+245 -3.001476290410935e-269): 0 * [misc]none: (8.06210226572923e-308 1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100 -4.31661667731193e-265): 5 * [misc]none: (2.0724540688985427e-14 7.930730410937821e+23): 1 * [misc]none: (1.2219765589404705e+117 -2.933277138800709e+90): 0 * [misc]none: (4.8815870270916733e+188 -1.5358179930137542e+240): 0 * [misc]none: (-4.258931337566508e+98 -1.144012682699149e-39): 5 * [misc]none: (6.537529222720653e-92 -1.945641295132362e+247): 0 * [misc]none: (-2.0251187412162225e-215 3.5709688782890513e-43): 1 * [misc]none: (4.870593988390179e-194 5.0297272719312193e+287): 0 * [misc]none: (-4.2293501993920744e-96 -2.936155159322882e+301): 0 * [misc]none: (-7.874126038339784e+73 -2.0493644688447925e+84): 0 * [misc]none: (0.3310558223342685 -7.980090992758681e-50): 0 * [misc]none: (-1.0048785011627561e-129 8.127248813391785e+226): 0 * [misc]none: (-1.483643755550628e-284 -2.8769042098391767e+238): 0 * [misc]none: (3.506434173585025e+201 1.1750256677114723e+302): 0 * [misc]none: (1.7531612809893653e+136 8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266 9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06 -3.752236763580095e-230): 0 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (3.9135950474809954e+67 -2.028037433935809e-224): 0 * [misc]none: (-3.943510659225903e+212 8.87668088957479e+21): 0 * [misc]none: (4.513009124607983e-82 -1.952161770664997e+168): 0 * [misc]none: (-3.2026896500136593e+106 3.9964248706286793e+300): 0 * [misc]none: (4.3776582898304966e+81 1.5274484190953342e-17): 1 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 0 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 0 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: Picked alt (λ (a b) (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) 1)) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ 2 (/ PI b)) into (* 2 (/ b PI)) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (/ 2 (/ PI a)) into (* 2 (/ a PI)) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (/ 2 (/ PI a)) into (* 2 (/ a PI)) * [misc]taylor: Taking taylor expansion of (* 2 (/ a PI)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ PI a)) (+ (* (* 2 (/ a PI)) (/ (- (/ PI (pow a 2))) (/ PI a))))) into (* 2 (/ 1 PI)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 PI)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) * [misc]backup-simplify: Simplify (- (/ 0 (/ PI a)) (+ (* (* 2 (/ a PI)) (/ (/ PI (pow a 3)) (/ PI a))) (* (* 2 (/ 1 PI)) (/ (- (/ PI (pow a 2))) (/ PI a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 0 a)) (* (/ PI (pow a 3)) (/ 1 a)))) into (- (/ PI (pow a 4))) * [misc]backup-simplify: Simplify (- (/ 0 (/ PI a)) (+ (* (* 2 (/ a PI)) (/ (- (/ PI (pow a 4))) (/ PI a))) (* (* 2 (/ 1 PI)) (/ (/ PI (pow a 3)) (/ PI a))) (* 0 (/ (- (/ PI (pow a 2))) (/ PI a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 PI) (* a 1)) (* (/ 2 PI) (* 1 b))) into (+ (* 2 (/ b PI)) (* 2 (/ a PI))) * [misc]approximate: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ 2 PI) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ (- (/ PI a)) PI)))) into (* 2 (/ 1 (* PI a))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ (/ PI (pow a 2)) PI)) (* (* 2 (/ 1 (* PI a))) (/ (- (/ PI a)) PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)))) 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ 0 1)) (* (/ PI (pow a 2)) (/ (/ 1 a) 1)))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ (- (/ PI (pow a 3))) PI)) (* (* 2 (/ 1 (* PI a))) (/ (/ PI (pow a 2)) PI)) (* 0 (/ (- (/ PI a)) PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) 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 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ 0 1)) (* (/ PI (pow a 2)) (/ 0 1)) (* (- (/ PI (pow a 3))) (/ (/ 1 a) 1)))) into (/ PI (pow a 4)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ (/ PI (pow a 4)) PI)) (* (* 2 (/ 1 (* PI a))) (/ (- (/ PI (pow a 3))) PI)) (* 0 (/ (/ PI (pow a 2)) PI)) (* 0 (/ (- (/ PI a)) PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 PI) (* 1 (/ 1 (/ 1 b)))) (* (/ 2 PI) (* (/ 1 (/ 1 a)) 1))) into (+ (* 2 (/ b PI)) (* 2 (/ a PI))) * [misc]approximate: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 2 (* -1 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 2 (* -1 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 2 (* -1 PI)) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ -2 PI) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -2 PI) (/ (/ PI a) (* -1 PI))))) into (- (* 2 (/ 1 (* PI a)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* PI a)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (/ 2 PI)) into (- (* 2 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 PI))) into (- (* 2 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -2 PI) (/ (- (/ PI (pow a 2))) (* -1 PI))) (* (- (* 2 (/ 1 (* PI a)))) (/ (/ PI a) (* -1 PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ 0 -1)) (* (- (/ PI (pow a 2))) (/ (- (/ 1 a)) -1)))) into (/ PI (pow a 3)) * [misc]backup-simplify: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -2 PI) (/ (/ PI (pow a 3)) (* -1 PI))) (* (- (* 2 (/ 1 (* PI a)))) (/ (- (/ PI (pow a 2))) (* -1 PI))) (* 0 (/ (/ PI a) (* -1 PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ 0 -1)) (* (- (/ PI (pow a 2))) (/ 0 -1)) (* (/ PI (pow a 3)) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 4))) * [misc]backup-simplify: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -2 PI) (/ (- (/ PI (pow a 4))) (* -1 PI))) (* (- (* 2 (/ 1 (* PI a)))) (/ (/ PI (pow a 3)) (* -1 PI))) (* 0 (/ (- (/ PI (pow a 2))) (* -1 PI))) (* 0 (/ (/ PI a) (* -1 PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 PI) (* 1 (/ 1 (/ 1 (- b))))) (* (- (* 2 (/ 1 PI))) (* (/ 1 (/ 1 (- a))) 1))) into (+ (* 2 (/ b PI)) (* 2 (/ a PI))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (/ PI (+ b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 (- (/ 0 1) (+ (* PI (/ 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 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 (- (/ 0 1) (+ (* PI (/ 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]approximate: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) 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 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 a)) -1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI a) (/ (- (/ 1 a)) -1)))) into (- (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 2)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 2) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 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 (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 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 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 b) (/ 1 a))) into (/ 1 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* b (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* b (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* b (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 b) (/ 1 a))) into (/ 1 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of b in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* b (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (- (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1 (* b a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ -1 (- a)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (/ 2 (/ PI a)) into (* 2 (/ a PI)) * [misc]backup-simplify: Simplify (/ (/ 1 a) (* 2 (/ a PI))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ 2 (/ PI b)) into (* 2 (/ b PI)) * [misc]backup-simplify: Simplify (/ (/ 1 b) (* 2 (/ b PI))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ b a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]backup-simplify: Simplify (/ 2 (/ PI b)) into (* 2 (/ b PI)) * [misc]backup-simplify: Simplify (/ (/ 1 b) (* 2 (/ b PI))) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 2)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ PI b)) (+ (* (* 2 (/ b PI)) (/ (- (/ PI (pow b 2))) (/ PI b))))) into (* 2 (/ 1 PI)) * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ b PI))) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (* 2 (/ 1 PI)) (* 2 (/ b PI)))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) 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 (- (+ (* (/ 1 b) (/ 0 b)))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- (/ 0 (/ PI b)) (+ (* (* 2 (/ b PI)) (/ (/ PI (pow b 3)) (/ PI b))) (* (* 2 (/ 1 PI)) (/ (- (/ PI (pow b 2))) (/ PI b))))) into (- (* 2 (/ 1 (* PI b))) (* 2 (/ 1 (* b PI)))) * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (/ b PI))) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- (* 2 (/ 1 (* PI b))) (* 2 (/ 1 (* b PI)))) (* 2 (/ b PI)))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ (* 2 (/ 1 PI)) (* 2 (/ b PI)))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (/ PI (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (/ PI (+ (/ 1 b) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ a (/ 2 PI)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (/ PI (+ (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ b (/ 2 PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 2 (/ PI (+ (/ 1 b) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- b) into (- b) * [misc]backup-simplify: Simplify (+ 0 (- b)) into (- b) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- b) -1) into b * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ b (/ 2 PI)) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* b (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ (- (/ PI b)) PI)))) into (* 2 (/ 1 (* PI b))) * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 PI)) (+ (* (* 1/2 (* b PI)) (/ (* 2 (/ 1 (* PI b))) (/ 2 PI))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* b (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 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) (+ (* b (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ (/ PI (pow b 2)) PI)) (* (* 2 (/ 1 (* PI b))) (/ (- (/ PI b)) PI)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 PI)) (+ (* (* 1/2 (* b PI)) (/ 0 (/ 2 PI))) (* (- (* 1/2 PI)) (/ (* 2 (/ 1 (* PI b))) (/ 2 PI))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- a) -1) into a * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 2 (* -1 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ a (/ -2 PI)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 2 (* -1 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ b (/ -2 PI)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b)) into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ b 1) into b * [misc]taylor: Taking taylor expansion of (/ 2 (/ PI (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (/ 2 (* -1 PI)) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ b (/ -2 PI)) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b PI)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* b (/ (- (/ 1 b)) 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -2 PI) (/ (/ PI b) (* -1 PI))))) into (- (* 2 (/ 1 (* PI b)))) * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 PI)) (+ (* (* -1/2 (* b PI)) (/ (- (* 2 (/ 1 (* PI b)))) (/ -2 PI))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -2 PI) (/ (- (/ PI (pow b 2))) (* -1 PI))) (* (- (* 2 (/ 1 (* PI b)))) (/ (/ PI b) (* -1 PI))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 PI)) (+ (* (* -1/2 (* b PI)) (/ 0 (/ -2 PI))) (* (* 1/2 PI) (/ (- (* 2 (/ 1 (* PI b)))) (/ -2 PI))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (expm1 (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (expm1 (* (/ 2 PI) (+ a b))) * * * * [misc]progress: [ 2 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (log1p (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (log1p (* (/ 2 PI) (+ a b))) * * * * [misc]progress: [ 3 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (log (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (log (* (/ 2 PI) (+ a b))) * * * * [misc]progress: [ 5 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (exp (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (exp (* (/ 2 PI) (+ a b))) * * * * [misc]progress: [ 6 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 PI) (+ a b))) (cbrt (* (/ 2 PI) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 PI) (+ a b))) (cbrt (* (/ 2 PI) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (cbrt (* (/ 2 PI) (+ a b))) * * * * [misc]progress: [ 7 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 2 (/ PI (+ b a))) (/ 2 (/ PI (+ b a)))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (pow (* (/ 2 PI) (+ a b)) 3) * [exit]simplify: Simplified to (pow (* (/ 2 PI) (+ a b)) 3) * * * * [misc]progress: [ 8 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (sqrt (* (/ 2 PI) (+ a b))) * [enter]simplify: Simplifying (sqrt (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (* (/ 2 PI) (+ a b))) * [exit]simplify: Simplified to (sqrt (* (/ 2 PI) (+ a b))) * * * * [misc]progress: [ 9 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- 2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- 2) * [exit]simplify: Simplified to (- 2) * [enter]simplify: Simplifying (- (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (- PI) (+ b a)) * [exit]simplify: Simplified to (/ (- PI) (+ b a)) * * * * [misc]progress: [ 10 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (+ a b) PI) * [exit]simplify: Simplified to (/ (+ a b) PI) * * * * [misc]progress: [ 12 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ b a)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 13 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b)))) * [exit]simplify: Simplified to (/ (/ 2 (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b)))) * * * * [misc]progress: [ 14 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (sqrt (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 2 (sqrt (/ PI (+ a b)))) * [exit]simplify: Simplified to (/ 2 (sqrt (/ PI (+ a b)))) * * * * [misc]progress: [ 15 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 16 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 2 PI) * [exit]simplify: Simplified to (/ 2 PI) * * * * [misc]progress: [ 17 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ PI (+ (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (* (fma (* b b) b (pow a 3)) (/ 2 PI)) * [exit]simplify: Simplified to (* (fma (* b b) b (pow a 3)) (/ 2 PI)) * * * * [misc]progress: [ 18 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 (/ PI (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (* (/ 2 PI) (* (+ a b) (- b a))) * [exit]simplify: Simplified to (* (/ 2 PI) (* (+ a b) (- b a))) * * * * [misc]progress: [ 19 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 2 PI) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ 2 PI) * [exit]simplify: Simplified to (/ 2 PI) * * * * [misc]progress: [ 20 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (+ b a))) * [exit]simplify: Simplified to (expm1 (/ PI (+ b a))) * * * * [misc]progress: [ 21 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (/ PI (+ b a))) * [exit]simplify: Simplified to (log1p (/ PI (+ b a))) * * * * [misc]progress: [ 22 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (log (/ PI (+ b a))) * [exit]simplify: Simplified to (log (/ PI (+ b a))) * * * * [misc]progress: [ 24 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ PI (+ b a))) * [exit]simplify: Simplified to (exp (/ PI (+ b a))) * * * * [misc]progress: [ 25 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) * [enter]simplify: Simplifying (cbrt (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * * * * [misc]progress: [ 26 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (pow (/ PI (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ PI (+ b a)) 3) * * * * [misc]progress: [ 27 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * [enter]simplify: Simplifying (sqrt (/ PI (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * * * * [misc]progress: [ 28 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 29 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 31 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) PI) * [exit]simplify: Simplified to (/ (+ a b) PI) * * * * [misc]progress: [ 32 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 33 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 34 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 35 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ PI (fma (* b b) b (pow a 3))) * [exit]simplify: Simplified to (/ PI (fma (* b b) b (pow a 3))) * * * * [misc]progress: [ 36 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (/ PI (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ PI (* (- b a) (+ a b))) * * * * [misc]progress: [ 37 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (expm1 (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 38 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (log1p (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 39 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) * [exit]simplify: Simplified to (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) * * * * [misc]progress: [ 41 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 42 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (exp (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 43 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (304 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * * * * [misc]progress: [ 44 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 45 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ 1 a) (/ 1 b)) (- b a)) 3) * * * * [misc]progress: [ 46 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * * * [misc]progress: [ 47 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [exit]simplify: Simplified to (- (/ 1 b) (/ 1 a)) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 48 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 a) (- b a)) * [enter]simplify: Simplifying (/ (/ 1 b) (- b a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 b) (- b a)) * * * * [misc]progress: [ 49 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * * * [misc]progress: [ 50 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * * * [misc]progress: [ 51 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [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 (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) * * * * [misc]progress: [ 52 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) * * * * [misc]progress: [ 53 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * * * * [misc]progress: [ 54 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * [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 (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) * * * * [misc]progress: [ 55 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 56 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 57 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 58 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) * * * * [misc]progress: [ 59 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) * * * * [misc]progress: [ 60 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) * * * * [misc]progress: [ 61 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 62 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 63 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 64 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 65 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 66 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 67 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 68 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 69 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 70 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) * * * * [misc]progress: [ 71 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 72 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 73 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 75 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 76 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 77 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) * * * * [misc]progress: [ 78 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * * * * [misc]progress: [ 79 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 80 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 81 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 82 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (- b a) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 83 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 84 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 85 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 86 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (/ (- b a) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 87 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) (- a) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (fma (* a a) (- a) (pow b 3))) * * * * [misc]progress: [ 88 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) * * * * [misc]progress: [ 89 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- b a) (* a b)) * [exit]simplify: Simplified to (* (- b a) (* a b)) * * * * [misc]progress: [ 90 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (* (/ 1 a) (/ 1 a)) (+ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (fma (+ (/ 1 a) (/ 1 b)) (/ (- b a) b) (/ (- b a) (* a a))) * [exit]simplify: Simplified to (fma (+ (/ 1 a) (/ 1 b)) (/ (- b a) b) (/ (- b a) (* a a))) * * * * [misc]progress: [ 91 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * [exit]simplify: Simplified to (+ (/ (- b a) b) (/ (- b a) a)) * [exit]simplify: Simplified to (+ (/ (- b a) b) (/ (- b a) a)) * * * * [misc]progress: [ 92 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * [exit]simplify: Simplified to (expm1 (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * * * * [misc]progress: [ 93 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * [exit]simplify: Simplified to (log1p (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * * * * [misc]progress: [ 94 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) (log (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) (log (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (- (- (log (- (/ 1 a) (/ 1 b))) (log (- b a))) (log (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 96 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) (log (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (- (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) (log (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (- (log (/ (- (/ 1 a) (/ 1 b)) (- b a))) (log (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 97 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (log (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (/ PI (+ b a)))) * [exit]simplify: Simplified to (log (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (/ PI (+ b a)))) * * * * [misc]progress: [ 98 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (pow (exp (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a)))) * [exit]simplify: Simplified to (pow (exp (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a)))) * * * * [misc]progress: [ 99 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* (- b a) (- b a)) (- b a))) (* (* (/ 2 (/ PI (+ b a))) (/ 2 (/ PI (+ b a)))) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (+ b a))) (* (* (/ 2 PI) (+ b a)) (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (* (* (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (/ (- (/ 1 a) (/ 1 b)) (* (/ 2 PI) (+ b a))) (* (* (/ 2 PI) (+ b a)) (* (/ 2 PI) (+ b a))))) * * * * [misc]progress: [ 100 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (* (/ 2 (/ PI (+ b a))) (/ 2 (/ PI (+ b a)))) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (pow (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (/ PI (+ b a))) 3) * [exit]simplify: Simplified to (pow (* (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) (/ PI (+ b a))) 3) * * * * [misc]progress: [ 101 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ PI (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (* (/ PI (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [exit]simplify: Simplified to (* (cbrt (* (/ PI (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2))) (cbrt (* (/ PI (* (+ b a) (- b a))) (/ (- (/ 1 a) (/ 1 b)) 2)))) * [enter]simplify: Simplifying (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * [exit]simplify: Simplified to (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * * * * [misc]progress: [ 102 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ 2 PI)) 3) * [exit]simplify: Simplified to (pow (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ 2 PI)) 3) * * * * [misc]progress: [ 103 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (294 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * [exit]simplify: Simplified to (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (- b a) PI))) * * * * [misc]progress: [ 104 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 b) (/ 1 a)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 b) (/ 1 a)) (- b a)) * [enter]simplify: Simplifying (- (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (/ (- 2) PI) (+ a b)) * [exit]simplify: Simplified to (* (/ (- 2) PI) (+ a b)) * * * * [misc]progress: [ 105 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 a) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (* 2 a) (- b a))) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* (* 2 a) (- b a))) * [enter]simplify: Simplifying (/ (/ (/ 1 b) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (252 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) (- b a)) (* (+ a b) 2)) * [exit]simplify: Simplified to (/ (/ (/ PI b) (- b a)) (* (+ a b) 2)) * * * * [misc]progress: [ 106 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI))))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 107 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 108 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (/ PI (+ b a)) 2)) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (/ PI (+ b a)) 2)) * * * * [misc]progress: [ 109 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) PI)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) PI)) * * * * [misc]progress: [ 110 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) PI)) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) (* (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) PI)) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * * * * [misc]progress: [ 111 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (cbrt (* (+ b a) (/ 2 PI))) (cbrt (* (+ b a) (/ 2 PI))))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (* (cbrt (* (+ b a) (/ 2 PI))) (cbrt (* (+ b a) (/ 2 PI))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 112 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 113 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (/ PI (+ b a)) 2)) * [exit]simplify: Simplified to (* (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (/ PI (+ b a)) 2)) * * * * [misc]progress: [ 114 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) 2) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) PI)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ (+ b a) PI)) * * * * [misc]progress: [ 115 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 2 PI)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (/ 2 PI)) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a))) (+ b a)) * * * * [misc]progress: [ 116 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI))))) * [exit]simplify: Simplified to (* (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 117 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (* (/ 2 PI) (+ b a))) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (* (/ 2 PI) (+ b a))) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 118 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 119 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) 2)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) 2)) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 120 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ PI 2) (cbrt (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (* (/ (/ PI 2) (cbrt (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ (cbrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 121 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 122 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 123 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 124 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) (/ (sqrt (- b a)) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 125 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (sqrt (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ 2 (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (* (/ PI (sqrt (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) (/ 2 (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 126 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (- b a)) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (- b a)) * * * * [misc]progress: [ 127 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (* (+ b a) (/ 2 PI)))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (* (+ b a) (/ 2 PI)))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (- b a)) * [exit]simplify: Simplified to (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (- b a)) * * * * [misc]progress: [ 128 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 129 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ 1 a) (/ 1 b))) 2) (cbrt (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (* (cbrt (- (/ 1 a) (/ 1 b))) (/ PI (* (+ b a) (- b a)))) * * * * [misc]progress: [ 130 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) 1) (/ 2 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ 2 PI) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (/ (/ 2 PI) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 131 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 132 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 133 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 134 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) 2)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) 2)) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 135 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (cbrt (- b a)))) * * * * [misc]progress: [ 136 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (* (cbrt (* (+ b a) (/ 2 PI))) (cbrt (* (+ b a) (/ 2 PI))))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (* (cbrt (* (+ b a) (/ 2 PI))) (cbrt (* (+ b a) (/ 2 PI))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 137 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 138 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * * [misc]simplify: iters left: 1 (478 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ (/ PI 2) (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 139 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* 2 (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* 2 (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ (/ PI (+ b a)) (sqrt (- b a)))) * * * * [misc]progress: [ 140 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- b a)) (/ 2 PI))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (sqrt (- b a)) (/ 2 PI))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (sqrt (- b a)))) * * * * [misc]progress: [ 141 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (- b a)) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (* (/ 2 PI) (+ b a)))) (- b a)) * * * * [misc]progress: [ 142 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (- b a)) * [exit]simplify: Simplified to (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (* (/ 2 PI) (+ b a)))) (- b a)) * * * * [misc]progress: [ 143 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (sqrt (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (/ 2 PI) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 144 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) 2) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ PI (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (* (sqrt (- (/ 1 a) (/ 1 b))) (/ PI (* (+ b a) (- b a)))) * * * * [misc]progress: [ 145 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) 1) (/ 2 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (/ 2 PI)) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ 1 a) (/ 1 b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 146 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 147 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 148 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * * * * [misc]progress: [ 149 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * * * * [misc]progress: [ 150 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 151 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 152 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 153 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * * * * [misc]progress: [ 154 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * * * * [misc]progress: [ 155 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 156 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 157 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 158 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * * * * [misc]progress: [ 159 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * * * * [misc]progress: [ 160 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 161 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (* (/ 2 PI) (+ a b)))) (* (cbrt (* (/ 2 PI) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (cbrt (* (/ 2 PI) (+ a b)))) (* (cbrt (* (/ 2 PI) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (* (/ 2 PI) (+ a b))))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (* (/ 2 PI) (+ a b))))) * * * * [misc]progress: [ 162 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (sqrt (* (+ a b) (/ 2 PI))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (sqrt (* (+ a b) (/ 2 PI))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (sqrt (* (/ 2 PI) (+ a b))))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (sqrt (* (/ 2 PI) (+ a b))))) * * * * [misc]progress: [ 163 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (/ 2 PI) (+ a b)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (/ 2 PI) (+ a b)) (cbrt (- b a)))) * * * * [misc]progress: [ 164 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (cbrt (- b a)))) * * * * [misc]progress: [ 165 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (/ PI 2))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ (* (cbrt (- b a)) (cbrt (- b a))) (/ PI 2))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 166 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) (* (cbrt (* (/ 2 PI) (+ a b))) (cbrt (* (/ 2 PI) (+ a b))))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) (* (cbrt (* (/ 2 PI) (+ a b))) (cbrt (* (/ 2 PI) (+ a b))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (sqrt (- b a)) (cbrt (* (/ 2 PI) (+ a b))))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (sqrt (- b a)) (cbrt (* (/ 2 PI) (+ a b))))) * * * * [misc]progress: [ 167 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (* (/ 2 PI) (+ a b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (* (/ 2 PI) (+ a b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (sqrt (- b a)) (sqrt (* (/ 2 PI) (+ a b))))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (sqrt (- b a)) (sqrt (* (/ 2 PI) (+ a b))))) * * * * [misc]progress: [ 168 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (/ 2 PI) (+ a b)) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (/ 2 PI) (+ a b)) (sqrt (- b a)))) * * * * [misc]progress: [ 169 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* 2 (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* 2 (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * [exit]simplify: Simplified to (* (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (/ PI (+ a b)) (sqrt (- b a)))) * * * * [misc]progress: [ 170 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (/ 2 PI) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (/ 2 PI) (sqrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 171 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (cbrt (* (+ a b) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (cbrt (* (+ a b) (/ 2 PI)))) * * * * [misc]progress: [ 172 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (* (/ 2 PI) (+ a b)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (sqrt (* (/ 2 PI) (+ a b)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (sqrt (* (+ a b) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (sqrt (* (+ a b) (/ 2 PI)))) * * * * [misc]progress: [ 173 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (/ 2 PI) (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (* (/ 2 PI) (- b a)) (+ a b))) * * * * [misc]progress: [ 174 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) 2) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) 2) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (* (- b a) (+ a b)) PI)) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (/ (* (- b a) (+ a b)) PI)) * * * * [misc]progress: [ 175 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ 1 a)) (sqrt (/ 1 b))) 1) (/ 2 PI)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ 2 PI)) * [exit]simplify: Simplified to (/ (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (/ 2 PI)) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (* (+ a b) (- b a))) * * * * [misc]progress: [ 176 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 177 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 178 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * * * * [misc]progress: [ 179 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * * * * [misc]progress: [ 180 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 181 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 182 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 183 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * * * * [misc]progress: [ 184 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * * * * [misc]progress: [ 185 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 186 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 187 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 188 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * * * * [misc]progress: [ 189 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * * * * [misc]progress: [ 190 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 191 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 192 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 193 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * * * * [misc]progress: [ 194 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * * * * [misc]progress: [ 195 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 196 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 197 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 198 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * * * * [misc]progress: [ 199 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * * * * [misc]progress: [ 200 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 201 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 202 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 203 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * * * * [misc]progress: [ 204 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * * * * [misc]progress: [ 205 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 206 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 207 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 208 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * * * * [misc]progress: [ 209 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * * * * [misc]progress: [ 210 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 211 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 212 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 213 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * * * * [misc]progress: [ 214 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * * * * [misc]progress: [ 215 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 216 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 217 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 218 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * * * * [misc]progress: [ 219 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * * * * [misc]progress: [ 220 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 221 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (* (cbrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 222 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ 1 (* (sqrt (* (/ 2 PI) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 223 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (cbrt (- b a)) PI)) * * * * [misc]progress: [ 224 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 2) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (cbrt (- b a))) * * * * [misc]progress: [ 225 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (- b a))) (* 2 (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 226 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) (cbrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 227 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 228 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) 2)) (/ (sqrt (- b a)) PI)) * * * * [misc]progress: [ 229 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (- (/ 1 a) (/ 1 b)) (/ PI (+ b a))) (sqrt (- b a))) * * * * [misc]progress: [ 230 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (- b a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 231 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) (+ b a))) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 232 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 233 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * * * * [misc]progress: [ 234 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 2) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * * * * [misc]progress: [ 235 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (/ 2 PI)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 236 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (* (/ 2 PI) (+ b a)))) (cbrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 237 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 238 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (* (/ PI (+ b a)) (- (/ 1 a) (/ 1 b))) (* 2 (- b a))) * * * * [misc]progress: [ 239 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * [exit]simplify: Simplified to (* (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ PI (+ b a))) * * * * [misc]progress: [ 240 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 PI)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 241 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (* (/ 2 PI) (+ b a)))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (* (/ 2 PI) (+ b a)))) (cbrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 242 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (sqrt (* (+ b a) (/ 2 PI)))) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (/ 1 (- b a)) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 243 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* 2 (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* 2 (+ b a))) * * * * [misc]progress: [ 244 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) 2) * * [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 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) 2) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (+ b a)) * * * * [misc]progress: [ 245 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ 1 a) (/ 1 b)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [exit]simplify: Simplified to (/ (- (/ PI a) (/ PI b)) 2) * [enter]simplify: Simplifying (/ (/ 1 (- b a)) (+ b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ 1 (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ 1 (* (- b a) (+ b a))) * * * * [misc]progress: [ 246 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (* (/ 2 PI) (+ b a)))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (* (/ 2 PI) (+ b a))))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (* (/ 2 PI) (+ b a)))) (* (fma (- a) (* a a) (pow b 3)) (cbrt (* (/ 2 PI) (+ b a))))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (cbrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (cbrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 247 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (- a) (* a a) (pow b 3))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (fma (- a) (* a a) (pow b 3))) (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (sqrt (* (+ b a) (/ 2 PI)))) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (sqrt (* (+ b a) (/ 2 PI)))) * * * * [misc]progress: [ 248 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (fma (- a) (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (fma (- a) (* a a) (pow b 3))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (* (/ 2 PI) (+ b a))) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (* (/ 2 PI) (+ b a))) * * * * [misc]progress: [ 249 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) 2) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* (* b 2) (* b b)) (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- (* (* b 2) (* b b)) (* (* 2 a) (* a a)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (/ (+ b a) PI)) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (/ (+ b a) PI)) * * * * [misc]progress: [ 250 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (pow b 3) (pow a 3))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (393 enodes) * [exit]simplify: Simplified to (/ (+ (- (/ PI b)) (/ PI a)) (- (* (* b b) (* b 2)) (* (* 2 a) (* a a)))) * [exit]simplify: Simplified to (/ (+ (- (/ PI b)) (/ PI a)) (- (* (* b b) (* b 2)) (* (* 2 a) (* a a)))) * [enter]simplify: Simplifying (/ (+ (* b b) (+ (* a a) (* b a))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (+ b a)) * [exit]simplify: Simplified to (/ (fma a (+ b a) (* b b)) (+ b a)) * * * * [misc]progress: [ 251 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (* (+ b a) (/ 2 PI)))) (* (- (* b b) (* a a)) (cbrt (* (+ b a) (/ 2 PI))))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (* (+ b a) (/ 2 PI)))) (* (- (* b b) (* a a)) (cbrt (* (+ b a) (/ 2 PI))))) * [enter]simplify: Simplifying (/ (+ b a) (cbrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (* (/ 2 PI) (+ a b)))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (* (/ 2 PI) (+ a b)))) * * * * [misc]progress: [ 252 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (sqrt (* (/ 2 PI) (+ b a)))) * [enter]simplify: Simplifying (/ (+ b a) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (* (/ 2 PI) (+ a b)))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (* (/ 2 PI) (+ a b)))) * * * * [misc]progress: [ 253 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))) * [enter]simplify: Simplifying (/ (+ b a) (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 254 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) 2) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* (- b a) 2) (+ b a))) * [enter]simplify: Simplifying (/ (+ b a) (/ 1 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 255 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- (* b b) (* a a))) (/ 2 PI)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (232 enodes) * [exit]simplify: Simplified to (* (/ PI (* (- b a) 2)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [exit]simplify: Simplified to (* (/ PI (* (- b a) 2)) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) * [enter]simplify: Simplifying (/ (+ b a) (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 256 / 307 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 2 (/ PI (+ b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 258 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 259 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (* (cbrt (/ 2 (/ PI (+ b a)))) (cbrt (/ 2 (/ PI (+ b a)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) (cbrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (cbrt (* (/ 2 PI) (+ b a)))) (cbrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 260 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (/ 2 (/ PI (+ b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (sqrt (* (/ 2 PI) (+ b a)))) * * * * [misc]progress: [ 261 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (- b a)) * * * * [misc]progress: [ 262 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) * * * * [misc]progress: [ 263 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 PI)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) * * * * [misc]progress: [ 264 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (/ 2 PI)) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (/ (* (+ a b) (/ 2 PI)) (cbrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 265 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (/ 2 PI)) (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * [exit]simplify: Simplified to (/ (* (+ a b) (/ 2 PI)) (sqrt (/ (- (/ 1 a) (/ 1 b)) (- b a)))) * * * * [misc]progress: [ 266 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (* (+ a b) (/ 2 PI))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (* (+ a b) (/ 2 PI))) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 267 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- b a)) (* (+ a b) (/ 2 PI))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (sqrt (- b a)) (* (+ a b) (/ 2 PI))) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 268 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (cbrt (- (/ 1 a) (/ 1 b))) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (/ (* (* (/ 2 PI) (- b a)) (+ a b)) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (/ 2 PI) (- b a)) (+ a b)) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 269 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (* (+ a b) (/ 2 PI))) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (* (+ a b) (/ 2 PI))) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 270 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- b a)) (* (+ a b) (/ 2 PI))) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (sqrt (- b a)) (* (+ a b) (/ 2 PI))) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 271 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (sqrt (- (/ 1 a) (/ 1 b))) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (/ (* (* (/ 2 PI) (- b a)) (+ a b)) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (* (/ 2 PI) (- b a)) (+ a b)) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 272 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 273 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 274 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 275 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (* (+ a b) (/ 2 PI))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (cbrt (- b a)) (* (+ a b) (/ 2 PI))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 276 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- b a)) (* (+ a b) (/ 2 PI))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (sqrt (- b a)) (* (+ a b) (/ 2 PI))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 277 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (* (/ 2 PI) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (+ a b) (* (/ 2 PI) (- b a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 278 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 279 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 280 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 281 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 282 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 283 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 284 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 285 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 286 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 287 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 288 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (* 2 (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 289 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 290 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ (- (/ 1 a) (/ 1 b)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 291 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (/ 1 (- b a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (- b a)) * [exit]simplify: Simplified to (* (* (+ a b) (/ 2 PI)) (- b a)) * * * * [misc]progress: [ 292 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (446 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (/ 2 PI)) (fma (+ a b) b (* a a))) * [exit]simplify: Simplified to (/ (* (+ a b) (/ 2 PI)) (fma (+ a b) b (* a a))) * * * * [misc]progress: [ 293 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 2 (/ PI (+ b a))) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ 2 PI) * [exit]simplify: Simplified to (/ 2 PI) * * * * [misc]progress: [ 294 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* 2 (- b a))) * * * * [misc]progress: [ 295 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 2 (/ PI (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (/ PI 2)) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (/ PI 2)) * * * * [misc]progress: [ 296 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* 2 (/ b PI)) (* 2 (/ a PI)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (+ (/ a PI) (/ b PI)))) * * * * [misc]progress: [ 297 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* 2 (/ b PI)) (* 2 (/ a PI)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (+ (/ a PI) (/ b PI)))) * * * * [misc]progress: [ 298 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (+ (* 2 (/ b PI)) (* 2 (/ a PI)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (* 2 (- b a)) (+ (/ a PI) (/ b PI)))) * * * * [misc]progress: [ 299 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 0)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 300 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 0)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 301 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ (- (/ 1 a) (/ 1 b)) (- b a)) (/ 2 0)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 302 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 1 (* b a)) (/ 2 (/ PI (+ b a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) (* a 2)) (+ b a)) * * * * [misc]progress: [ 303 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 1 (* b a)) (/ 2 (/ PI (+ b a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) (* a 2)) (+ b a)) * * * * [misc]progress: [ 304 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (/ (/ 1 (* b a)) (/ 2 (/ PI (+ b a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) (* a 2)) (+ b a)) * * * * [misc]progress: [ 305 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 0 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 306 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 0 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 307 / 307 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 0 1) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (- (/ 1 a) (/ 1 b)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [exit]simplify: Simplified to (- (/ 1 a) (/ 1 b)) * [enter]simplify: Simplifying (/ (+ b a) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) PI) * [exit]simplify: Simplified to (/ (+ a b) PI) * * * * [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 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1364 additional inputs, on iter 1 have 6636 / 8000 * * * * [misc]points: Computing exacts on every 85 of 1364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 42 of 1364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 21 of 1364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 1364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1364 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1364 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 211 additional inputs, on iter 2 have 7789 / 8000 * * * * [misc]points: Computing exacts on every 13 of 211 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 211 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 211 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 211 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 3 have 7967 / 8000 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 4 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8003 points with exact outputs