* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (x eps) (- (sin (+ x eps)) (sin x))) * [misc]none: Fresh alt indices * [misc]none: (λ (x eps) (- (sin (+ x eps)) (sin x))): 0 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227 7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 0 * [misc]none: (5.106850318067203e-223 -8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122 1.3381086996667414e-215): 0 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 0 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175 -2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282 6.028770352690154e-151): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 0 * [misc]none: 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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: (1.0233799517176219e-267 -9.329140131915071e-38): 0 * [misc]none: (5.348181441205713e-277 -5.024170449312866e+115): 0 * [misc]none: (-1.611431508373217e+195 2.6631876145177815e-299): 0 * [misc]none: (-1.3496423811442664e+228 -6.4194246582119476e+212): 0 * [misc]none: (-6.796944270882852e-34 1.4781375733319608e-242): 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: (-2.2415468254308968e-275 5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28 -6.035695609668586e-193): 0 * [misc]none: (5.540829799846932e-307 -6.2448878184443784e-195): 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: (-1.1570938550413644e-156 1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111 8.788013174305029e-230): 0 * [misc]none: (-2.708463803258993e-217 2.5557776305939374e+86): 0 * [misc]none: (-7.843719408056975e+200 -5.36699847063349e-281): 0 * [misc]none: (-5.474411714258796e-200 3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307 1.2607016124581028e+98): 0 * [misc]none: (-2.1121060804534514e-153 -3.946147066150504e-295): 0 * [misc]none: (6.351701463874224e-34 1.1127979592570306e-297): 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): 0 * [misc]none: (-1.628700320265257e-151 2.0971939106770033e-216): 0 * [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: (5.027897585816787e-27 -3.868283935462521e-278): 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: (-1.2522521950389272e-257 7.299372666988037e-80): 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: (-1.7158977874206925e-283 -1.532955510659015e-241): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (8.435011553475053e-247 -8.143702901727175e-109): 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: (8.63476246502244e-94 1.1480211985789131e-156): 0 * [misc]none: (4.954650634110254e+246 -4.9266537053540385e-269): 0 * [misc]none: (4.091190676322657e-21 -4.404055326509536e-182): 0 * [misc]none: (-1.5576281112600038e-142 -3.785849338481499e+20): 0 * [misc]none: Picked alt (λ (x eps) (- (sin (+ x eps)) (sin x))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in eps * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sin (+ x eps)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]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 (+ (* (sin eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (cos eps) -1) into (- (cos eps) 1) * [misc]taylor: Taking taylor expansion of (- (cos eps) 1) in eps * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (- 1/6)) into 1/6 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (cos eps))) 1/6) into (- 1/6 (* 1/6 (cos eps))) * [misc]taylor: Taking taylor expansion of (- 1/6 (* 1/6 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* 1/6 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify (+ 1/6 -1/6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow eps 2) x)) (+ (* -1/2 (* eps (pow x 2))) (* 1 (* eps 1)))) into (- eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 x) (/ 1 eps))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (sin (/ 1 x))) into (- (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (sin (+ (/ 1 eps) (/ 1 x))) (- (sin (/ 1 x)))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) into (- (sin (+ (/ 1 eps) (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 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 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 eps * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 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 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) (sin (/ 1 (/ 1 x)))) into (- (sin (+ eps x)) (sin x)) * [misc]approximate: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) in eps * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ -1 x) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -1 x) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (sin (/ -1 x))) into (- (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (sin (- (+ (/ 1 eps) (/ 1 x)))) (- (sin (/ -1 x)))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) into (- (sin (- (+ (/ 1 eps) (/ 1 x)))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 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 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 eps * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 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 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) (sin (/ -1 (/ 1 (- x))))) into (- (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sin (+ x eps)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in eps * [misc]taylor: Taking taylor expansion of (+ x eps) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ x 0) into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]taylor: Taking taylor expansion of (sin (+ x eps)) in x * [misc]taylor: Taking taylor expansion of (+ x eps) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (sin eps) into (sin eps) * [misc]backup-simplify: Simplify (cos eps) into (cos eps) * [misc]backup-simplify: Simplify (* (sin eps) 1) into (sin eps) * [misc]backup-simplify: Simplify (* (cos eps) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin eps) 0) into (sin eps) * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]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 (+ (* (sin eps) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (cos eps) 1) (* 0 0)) into (cos eps) * [misc]backup-simplify: Simplify (+ 0 (cos eps)) into (cos eps) * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (sin eps) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (sin eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos eps) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (sin eps))) 0) into (- (* 1/2 (sin eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (sin eps)) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin eps) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* (cos eps) (- 1/6)) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into (- (* 1/6 (cos eps))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/6 (cos eps)))) into (- (* 1/6 (cos eps))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (cos eps))) in eps * [misc]taylor: Taking taylor expansion of (* 1/6 (cos eps)) in eps * [misc]taylor: Taking taylor expansion of 1/6 in eps * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (cos eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 1) into 1/6 * [misc]backup-simplify: Simplify (- 1/6) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow (* 1 x) 3)) (+ (* 1 (* eps 1)) (* 1 (* 1 x)))) into (- (+ eps x) (* 1/6 (pow x 3))) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 x) (/ 1 eps))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ 1 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 x) (/ 1 eps))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 eps) (/ 1 x))) into (sin (+ (/ 1 eps) (/ 1 x))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (/ 1 eps)) (/ 1 (/ 1 x)))) into (sin (+ eps x)) * [misc]approximate: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (/ 1 (- eps))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sin (+ (/ 1 (- x)) (/ 1 (- eps)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sin (- (+ (/ 1 eps) (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 eps) (/ 1 x)))) into (sin (- (+ (/ 1 eps) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 (/ 1 (- eps))) (/ 1 (/ 1 (- x)))))) into (sin (+ eps x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [enter]simplify: Simplifying (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (- (* (sqrt (sin x)) (sqrt (sin x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [enter]simplify: Simplifying (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) (cbrt (sin (+ x eps))) (- (* (sin x) 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [enter]simplify: Simplifying (fma (- (sin x)) 1 (* (sin x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (sin x) (sin x)) * [exit]simplify: Simplified to (- (sin x) (sin x)) * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [enter]simplify: Simplifying (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (* (sqrt (sin x)) (sqrt (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [enter]simplify: Simplifying (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (sin (+ x eps))) (sqrt (sin (+ x eps))) (- (* (sin x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [enter]simplify: Simplifying (fma (- (sin x)) 1 (* (sin x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (sin x) (sin x)) * [exit]simplify: Simplified to (- (sin x) (sin x)) * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (sin (+ x eps)) (- (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [enter]simplify: Simplifying (fma (- (cbrt (sin x))) (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (sin (+ x eps)) (- (* (sqrt (sin x)) (sqrt (sin x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [enter]simplify: Simplifying (fma (- (sqrt (sin x))) (sqrt (sin x)) (* (sqrt (sin x)) (sqrt (sin x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (sin (+ x eps)) (- (* (sin x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * [enter]simplify: Simplifying (fma (- (sin x)) 1 (* (sin x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (sin x) (sin x)) * [exit]simplify: Simplified to (- (sin x) (sin x)) * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (expm1 (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (log1p (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (- (+ x eps) x) 2)) (cos (/ (+ (+ x eps) x) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sin (+ x eps))) (exp (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (log (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (exp (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (sin (+ x eps)) (sin x))) (cbrt (- (sin (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sin (+ eps x)) (sin x))) (cbrt (- (sin (+ eps x)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (- (sin (+ eps x)) (sin x))) (cbrt (- (sin (+ eps x)) (sin x)))) * [enter]simplify: Simplifying (cbrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (cbrt (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (sin (+ x eps)) (sin x)) (- (sin (+ x eps)) (sin x))) (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (pow (- (sin (+ eps x)) (sin x)) 3) * [exit]simplify: Simplified to (pow (- (sin (+ eps x)) (sin x)) 3) * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [enter]simplify: Simplifying (sqrt (- (sin (+ x eps)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * [exit]simplify: Simplified to (sqrt (- (sin (+ eps x)) (sin x))) * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sin (+ x eps)) 3) (pow (sin x) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (fma (* (sin (+ eps x)) (sin (+ eps x))) (sin (+ eps x)) (* (* (sin x) (sin x)) (- (sin x)))) * [exit]simplify: Simplified to (fma (* (sin (+ eps x)) (sin (+ eps x))) (sin (+ eps x)) (* (* (sin x) (sin x)) (- (sin x)))) * [enter]simplify: Simplifying (+ (* (sin (+ x eps)) (sin (+ x eps))) (+ (* (sin x) (sin x)) (* (sin (+ x eps)) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (fma (sin x) (+ (sin x) (sin (+ eps x))) (* (sin (+ eps x)) (sin (+ eps x)))) * [exit]simplify: Simplified to (fma (sin x) (+ (sin x) (sin (+ eps x))) (* (sin (+ eps x)) (sin (+ eps x)))) * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin (+ x eps)) (sin (+ x eps))) (* (sin x) (sin x))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (- (* (sin (+ eps x)) (sin (+ eps x))) (* (sin x) (sin x))) * [exit]simplify: Simplified to (- (* (sin (+ eps x)) (sin (+ eps x))) (* (sin x) (sin x))) * [enter]simplify: Simplifying (+ (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (+ (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (+ (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (sin (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * [exit]simplify: Simplified to (+ (sqrt (sin (+ eps x))) (sqrt (sin x))) * [enter]simplify: Simplifying (- (sqrt (sin (+ x eps))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * [exit]simplify: Simplified to (- (sqrt (sin (+ eps x))) (sqrt (sin x))) * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ x eps)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * [exit]simplify: Simplified to (- (sin (+ eps x)) (sin x)) * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos x) (sin eps)) (sin x)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * [exit]simplify: Simplified to (- (* (sin eps) (cos x)) (sin x)) * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (sin (+ eps x))) * [exit]simplify: Simplified to (expm1 (sin (+ eps x))) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (sin (+ eps x))) * [exit]simplify: Simplified to (log1p (sin (+ eps x))) * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (cos eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [exit]simplify: Simplified to (* (cos eps) (sin x)) * [enter]simplify: Simplifying (* (cos x) (sin eps)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * [exit]simplify: Simplified to (* (sin eps) (cos x)) * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sin (+ eps x))) * [exit]simplify: Simplified to (log (sin (+ eps x))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sin (+ eps x))) * [exit]simplify: Simplified to (exp (sin (+ eps x))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (+ x eps))) (cbrt (sin (+ x eps)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (+ eps x))) (cbrt (sin (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (sin (+ eps x))) (cbrt (sin (+ eps x)))) * [enter]simplify: Simplifying (cbrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sin (+ eps x))) * [exit]simplify: Simplified to (cbrt (sin (+ eps x))) * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin (+ x eps)) (sin (+ x eps))) (sin (+ x eps))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (sin (+ eps x)) 3) * [exit]simplify: Simplified to (pow (sin (+ eps x)) 3) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [enter]simplify: Simplifying (sqrt (sin (+ x eps))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * [exit]simplify: Simplified to (sqrt (sin (+ eps x))) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (* (pow eps 2) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (fma (* 1/2 (- x)) (* eps (+ eps x)) eps) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ eps x) (* 1/6 (pow x 3))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (- (+ x eps) (fma (* x x) (* 1/6 x) (sin x))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (+ eps x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (- (sin (+ x eps)) (sin x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 3 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) * [misc]none: Fresh alt: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * [misc]none: Fresh alt indices * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 0 * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 1 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))): 2 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227 7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 2 * [misc]none: (5.106850318067203e-223 -8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122 1.3381086996667414e-215): 2 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 1 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175 -2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282 6.028770352690154e-151): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75 -1.2086624476009651e-200): 2 * [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: (2.973444851318118e-169 1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86 4.922686678959719e-213): 2 * [misc]none: (9.601043864442096e+176 5.752669291865014e-257): 2 * [misc]none: (3.0310347416413137e-258 -1.1043473204259838e-123): 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): 0 * [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: (-4.521345173807944e-274 2.4757193927168845e-307): 2 * [misc]none: (-3.9546390943242443e-82 1.457018723838865e-35): 0 * [misc]none: (-1.5246504675906286e-147 -1.1042460154015769e-187): 2 * [misc]none: (-3.30379604621756e-180 -8.185062082112633e+221): 0 * [misc]none: (9.424239481611678e-294 1.5096638452158614e-71): 0 * [misc]none: (-1.830572871972773e-27 -1.714392276509888e-289): 2 * [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): 2 * [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): 2 * [misc]none: (1.7739584018359304e-207 -2.723194185823719e-255): 2 * [misc]none: (6.866799226360426e-109 6.417434319517234e+231): 0 * [misc]none: (-1.105123941463264e-44 -1.5442050061781137e-296): 2 * [misc]none: (-2.5125878605191734e-29 4.508352673437809e+248): 0 * [misc]none: (-1.4801509312754967e-61 -5.163900824605852e+32): 0 * [misc]none: (1.430295312965348e-149 3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148 -5.232709143225968e-98): 0 * [misc]none: (-2.6904647286120434e+306 -2.4014893155423993e+35): 0 * [misc]none: (1.4966275592591335e-123 6.384545099874781e-168): 2 * [misc]none: (-1.9863653303691194e-296 -1.5110806788081036e+47): 0 * [misc]none: (4.232269734875141e-205 4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277 -4.725142043601307e-47): 2 * [misc]none: (2.68866513359689e-174 8.96636707501737e-13): 0 * [misc]none: (-2.3580830331388543e-23 1.6082525618587168e-259): 2 * [misc]none: (2.7230496615379425e-188 7.15832835948139e-179): 0 * [misc]none: (-3.386296042382532e-190 2.991170371343952e+151): 0 * [misc]none: (-7.407998779781806e-33 -7.014935371531484e-98): 2 * [misc]none: (-2.580522918977788e+184 8.990843056511833e-32): 2 * [misc]none: (3.9088008390110404e+59 6.754325943853309e-283): 2 * [misc]none: (-1.0323836290065946e-292 -1.1379474227414984e+157): 0 * [misc]none: (-4.747329706134133e-300 -2.266131068741548e-232): 0 * [misc]none: (6.354961149716869e-97 2.8293820765322485e-296): 2 * [misc]none: (5.3887495676776976e+171 -503507.16469484643): 0 * [misc]none: (-1.9250288775511552e-19 9.871143682146977e-239): 2 * [misc]none: (-1.9809585244792104e-221 -5.324127388080003e+141): 0 * [misc]none: (5.123849747663666e+133 4.007761912625816e-148): 2 * [misc]none: (3.321054281872602e+251 -7.33347091133757e-103): 2 * [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: (-2.9971297913067123e-296 1.120554825473697e-298): 2 * [misc]none: (7.175557259725409e-49 4.4800031186106794e-70): 2 * [misc]none: (-1.3609788364339258e+82 2.5265807746711182e-73): 2 * [misc]none: (1.4440898226736705e-53 -4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279 2.3912903471184356e-134): 2 * [misc]none: (3.53511184703484e+158 -2.8955398952451435e+131): 0 * [misc]none: 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(1.7531612809893653e+136 8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266 9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06 -3.752236763580095e-230): 2 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (3.9135950474809954e+67 -2.028037433935809e-224): 2 * [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): 2 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 2 * [misc]none: (-1.7158977874206925e-283 -1.532955510659015e-241): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (8.435011553475053e-247 -8.143702901727175e-109): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 2 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 2 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: (8.63476246502244e-94 1.1480211985789131e-156): 2 * [misc]none: (4.954650634110254e+246 -4.9266537053540385e-269): 2 * [misc]none: (4.091190676322657e-21 -4.404055326509536e-182): 2 * [misc]none: (-1.5576281112600038e-142 -3.785849338481499e+20): 0 * [misc]none: Picked alt (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (sin x)))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (cos x)))) (+ (* 1/2 (- (* 1/2 (sin x)))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1/2 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 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (- (* 1/8 (cos x)))) (+ (* 0 (- (* 1/2 (sin x)))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (+ x (+ eps x)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]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 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (* eps 1)) (* 2 (* 1 x))) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 2 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 eps) 0) into (/ 1 eps) * [misc]backup-simplify: Simplify (+ 0 (/ 1 eps)) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)))) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 eps) (/ 0 eps)) (* 0 (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 eps)) 1))) into (+ eps (* 2 x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -2 * [misc]taylor: Taking taylor expansion of -2 in eps * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 eps) 0) into (- (/ 1 eps)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 eps))) into (- (/ 1 eps)) * [misc]taylor: Taking taylor expansion of (- (/ 1 eps)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))))) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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) 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 (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) 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 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (- 0) into 0 * [misc]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 (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 eps) (/ 0 (- eps))) (* 0 (/ 0 (- eps))) (* 0 (/ 0 (- eps))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- eps))) 1))) into (+ eps (* 2 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (expm1 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (expm1 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log1p (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log1p (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sin (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (sin (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (sin (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (sin (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (+ (sin (- (/ eps 2) (/ (+ x (+ eps x)) 2))) (sin (+ (/ eps 2) (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ x (+ x eps)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ x (+ x eps)) 2))) * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (cos (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ (+ x x) eps) 2))) (cbrt (cos (/ (+ (+ x x) eps) 2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (sqrt (cos (/ (+ (+ x x) eps) 2))) (sin (/ eps 2))) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ eps (+ x x)) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (+ x (+ eps x))) * [exit]simplify: Simplified to (expm1 (+ x (+ eps x))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (+ x (+ eps x))) * [exit]simplify: Simplified to (log1p (+ x (+ eps x))) * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * [exit]simplify: Simplified to (log (+ x (+ eps x))) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * [exit]simplify: Simplified to (exp (+ x (+ eps x))) * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [exit]simplify: Simplified to (* (cbrt (+ x (+ eps x))) (cbrt (+ x (+ eps x)))) * [enter]simplify: Simplifying (cbrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * [exit]simplify: Simplified to (cbrt (+ x (+ eps x))) * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ x (+ eps x)) (+ x (+ eps x))) (+ x (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * [exit]simplify: Simplified to (pow (+ x (+ eps x)) 3) * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [enter]simplify: Simplifying (sqrt (+ x (+ eps x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * [exit]simplify: Simplified to (sqrt (+ x (+ eps x))) * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (+ eps x) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to (fma x (* x x) (pow (+ x eps) 3)) * [exit]simplify: Simplified to (fma x (* x x) (pow (+ x eps) 3)) * [enter]simplify: Simplifying (+ (* x x) (- (* (+ eps x) (+ eps x)) (* x (+ eps x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (fma (+ x eps) x (* eps eps)) * [exit]simplify: Simplified to (fma (+ x eps) x (* eps eps)) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (+ eps x) (+ eps x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (* (+ (+ x x) eps) (- eps)) * [exit]simplify: Simplified to (* (+ (+ x x) eps) (- eps)) * [enter]simplify: Simplifying (- x (+ eps x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (- eps) * [exit]simplify: Simplified to (- eps) * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x eps) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ eps x) * [exit]simplify: Simplified to (+ eps x) * * * * [misc]progress: [ 42 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (- 1 (* (+ x eps) (* x 1/2))) (* 2 (sin (/ eps 2)))) * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [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 (53 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [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 (53 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (- (* (* eps 1/2) 2) (* (* 2 (* eps eps)) (fma 1/4 x (* eps 1/12)))) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (fma x 2 eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (fma x 2 eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ (fma x 2 eps) 2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ (fma x 2 eps) 2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (/ (+ eps (* 2 x)) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (* (cos (/ (fma x 2 eps) 2)) (* (sin (/ eps 2)) 2)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 7 * [misc]none: All alts: 8 * [misc]none: Fresh alt: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))) * [misc]none: Fresh alt: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) * [misc]none: Non-fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt indices * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 0 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))): 1 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2))))))): 2 * [misc]none: (λ (x eps) (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))): 3 * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 4 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))))): 5 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))))): 6 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227 7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 1 * [misc]none: (5.106850318067203e-223 -8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122 1.3381086996667414e-215): 1 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 4 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175 -2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282 6.028770352690154e-151): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75 -1.2086624476009651e-200): 5 * [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: (2.973444851318118e-169 1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86 4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176 5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258 -1.1043473204259838e-123): 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): 0 * [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: (-4.521345173807944e-274 2.4757193927168845e-307): 1 * [misc]none: (-3.9546390943242443e-82 1.457018723838865e-35): 0 * [misc]none: (-1.5246504675906286e-147 -1.1042460154015769e-187): 1 * [misc]none: (-3.30379604621756e-180 -8.185062082112633e+221): 0 * [misc]none: (9.424239481611678e-294 1.5096638452158614e-71): 0 * [misc]none: (-1.830572871972773e-27 -1.714392276509888e-289): 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): 1 * [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): 1 * [misc]none: (1.7739584018359304e-207 -2.723194185823719e-255): 1 * [misc]none: (6.866799226360426e-109 6.417434319517234e+231): 0 * [misc]none: (-1.105123941463264e-44 -1.5442050061781137e-296): 1 * [misc]none: (-2.5125878605191734e-29 4.508352673437809e+248): 0 * [misc]none: (-1.4801509312754967e-61 -5.163900824605852e+32): 0 * [misc]none: (1.430295312965348e-149 3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148 -5.232709143225968e-98): 0 * [misc]none: (-2.6904647286120434e+306 -2.4014893155423993e+35): 0 * [misc]none: (1.4966275592591335e-123 6.384545099874781e-168): 1 * [misc]none: (-1.9863653303691194e-296 -1.5110806788081036e+47): 0 * [misc]none: (4.232269734875141e-205 4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277 -4.725142043601307e-47): 1 * [misc]none: (2.68866513359689e-174 8.96636707501737e-13): 0 * [misc]none: (-2.3580830331388543e-23 1.6082525618587168e-259): 1 * [misc]none: (2.7230496615379425e-188 7.15832835948139e-179): 0 * [misc]none: (-3.386296042382532e-190 2.991170371343952e+151): 0 * [misc]none: (-7.407998779781806e-33 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4.4800031186106794e-70): 1 * [misc]none: (-1.3609788364339258e+82 2.5265807746711182e-73): 2 * [misc]none: (1.4440898226736705e-53 -4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279 2.3912903471184356e-134): 3 * [misc]none: (3.53511184703484e+158 -2.8955398952451435e+131): 0 * [misc]none: (1.5780761566396397e+125 1.534059348183312e-189): 3 * [misc]none: (2.8419420301747055e+90 -2.318158899615234e+28): 0 * [misc]none: (8.976998414840432e+184 3.9122094377392414e+59): 0 * [misc]none: (-6.588522440277298e+124 -8.890171102288788e+241): 0 * [misc]none: (-4.517606044160453e-29 -2.0229301807644786e+90): 0 * [misc]none: (4.588817619865515e-83 6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96 -2.0525626505030474e-205): 1 * [misc]none: (1.43328810513268e+174 -3.517237475307537e+70): 0 * [misc]none: (1.6570172448601563e-137 2.4048926517811354e+66): 0 * [misc]none: (-1.2386076426807104e+281 4.0623211606609595e-228): 5 * [misc]none: (1.5982222044177176e+181 8.398043771606399e+47): 0 * [misc]none: (-6.552213310391902e+218 -2.461870212435176e+181): 0 * [misc]none: (-9.04145577094214e-51 6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169 1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125 -8.87002524437924e-05): 0 * [misc]none: (-9.534297923953677e-238 8.932193317773552e+156): 0 * [misc]none: (-4.82948997845691e+115 -2.844669102107347e+110): 0 * [misc]none: (6.614130481633629e+300 -6.631482835790804e+75): 0 * [misc]none: (-2.927893218629978e+198 -5.425958198218161e-146): 1 * [misc]none: (-5.212281525360505e+119 1.3240207557849338e+291): 0 * [misc]none: (-6.155236203506664e+276 3.2574885636926814e-211): 1 * [misc]none: (-9.779940061204298e+60 1.3680169753287455e-53): 1 * [misc]none: (-1.5172504298350683e-122 2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226 4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129 -6.206729553564092e+301): 0 * [misc]none: (1.7927880379985524e+252 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2.722605535602291e+155): 0 * [misc]none: (-4.714069429956778e+287 2.9453252035345084e+174): 0 * [misc]none: (-5.843713571039491e+54 1.0160216232612932e-143): 5 * [misc]none: (-2.425692316345541e+35 -2.0645141541195737e-123): 5 * [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: (-1.1570938550413644e-156 1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111 8.788013174305029e-230): 1 * [misc]none: (-2.708463803258993e-217 2.5557776305939374e+86): 0 * [misc]none: (-7.843719408056975e+200 -5.36699847063349e-281): 1 * [misc]none: (-5.474411714258796e-200 3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307 1.2607016124581028e+98): 0 * [misc]none: (-2.1121060804534514e-153 -3.946147066150504e-295): 1 * [misc]none: (6.351701463874224e-34 1.1127979592570306e-297): 1 * [misc]none: (-1.1510973857640039e-232 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8.844853331262414e+38): 0 * [misc]none: (1.178943808525994e-266 9.178781884958768e+207): 0 * [misc]none: (1.0483964125162862e-06 -3.752236763580095e-230): 1 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (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): 3 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 1 * [misc]none: (-1.7158977874206925e-283 -1.532955510659015e-241): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (8.435011553475053e-247 -8.143702901727175e-109): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 2 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 1 * [misc]none: (6.667510734837939e+231 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x (+ eps x)) 2))))))): 6 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))))): 7 * [misc]none: Best alt per point * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227 7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 1 * [misc]none: (5.106850318067203e-223 -8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122 1.3381086996667414e-215): 1 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 4 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175 -2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282 6.028770352690154e-151): 0 * [misc]none: (-425.15997261130053 -1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75 -1.2086624476009651e-200): 5 * [misc]none: (2.3623052767393814e+153 4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222 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-26830062846468156.0): 0 * [misc]none: (4.637177905335891e-10 -12679727921.874447): 0 * [misc]none: (8.652041834233969e-101 -3.577245999178336e-189): 1 * [misc]none: (3.209451012414084e+270 3.7907433031673317e-256): 1 * [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): 0 * [misc]none: (2.3604863517900675e+30 6.476730028728146e-228): 6 * [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): 1 * [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): 3 * [misc]none: (-4.169290160322216e+246 1.030614327019319e-115): 1 * [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): 0 * [misc]none: (-2.9998533512328024e-144 -1.4147186694962813e-176): 1 * [misc]none: (1.186346974675696e+155 -1.2827160692503531e+104): 0 * [misc]none: (6.283729883572828e+84 3.6636765762957594e-187): 1 * [misc]none: (1.7036347403091437e+117 9.645064592867311e+67): 0 * [misc]none: (-5.1224941914889595e+118 1.3872947227834175e-251): 1 * [misc]none: (7.12145855246931e-10 -4.3661371414490136e+281): 0 * [misc]none: (-1.4301261995935981e+54 2.693461062117409e-112): 3 * [misc]none: (1.6465279540530418e+78 2.43524332605807e-278): 1 * [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): 1 * [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): 1 * [misc]none: (-2.1360290498375943e+32 4.642568065399805e-260): 3 * [misc]none: (-4.493058001076021e-21 -2.6740094065663153e+105): 0 * [misc]none: (3.8347842435652736e+125 -9.848724265902522e+103): 0 * [misc]none: (7.178809205583962e-175 -3.8059392134174312e-280): 1 * [misc]none: (-3.954815085266754e+305 1.4235559851356953e-239): 3 * [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): 5 * [misc]none: (1.0953112641111952e+229 3.2587696828142436e+75): 0 * [misc]none: (-1.5310860302360472e-220 3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267 -9.329140131915071e-38): 0 * [misc]none: (5.348181441205713e-277 -5.024170449312866e+115): 0 * [misc]none: (-1.611431508373217e+195 2.6631876145177815e-299): 5 * [misc]none: (-1.3496423811442664e+228 -6.4194246582119476e+212): 0 * [misc]none: (-6.796944270882852e-34 1.4781375733319608e-242): 1 * [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): 1 * [misc]none: (-2.2415468254308968e-275 5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28 -6.035695609668586e-193): 1 * [misc]none: (5.540829799846932e-307 -6.2448878184443784e-195): 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): 5 * [misc]none: (-2.425692316345541e+35 -2.0645141541195737e-123): 5 * [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: (-1.1570938550413644e-156 1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111 8.788013174305029e-230): 1 * [misc]none: (-2.708463803258993e-217 2.5557776305939374e+86): 0 * [misc]none: (-7.843719408056975e+200 -5.36699847063349e-281): 1 * [misc]none: (-5.474411714258796e-200 3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307 1.2607016124581028e+98): 0 * [misc]none: (-2.1121060804534514e-153 -3.946147066150504e-295): 1 * [misc]none: (6.351701463874224e-34 1.1127979592570306e-297): 1 * [misc]none: (-1.1510973857640039e-232 -1.6396360397102689e+220): 0 * [misc]none: (-4.631295923206326e+93 -3.257471673811612e-50): 1 * [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): 4 * [misc]none: (-2.421523337020965e+257 4.172324580820008e-133): 1 * [misc]none: (1.6563474243613627e-33 -1.7776992082231396e+54): 0 * [misc]none: (-1.628700320265257e-151 2.0971939106770033e-216): 1 * [misc]none: (-1.434814592155953e+91 1.504878381563487e-123): 5 * [misc]none: (-3.141023895275641e+245 -3.001476290410935e-269): 1 * [misc]none: (8.06210226572923e-308 1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100 -4.31661667731193e-265): 1 * [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): 1 * [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: (5.027897585816787e-27 -3.868283935462521e-278): 1 * [misc]none: (0.3310558223342685 -7.980090992758681e-50): 1 * [misc]none: (-1.0048785011627561e-129 8.127248813391785e+226): 0 * [misc]none: (-1.483643755550628e-284 -2.8769042098391767e+238): 0 * [misc]none: (-1.2522521950389272e-257 7.299372666988037e-80): 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): 1 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (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): 3 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 1 * [misc]none: (-1.7158977874206925e-283 -1.532955510659015e-241): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (8.435011553475053e-247 -8.143702901727175e-109): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 2 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 1 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: (8.63476246502244e-94 1.1480211985789131e-156): 1 * [misc]none: (4.954650634110254e+246 -4.9266537053540385e-269): 2 * [misc]none: (4.091190676322657e-21 -4.404055326509536e-182): 1 * [misc]none: (-1.5576281112600038e-142 -3.785849338481499e+20): 0 * [misc]none: Picked alt (λ (x eps) (* 2 (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (+ 1 (cos x)) into (+ 1 (cos x)) * [misc]backup-simplify: Simplify (log (+ 1 (cos x))) into (log (+ 1 (cos x))) * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 eps))) into (+ 1 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 eps)))) into (log (+ 1 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 eps))) into (+ 1 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 eps)))) into (log (+ 1 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (log (+ 1 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ 1 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (sin (* 1/2 eps)))) 1)) (pow (+ 1 (cos (* 1/2 eps))) 1)))) 1) into (* -1 (/ (sin (* 1/2 eps)) (+ 1 (cos (* 1/2 eps))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (* 1/2 eps)) (+ 1 (cos (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1/2 2) into 1/4 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (cos (* 1/2 eps))))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (sin (* 1/2 eps)))) 2)) (pow (+ 1 (cos (* 1/2 eps))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (cos (* 1/2 eps))))) 1)) (pow (+ 1 (cos (* 1/2 eps))) 1)))) 2) into (* -1/2 (+ (/ (cos (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) (/ (pow (sin (* 1/2 eps)) 2) (pow (+ 1 (cos (* 1/2 eps))) 2)))) * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ (cos (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) (/ (pow (sin (* 1/2 eps)) 2) (pow (+ 1 (cos (* 1/2 eps))) 2)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ (cos (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) (/ (pow (sin (* 1/2 eps)) 2) (pow (+ 1 (cos (* 1/2 eps))) 2))) in eps * [misc]taylor: Taking taylor expansion of (/ (cos (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow (sin (* 1/2 eps)) 2) (pow (+ 1 (cos (* 1/2 eps))) 2)) in eps * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log eps) (log 1/2)) * [misc]backup-simplify: Simplify (* 2 (+ (log eps) (log 1/2))) into (* 2 (+ (log eps) (log 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log eps) (log 1/2)))) into (exp (* 2 (+ (log eps) (log 1/2)))) * [misc]taylor: Taking taylor expansion of (pow (+ 1 (cos (* 1/2 eps))) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 1 (cos (* 1/2 eps)))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 1 (cos (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (+ 1 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (+ 1 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (/ (exp (* 2 (+ (log eps) (log 1/2)))) (pow 2 2)) into (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) * [misc]backup-simplify: Simplify (+ 1/2 (* 1/4 (exp (* 2 (+ (log eps) (log 1/2)))))) into (+ (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) 1/2) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) 1/2)) into (* -1/2 (+ (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) 1/2)) * [misc]backup-simplify: Simplify (* -1/2 (+ (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) 1/2)) into (* -1/2 (+ (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) 1/2)) * [misc]backup-simplify: Simplify (* -1 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* eps x)) (+ (* (* -1/2 (+ (* 1/4 (exp (* 2 (+ (log eps) (log 1/2))))) 1/2)) (pow (* 1 x) 2)) (log 2))) into (- (log 2) (+ (* 1/4 (* eps x)) (+ (* 1/4 (pow x 2)) (* 1/8 (* (exp (* 2 (+ (log eps) (log 1/2)))) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) in eps * [misc]taylor: Taking taylor expansion of (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))))) into (log (+ 1 (cos (* 1/2 (+ eps (* 2 x)))))) * [misc]approximate: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) in eps * [misc]taylor: Taking taylor expansion of (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) in eps * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) 1)) into (log (+ 1 (cos (* 1/2 (+ eps (* 2 x)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 eps))) into (+ 1 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 eps)))) into (log (+ 1 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 eps))))) into (+ 1 (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (+ 1 (cos x)) into (+ 1 (cos x)) * [misc]backup-simplify: Simplify (log (+ 1 (cos x))) into (log (+ 1 (cos x))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos x)))) into (+ 1 (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (+ 1 (cos x)) into (+ 1 (cos x)) * [misc]backup-simplify: Simplify (log (+ 1 (cos x))) into (log (+ 1 (cos x))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos x)))) into (+ 1 (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (cos x)) -1) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (sin x)))) 1)) (pow (+ 1 (cos x)) 1)))) 1) into (* -1/2 (/ (sin x) (+ 1 (cos x)))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos x)))) (+ (* (/ (pow (* -1/2 (/ (sin x) (+ 1 (cos x)))) 1) 1)))) into (* -1/2 (sin x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (sin x)) 0) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/2 (sin x)))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/8 (cos x)))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (sin x)))) 2)) (pow (+ 1 (cos x)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (cos x)))) 1)) (pow (+ 1 (cos x)) 1)))) 2) into (* -1/2 (+ (* 1/4 (/ (pow (sin x) 2) (pow (+ 1 (cos x)) 2))) (* 1/4 (/ (cos x) (+ 1 (cos x)))))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos x)))) (+ (* (/ (pow (* -1/2 (/ (sin x) (+ 1 (cos x)))) 2) 2)) (* (/ (pow (* -1/2 (+ (* 1/4 (/ (pow (sin x) 2) (pow (+ 1 (cos x)) 2))) (* 1/4 (/ (cos x) (+ 1 (cos x)))))) 1) 1)))) into (* -1/8 (cos x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/8 (cos x)) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (- (* 1/8 (cos x)))) (+ (* 1/2 (- (* 1/2 (sin x)))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1/2 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 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (sin x)))) 3)) (pow (+ 1 (cos x)) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (sin x)))) 1) (pow (* 2 (- (* 1/8 (cos x)))) 1)) (pow (+ 1 (cos x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* 1/48 (sin x))) 1)) (pow (+ 1 (cos x)) 1)))) 6) into (* 1/6 (- (* 1/8 (/ (sin x) (+ 1 (cos x)))) (+ (* 1/4 (/ (pow (sin x) 3) (pow (+ 1 (cos x)) 3))) (* 3/8 (/ (* (sin x) (cos x)) (pow (+ 1 (cos x)) 2)))))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos x)))) (+ (* (/ (pow (* -1/2 (/ (sin x) (+ 1 (cos x)))) 3) 6)) (* (/ (pow (* -1/2 (/ (sin x) (+ 1 (cos x)))) 1) 1) (/ (pow (* -1/2 (+ (* 1/4 (/ (pow (sin x) 2) (pow (+ 1 (cos x)) 2))) (* 1/4 (/ (cos x) (+ 1 (cos x)))))) 1) 1)) (* (/ (pow (* 1/6 (- (* 1/8 (/ (sin x) (+ 1 (cos x)))) (+ (* 1/4 (/ (pow (sin x) 3) (pow (+ 1 (cos x)) 3))) (* 3/8 (/ (* (sin x) (cos x)) (pow (+ 1 (cos x)) 2)))))) 1) 1)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/48 (sin x)) 0) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (- (* 1/8 (cos x)))) (+ (* 0 (- (* 1/2 (sin x)))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) -1) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (+ 1 (cos x)) into (+ 1 (cos x)) * [misc]backup-simplify: Simplify (log (+ 1 (cos x))) into (log (+ 1 (cos x))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos x)))) into (+ 1 (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 eps))) into (+ 1 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 eps)))) into (log (+ 1 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 eps))))) into (+ 1 (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ x (+ eps x)) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 eps))) into (+ 1 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 eps)))) into (log (+ 1 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 eps))))) into (+ 1 (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (cos (* 1/2 eps))) -1) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (sin (* 1/2 eps)))) 1)) (pow (+ 1 (cos (* 1/2 eps))) 1)))) 1) into (* -1 (/ (sin (* 1/2 eps)) (+ 1 (cos (* 1/2 eps))))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 eps))))) (+ (* (/ (pow (* -1 (/ (sin (* 1/2 eps)) (+ 1 (cos (* 1/2 eps))))) 1) 1)))) into (* -1 (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (sin (* 1/2 eps))) 0) into (- (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (cos (* 1/2 eps))))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (sin (* 1/2 eps)))) 2)) (pow (+ 1 (cos (* 1/2 eps))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (cos (* 1/2 eps))))) 1)) (pow (+ 1 (cos (* 1/2 eps))) 1)))) 2) into (* -1/2 (+ (/ (cos (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) (/ (pow (sin (* 1/2 eps)) 2) (pow (+ 1 (cos (* 1/2 eps))) 2)))) * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 eps))))) (+ (* (/ (pow (* -1 (/ (sin (* 1/2 eps)) (+ 1 (cos (* 1/2 eps))))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ (cos (* 1/2 eps)) (+ 1 (cos (* 1/2 eps)))) (/ (pow (sin (* 1/2 eps)) 2) (pow (+ 1 (cos (* 1/2 eps))) 2)))) 1) 1)))) into (* -1/2 (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (cos (* 1/2 eps))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) 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 eps * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 eps * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ 1 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of (log1p (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 1 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]backup-simplify: Simplify (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) into (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) into (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) -1) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) (+ (* (/ (pow 0 1) 1)))) 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 eps * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 eps * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ eps (* 2 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ 1 (cos (/ (+ (+ x x) eps) 2))) * [exit]simplify: Simplified to (+ 1 (cos (/ (+ (+ x x) eps) 2))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cos (/ (+ x (+ eps x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ x (+ eps x)) 2)) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log1p (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (log1p (log1p (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (log (log1p (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (cos (/ (+ x (+ eps x)) 2)))) (cbrt (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (cos (/ (+ x (+ eps x)) 2)))) (cbrt (log1p (cos (/ (+ x (+ eps x)) 2))))) * [exit]simplify: Simplified to (* (cbrt (log1p (cos (/ (+ x (+ eps x)) 2)))) (cbrt (log1p (cos (/ (+ x (+ eps x)) 2))))) * [enter]simplify: Simplifying (cbrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (cbrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (cos (/ (+ x (+ eps x)) 2))) (log1p (cos (/ (+ x (+ eps x)) 2)))) (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (pow (log1p (cos (/ (+ x (+ eps x)) 2))) 3) * [exit]simplify: Simplified to (pow (log1p (cos (/ (+ x (+ eps x)) 2))) 3) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (sqrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (sqrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (sqrt (log1p (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (expm1 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (expm1 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log1p (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log1p (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 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 (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) (cbrt (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) (cbrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (exp (log1p (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) (cbrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (log1p (cos (/ (+ x (+ eps x)) 2)))) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (expm1 (log1p (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (expm1 (log1p (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (- 1 (* (+ x eps) (* x 1/2)))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (expm1 (log1p (cos (* 1/2 (+ eps (* 2 x)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (* (cos (* (fma 2 x eps) 1/2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (expm1 (log1p (cos (* 1/2 (+ eps (* 2 x)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (* (cos (* (fma 2 x eps) 1/2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (expm1 (- (log 2) (+ (* 1/4 (* eps x)) (+ (* 1/4 (pow x 2)) (* 1/8 (* (exp (* 2 (+ (log eps) (log 1/2)))) (pow x 2))))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (361 enodes) * [exit]simplify: Simplified to (* (expm1 (fma (* (- x) x) (fma 1/8 (* (* 1/2 eps) (* 1/2 eps)) 1/4) (fma (- x) (* 1/4 eps) (log 2)))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (expm1 (log (+ 1 (cos (* 1/2 (+ eps (* 2 x))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (expm1 (log (+ 1 (cos (* 1/2 (+ eps (* 2 x))))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (- (* (* eps 1/2) 2) (* (* 2 (* eps eps)) (fma 1/4 x (* eps 1/12)))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (fma x 2 eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (fma x 2 eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (- 1 (* (+ x eps) (* x 1/2))) (* 2 (sin (/ eps 2)))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [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 (53 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [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 (53 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 7 * [misc]none: All alts: 8 * [misc]none: Fresh alt: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))) * [misc]none: Fresh alt: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))) * [misc]none: Non-fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))))) * [misc]none: Fresh alt: (λ (x eps) (* 2 (* (sin (/ eps 2)) (expm1 (exp (log (log1p (cos (/ (+ x (+ eps x)) 2))))))))) * [misc]none: Fresh alt indices * [misc]none: (λ (x eps) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))): 0 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))): 1 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2))))))): 2 * [misc]none: (λ (x eps) (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))))): 3 * [misc]none: (λ (x eps) (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x)))): 4 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))))): 5 * [misc]none: (λ (x eps) (* 2 (* (sin (/ eps 2)) (expm1 (exp (log (log1p (cos (/ (+ x (+ eps x)) 2))))))))): 6 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273 2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227 7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44 -1.849105607217708e-205): 1 * [misc]none: (5.106850318067203e-223 -8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122 1.3381086996667414e-215): 1 * [misc]none: (-1.2294460237484715e+92 -9.903617261398821e+48): 4 * [misc]none: (1.0224180420716733e-52 -5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175 -2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282 6.028770352690154e-151): 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): 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: (2.973444851318118e-169 1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86 4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176 5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258 -1.1043473204259838e-123): 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: 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0 * [misc]none: (1.868517529275615e+140 -2.5024214599876482e+172): 0 * [misc]none: (1.5276944825842992e+272 2.1335024129380783e-97): 5 * [misc]none: (1.0953112641111952e+229 3.2587696828142436e+75): 0 * [misc]none: (-1.5310860302360472e-220 3.7735141958833343e+170): 0 * [misc]none: (1.0233799517176219e-267 -9.329140131915071e-38): 0 * [misc]none: (5.348181441205713e-277 -5.024170449312866e+115): 0 * [misc]none: (-1.611431508373217e+195 2.6631876145177815e-299): 5 * [misc]none: (-1.3496423811442664e+228 -6.4194246582119476e+212): 0 * [misc]none: (-6.796944270882852e-34 1.4781375733319608e-242): 1 * [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): 1 * [misc]none: (-2.2415468254308968e-275 5.41731325733976e-115): 0 * [misc]none: (1.0395093493101161e-28 -6.035695609668586e-193): 1 * [misc]none: (5.540829799846932e-307 -6.2448878184443784e-195): 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): 5 * [misc]none: (-2.425692316345541e+35 -2.0645141541195737e-123): 5 * [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: (-1.1570938550413644e-156 1.7005338626981419e-143): 0 * [misc]none: (7.808994559121766e-111 8.788013174305029e-230): 1 * [misc]none: (-2.708463803258993e-217 2.5557776305939374e+86): 0 * [misc]none: (-7.843719408056975e+200 -5.36699847063349e-281): 1 * [misc]none: (-5.474411714258796e-200 3.2454192740264175e-113): 0 * [misc]none: (4.896551008070313e-307 1.2607016124581028e+98): 0 * [misc]none: (-2.1121060804534514e-153 -3.946147066150504e-295): 1 * [misc]none: (6.351701463874224e-34 1.1127979592570306e-297): 1 * [misc]none: (-1.1510973857640039e-232 -1.6396360397102689e+220): 0 * [misc]none: (-4.631295923206326e+93 -3.257471673811612e-50): 1 * [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): 4 * [misc]none: (-2.421523337020965e+257 4.172324580820008e-133): 1 * [misc]none: (1.6563474243613627e-33 -1.7776992082231396e+54): 0 * [misc]none: (-1.628700320265257e-151 2.0971939106770033e-216): 1 * [misc]none: (-1.434814592155953e+91 1.504878381563487e-123): 5 * [misc]none: (-3.141023895275641e+245 -3.001476290410935e-269): 1 * [misc]none: (8.06210226572923e-308 1.3704592194822044e+306): 0 * [misc]none: (1.5354587375460247e+100 -4.31661667731193e-265): 1 * [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): 1 * [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: (5.027897585816787e-27 -3.868283935462521e-278): 1 * [misc]none: (0.3310558223342685 -7.980090992758681e-50): 1 * [misc]none: (-1.0048785011627561e-129 8.127248813391785e+226): 0 * [misc]none: (-1.483643755550628e-284 -2.8769042098391767e+238): 0 * [misc]none: (-1.2522521950389272e-257 7.299372666988037e-80): 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): 1 * [misc]none: (8.105463665693362e-194 -2.7685933486986245e+247): 0 * [misc]none: (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): 3 * [misc]none: (-2.5573519175490938e+242 -7.753367484782891e-85): 7 * [misc]none: (-1.7158977874206925e-283 -1.532955510659015e-241): 0 * [misc]none: (3.0568938748675284e-154 2.0291756699515804e-73): 0 * [misc]none: (8.435011553475053e-247 -8.143702901727175e-109): 0 * [misc]none: (1.2307420681126962e+74 2.4920454965720488e-241): 2 * [misc]none: (-1.1022915791865336e+23 -4.4511831232730076e-54): 1 * [misc]none: (6.667510734837939e+231 -5.374019621331118e+178): 0 * [misc]none: (8.63476246502244e-94 1.1480211985789131e-156): 1 * [misc]none: (4.954650634110254e+246 -4.9266537053540385e-269): 2 * [misc]none: (4.091190676322657e-21 -4.404055326509536e-182): 1 * [misc]none: (-1.5576281112600038e-142 -3.785849338481499e+20): 0 * [misc]none: Picked alt (λ (x eps) (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (- (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [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 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ eps (* 2 x)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (exp (cos x)) into (exp (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 eps))) -1) into (- (exp (cos (* 1/2 eps))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (cos (* 1/2 eps))) 1) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ E -1) into (- E 1) * [misc]backup-simplify: Simplify (- E 1) into (- E 1) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 eps))) (+ (* (/ (pow (- (sin (* 1/2 eps))) 1) 1)))) into (* -1 (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) 0) into (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) * [misc]taylor: Taking taylor expansion of (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* E 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 (* (exp 1) (+ (* (/ (pow 0 1) 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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 eps))) (+ (* (/ (pow (- (sin (* 1/2 eps))) 2) 2)) (* (/ (pow (- (* 1/2 (cos (* 1/2 eps)))) 1) 1)))) into (* (- (* 1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/2 (cos (* 1/2 eps)))) (exp (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/2 (cos (* 1/2 eps)))) (exp (cos (* 1/2 eps)))) 0) into (- (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of (pow (sin (* 1/2 eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (sin (* 1/2 eps))))) in eps * [misc]taylor: Taking taylor expansion of (* 2 (log (sin (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log eps)) (log 1/2)) into (+ (log eps) (log 1/2)) * [misc]backup-simplify: Simplify (* 2 (+ (log eps) (log 1/2))) into (* 2 (+ (log eps) (log 1/2))) * [misc]backup-simplify: Simplify (exp (* 2 (+ (log eps) (log 1/2)))) into (exp (* 2 (+ (log eps) (log 1/2)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (exp 1) into E * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* E (exp (* 2 (+ (log eps) (log 1/2))))) into (* (exp (* 2 (+ (log eps) (log 1/2)))) E) * [misc]backup-simplify: Simplify (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) into (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) * [misc]backup-simplify: Simplify (* E 1) into E * [misc]backup-simplify: Simplify (* 1/2 E) into (* 1/2 E) * [misc]backup-simplify: Simplify (- (* 1/2 E)) into (- (* 1/2 E)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) (- (* 1/2 E))) into (- (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) (* 1/2 E)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) (* 1/2 E)) into (- (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) (* 1/2 E)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* E 1/2) (* 0 0)) into (* 1/2 E) * [misc]backup-simplify: Simplify (- (* 1/2 E)) into (- (* 1/2 E)) * [misc]backup-simplify: Simplify (- (* 1/2 E)) into (- (* 1/2 E)) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 E)) (* eps x)) (+ (* (- (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) E)) (* 1/2 E)) (pow (* 1 x) 2)) (- E 1))) into (- (+ (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) (* (pow x 2) E))) E) (+ (* 1/2 (* eps (* x E))) (+ 1 (* 1/2 (* (pow x 2) E))))) * [misc]approximate: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 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 (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 eps * [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 (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x))))))) 1) into (- (exp (cos (* 1/2 (+ eps (* 2 x))))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]taylor: Taking taylor expansion of (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) in eps * [misc]taylor: Taking taylor expansion of (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) in eps * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 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 (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 eps * [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 (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x)))))))) 1) into (- (exp (cos (* 1/2 (+ eps (* 2 x))))) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (exp (cos x)) into (exp (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos x)) -1) into (- (exp (cos x)) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos x)) 1)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos x) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 eps))) -1) into (- (exp (cos (* 1/2 eps))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 eps))) 1)) into (exp (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 eps))) -1) into (- (exp (cos (* 1/2 eps))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 eps))) 1)) into (exp (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- (/ 2 2) (+ (* (* 1/2 eps) (/ 0 2)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 1) (* 0 0)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (- (sin (* 1/2 eps))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (+ 0 (- (sin (* 1/2 eps)))) into (- (sin (* 1/2 eps))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 eps))) (+ (* (/ (pow (- (sin (* 1/2 eps))) 1) 1)))) into (* -1 (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) 0) into (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps))))) into (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps))))) 1)) (pow (exp (cos (* 1/2 eps))) 1)))) 1) into (* -1 (sin (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* -1 (sin (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of -1 in eps * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sin (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* -1 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 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 eps)) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 eps) (/ 0 2)) (* 1 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 eps)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos (* 1/2 eps)))) 0) into (- (* 1/2 (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 eps))) (+ (* (/ (pow (- (sin (* 1/2 eps))) 2) 2)) (* (/ (pow (- (* 1/2 (cos (* 1/2 eps)))) 1) 1)))) into (* (- (* 1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/2 (cos (* 1/2 eps)))) (exp (cos (* 1/2 eps)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (pow (sin (* 1/2 eps)) 2)) (* 1/2 (cos (* 1/2 eps)))) (exp (cos (* 1/2 eps)))) 0) into (- (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps)))))) into (- (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* (exp (cos (* 1/2 eps))) (sin (* 1/2 eps))))) 2)) (pow (exp (cos (* 1/2 eps))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (* (exp (cos (* 1/2 eps))) (pow (sin (* 1/2 eps)) 2))) (* 1/2 (* (exp (cos (* 1/2 eps))) (cos (* 1/2 eps)))))) 1)) (pow (exp (cos (* 1/2 eps))) 1)))) 2) into (* -1/2 (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* -1/2 (cos (* 1/2 eps))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (cos (* 1/2 eps)) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 eps) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 0)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* eps x)) (+ (* -1/2 (pow (* 1 x) 2)) 1)) into (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of 1/2 in eps * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) into (cos (* 1/2 (+ eps (* 2 x)))) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in (x eps) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in eps * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in eps * [misc]taylor: Taking taylor expansion of -1/2 in eps * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [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 (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) into (cos (* 1/2 (+ eps (* 2 x)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in x * [misc]taylor: Taking taylor expansion of (/ eps 2) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in x * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ eps x) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ eps 0) into eps * [misc]backup-simplify: Simplify (+ 0 eps) into eps * [misc]backup-simplify: Simplify (/ eps 2) into (* 1/2 eps) * [misc]backup-simplify: Simplify (cos (* 1/2 eps)) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (sin (* 1/2 eps)) into (sin (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 eps)) 1) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 eps)) 0) into (cos (* 1/2 eps)) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 eps))) into (exp (cos (* 1/2 eps))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 eps))) -1) into (- (exp (cos (* 1/2 eps))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 eps))) 1)) into (exp (cos (* 1/2 eps))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 eps)))) into (cos (* 1/2 eps)) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (exp (cos x)) into (exp (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos x)) -1) into (- (exp (cos x)) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos x)) 1)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos x) * [misc]taylor: Taking taylor expansion of (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ eps 2)) in eps * [misc]taylor: Taking taylor expansion of (/ eps 2) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ x (+ eps x)) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ x (+ eps x)) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ x (+ eps x)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ x (+ eps x)) 2) in eps * [misc]taylor: Taking taylor expansion of (+ x (+ eps x)) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of (+ eps x) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 x) into x * [misc]backup-simplify: Simplify (+ x x) into (* 2 x) * [misc]backup-simplify: Simplify (/ (* 2 x) 2) into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (exp (cos x)) into (exp (cos x)) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos x)) -1) into (- (exp (cos x)) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos x)) 1)) into (exp (cos x)) * [misc]backup-simplify: Simplify (log (exp (cos x))) into (cos x) * [misc]backup-simplify: Simplify (* 0 (cos x)) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (cos x) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* x (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* (sin x) 1/2) (* 0 0)) into (* 1/2 (sin x)) * [misc]backup-simplify: Simplify (- (* 1/2 (sin x))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (sin x)))) into (- (* 1/2 (sin x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 1) 1)))) into (* -1/2 (* (sin x) (exp (cos x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (sin x) (exp (cos x)))) 0) into (- (* 1/2 (* (sin x) (exp (cos x))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin x) (exp (cos x)))))) into (- (* 1/2 (* (sin x) (exp (cos x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (* (sin x) (exp (cos x)))))) 1)) (pow (exp (cos x)) 1)))) 1) into (* -1/2 (sin x)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1/2 1) 1))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (sin x))) (* 1/2 (cos x))) into (* 1/2 (cos x)) * [misc]taylor: Taking taylor expansion of (* 1/2 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into (- 1/8) * [misc]backup-simplify: Simplify (+ (* (cos x) (- 1/8)) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin x) 0) (+ (* 0 1/2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (cos x))) 0) into (- (* 1/8 (cos x))) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 2) 2)) (* (/ (pow (- (* 1/8 (cos x))) 1) 1)))) into (* (- (* 1/8 (pow (sin x) 2)) (* 1/8 (cos x))) (exp (cos x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (pow (sin x) 2)) (* 1/8 (cos x))) (exp (cos x))) 0) into (- (* 1/8 (* (pow (sin x) 2) (exp (cos x)))) (* 1/8 (* (exp (cos x)) (cos x)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/8 (* (pow (sin x) 2) (exp (cos x)))) (* 1/8 (* (exp (cos x)) (cos x))))) into (- (* 1/8 (* (pow (sin x) 2) (exp (cos x)))) (* 1/8 (* (exp (cos x)) (cos x)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (* (sin x) (exp (cos x)))))) 2)) (pow (exp (cos x)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (* (pow (sin x) 2) (exp (cos x)))) (* 1/8 (* (exp (cos x)) (cos x))))) 1)) (pow (exp (cos x)) 1)))) 2) into (* -1/8 (cos x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/8 (cos x))) (+ (* 1/2 (* -1/2 (sin x))) (* 0 (cos x)))) into (- (* 1/4 (sin x))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (sin x))) in x * [misc]taylor: Taking taylor expansion of (* 1/4 (sin x)) in x * [misc]taylor: Taking taylor expansion of 1/4 in x * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/4 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 (+ (* 1/2 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 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos x) 0) (+ (* 0 (- 1/8)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* x (/ 0 2)) (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* (sin x) (- 1/48)) (+ (* 0 0) (+ (* 0 1/2) (* 0 0)))) into (- (* 1/48 (sin x))) * [misc]backup-simplify: Simplify (- (- (* 1/48 (sin x)))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (+ 0 (* 1/48 (sin x))) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (* (exp (cos x)) (+ (* (/ (pow (- (* 1/2 (sin x))) 3) 6)) (* (/ (pow (- (* 1/2 (sin x))) 1) 1) (/ (pow (- (* 1/8 (cos x))) 1) 1)) (* (/ (pow (* 1/48 (sin x)) 1) 1)))) into (* (- (+ (* 1/48 (sin x)) (* 1/16 (* (sin x) (cos x)))) (* 1/48 (pow (sin x) 3))) (exp (cos x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/48 (sin x)) (* 1/16 (* (sin x) (cos x)))) (* 1/48 (pow (sin x) 3))) (exp (cos x))) 0) into (- (+ (* 1/16 (* (sin x) (* (exp (cos x)) (cos x)))) (* 1/48 (* (sin x) (exp (cos x))))) (* 1/48 (* (pow (sin x) 3) (exp (cos x))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/16 (* (sin x) (* (exp (cos x)) (cos x)))) (* 1/48 (* (sin x) (exp (cos x))))) (* 1/48 (* (pow (sin x) 3) (exp (cos x)))))) into (- (+ (* 1/16 (* (sin x) (* (exp (cos x)) (cos x)))) (* 1/48 (* (sin x) (exp (cos x))))) (* 1/48 (* (pow (sin x) 3) (exp (cos x))))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (* (sin x) (exp (cos x)))))) 3)) (pow (exp (cos x)) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (* (sin x) (exp (cos x)))))) 1) (pow (* 2 (- (* 1/8 (* (pow (sin x) 2) (exp (cos x)))) (* 1/8 (* (exp (cos x)) (cos x))))) 1)) (pow (exp (cos x)) 2))) (* 1 (/ (* 1 1 (pow (* 6 (- (+ (* 1/16 (* (sin x) (* (exp (cos x)) (cos x)))) (* 1/48 (* (sin x) (exp (cos x))))) (* 1/48 (* (pow (sin x) 3) (exp (cos x)))))) 1)) (pow (exp (cos x)) 1)))) 6) into (* 1/48 (sin x)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1/2 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/48) * [misc]backup-simplify: Simplify (+ (* 0 (* 1/48 (sin x))) (+ (* 1/2 (* -1/8 (cos x))) (+ (* 0 (* -1/2 (sin x))) (* (- 1/48) (cos x))))) into (- (* 1/12 (cos x))) * [misc]taylor: Taking taylor expansion of (- (* 1/12 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* 1/12 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1/12 in x * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/12 1) into 1/12 * [misc]backup-simplify: Simplify (- 1/12) into -1/12 * [misc]backup-simplify: Simplify -1/12 into -1/12 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1/4 1) (* 0 0)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* x (pow eps 2))) (+ (* -1/12 (pow (* 1 eps) 3)) (* 1/2 (* 1 eps)))) into (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x)))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ 1 eps) 2) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 eps) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 2 2) into 1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 eps) 2)) (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 eps) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 eps) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 eps) 2)) into (sin (/ 1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (/ 1 x)) in eps * [misc]taylor: Taking taylor expansion of (/ 1 eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [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 x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 x) (+ (/ 1 eps) (/ 1 x))) 2)) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 1/2 2) into 1 * [misc]backup-simplify: Simplify (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ 1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ 1/2 eps) in x * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1/2 eps) into (/ 1/2 eps) * [misc]backup-simplify: Simplify (sin (/ 1/2 eps)) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ 1/2 eps)) into (cos (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ 1/2 eps)) 1) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ 1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1/2 eps)) 0) into (sin (/ 1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) into (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ 1/2 eps))) * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (sin (/ 1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ 1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ 1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ 1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* 1/2 (+ (/ 1 (/ 1 eps)) (* 2 (/ 1 (/ 1 x)))))) (sin (/ 1/2 (/ 1 eps)))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * [misc]approximate: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in (eps x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ -1 eps) 2) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in x * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in x * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- eps)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in x * [misc]taylor: Taking taylor expansion of (- eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (- eps) into (- eps) * [misc]backup-simplify: Simplify (/ 1 (- eps)) into (/ -1 eps) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 x * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 2) into -1 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ (/ 1 (- eps)) 2)) (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) in eps * [misc]taylor: Taking taylor expansion of (sin (/ (/ 1 (- eps)) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- eps)) 2) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (sin (/ (/ 1 (- eps)) 2)) into (sin (/ -1/2 eps)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)))) in eps * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Rewrote expression to (- (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2))) in eps * [misc]taylor: Taking taylor expansion of (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) in eps * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2) in eps * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- eps)) (/ 1 (- x))) in eps * [misc]taylor: Taking taylor expansion of (/ 1 (- eps)) in eps * [misc]taylor: Taking taylor expansion of (- eps) in eps * [misc]taylor: Taking taylor expansion of eps in eps * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (- x)) in eps * [misc]taylor: Taking taylor expansion of (- x) in eps * [misc]taylor: Taking taylor expansion of x in eps * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of 2 in eps * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]backup-simplify: Simplify (cos (/ (+ (/ 1 (- x)) (+ (/ 1 (- eps)) (/ 1 (- x)))) 2)) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of 1 in eps * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) -1) into (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)) into (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) * [misc]backup-simplify: Simplify (log (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]taylor: Taking taylor expansion of (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) in x * [misc]taylor: Taking taylor expansion of (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 eps) (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 eps) in x * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ 1 eps) into (/ 1 eps) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* -1/2 2) into -1 * [misc]backup-simplify: Simplify (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) into (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (sin (/ -1/2 eps)) in x * [misc]taylor: Taking taylor expansion of (/ -1/2 eps) in x * [misc]taylor: Taking taylor expansion of -1/2 in x * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of eps in x * [misc]backup-simplify: Simplify eps into eps * [misc]backup-simplify: Simplify (/ -1/2 eps) into (/ -1/2 eps) * [misc]backup-simplify: Simplify (sin (/ -1/2 eps)) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (cos (/ -1/2 eps)) into (cos (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (sin (/ -1/2 eps)) 1) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (/ -1/2 eps)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1/2 eps)) 0) into (sin (/ -1/2 eps)) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) into (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) (sin (/ -1/2 eps))) * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 (+ (* (sin (/ -1/2 eps)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (* 0 (sin (/ -1/2 eps)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [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 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 eps) (+ (* (/ -1/2 eps) (/ 0 eps)) (* 0 (/ 0 eps)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1/2 eps)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (sin (/ -1/2 eps))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x)))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1/2 eps)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* -1/2 (+ (/ 1 eps) (* 2 (/ 1 x))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (* -1/2 (+ (/ 1 (/ 1 (- eps))) (* 2 (/ 1 (/ 1 (- x))))))) (sin (/ -1/2 (/ 1 (- eps))))) into (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (/ (+ x (+ eps x)) 2)) (cos (/ (+ x (+ eps x)) 2))) (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (/ (+ x (+ eps x)) 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (expm1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cos (/ (+ x (+ eps x)) 2)) * [exit]simplify: Simplified to (cos (/ (+ x (+ eps x)) 2)) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (log (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (exp (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (exp (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [exit]simplify: Simplified to (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) * [enter]simplify: Simplifying (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (cos (/ (+ x (+ eps x)) 2))) (expm1 (cos (/ (+ x (+ eps x)) 2)))) (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (pow (expm1 (cos (/ (+ x (+ eps x)) 2))) 3) * [exit]simplify: Simplified to (pow (expm1 (cos (/ (+ x (+ eps x)) 2))) 3) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (sqrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (sqrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (sqrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (expm1 (cos (/ (+ x (+ eps x)) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (expm1 (cos (/ (+ (+ x x) eps) 2))) 1) * [exit]simplify: Simplified to (+ (expm1 (cos (/ (+ (+ x x) eps) 2))) 1) * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (expm1 (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log1p (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (log (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (exp (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) (cbrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [exit]simplify: Simplified to (* (cbrt (cos (/ (+ x (+ eps x)) 2))) (cbrt (cos (/ (+ x (+ eps x)) 2)))) * [enter]simplify: Simplifying (cbrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (cbrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * [exit]simplify: Simplified to (pow (cos (/ (+ x (+ eps x)) 2)) 3) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [enter]simplify: Simplifying (sqrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * [exit]simplify: Simplified to (sqrt (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (expm1 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (expm1 (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log1p (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log1p (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ eps 2))) (log (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (+ (log (sin (/ eps 2))) (log (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 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 (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (log (* (cos (/ (+ x (+ x eps)) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * [exit]simplify: Simplified to (pow (exp (sin (/ eps 2))) (cos (/ (+ eps (+ x x)) 2))) * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (sin (/ eps 2))) (sin (/ eps 2))) (* (* (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) (cbrt (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [exit]simplify: Simplified to (* (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))))) * [enter]simplify: Simplifying (cbrt (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (cbrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * [exit]simplify: Simplified to (pow (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) 3) * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [enter]simplify: Simplifying (sqrt (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * [exit]simplify: Simplified to (sqrt (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2)))) * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (* (cbrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) (cbrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (* (cbrt (cos (/ (+ x (+ x eps)) 2))) (cbrt (cos (/ (+ x (+ x eps)) 2)))) (sin (/ eps 2))) * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (sqrt (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (cos (/ (+ (+ x x) eps) 2)))) * [exit]simplify: Simplified to (* (sin (/ eps 2)) (sqrt (cos (/ (+ (+ x x) eps) 2)))) * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sin (/ eps 2)) * [exit]simplify: Simplified to (sin (/ eps 2)) * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ eps 2))) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (cbrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (cbrt (sin (/ eps 2)))) * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin (/ eps 2))) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (sqrt (sin (/ eps 2)))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ eps x) x) 2)) (sqrt (sin (/ eps 2)))) * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * [exit]simplify: Simplified to (* (cos (/ (+ (+ x x) eps) 2)) (sin (/ eps 2))) * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log1p (expm1 (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (264 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (- 1 (* (+ x eps) (* x 1/2)))) * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (* 1/2 (+ eps (* 2 x)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (* (cos (* (fma 2 x eps) 1/2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (* 1/2 (+ eps (* 2 x)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (* (cos (* (fma 2 x eps) 1/2)) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log1p (- (+ (* 1/2 (* (exp (* 2 (+ (log eps) (log 1/2)))) (* (pow x 2) E))) E) (+ (* 1/2 (* eps (* x E))) (+ 1 (* 1/2 (* (pow x 2) E)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (* (log1p (fma (* (* (pow eps 2) (pow 1/2 2)) (* 1/2 E)) (* x x) (- E (fma (* x x) (* 1/2 E) (fma (* x eps) (* 1/2 E) 1))))) (* (sin (/ eps 2)) 2)) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log1p (- (exp (cos (* 1/2 (+ eps (* 2 x))))) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (log1p (- (exp (cos (* 1/2 (+ eps (* 2 x))))) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (- 1 (+ (* 1/2 (* eps x)) (* 1/2 (pow x 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (- 1 (* (+ x eps) (* x 1/2))) (* 2 (sin (/ eps 2)))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [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 (53 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (sin (/ eps 2)) (cos (* 1/2 (+ eps (* 2 x)))))) * * [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 (53 enodes) * [exit]simplify: Simplified to (* (* (sin (/ eps 2)) 2) (cos (* (fma 2 x eps) 1/2))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (- (* 1/2 eps) (+ (* 1/12 (pow eps 3)) (* 1/4 (* (pow eps 2) x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (- (* (* eps 1/2) 2) (* (* 2 (* eps eps)) (fma 1/4 x (* eps 1/12)))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (fma x 2 eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 (* (cos (* 1/2 (+ eps (* 2 x)))) (sin (* 1/2 eps)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * [exit]simplify: Simplified to (* (cos (* (fma x 2 eps) 1/2)) (* (sin (* eps 1/2)) 2)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # #) * [misc]regimes: searching between -7.290271346747531e-14 and -4.97680009708111e-07 on (- (sin (+ x eps)) (sin x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.6707151526371295e-190 and 1.1205548254737039e-298 on (- (sin (+ x eps)) (sin x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.8897511496224356e+161 and -7.605311329977112e+177 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -9.779940061204298e+60 and -7.447731371021966e+71 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.2219765589404705e+117 and 8.40469635347052e+100 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.954650634110254e+246 and 1.3557350350348342e+244 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 5.027318832526334e+284 and 2.1703230086091624e+277 on x * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.976800097081315e-07 on eps * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.96636707501737e-13 and 1.5274484190953342e-17 on eps * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.97680009708111e-07 on (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.6707151526371295e-190 and 1.1205548254737039e-298 on (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.97680009708111e-07 on (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.96636707501737e-13 and 7.259691009380631e-18 on (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.6451356733737653e-14 and -2.488400048540555e-07 on (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.483183537508685e-13 and 3.629845504690316e-18 on (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.976800097081109e-07 on (* 2 (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.96636707501737e-13 and 7.259691009380631e-18 on (* 2 (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.6451356733737653e-14 and -2.4884000485405544e-07 on (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.483183537508685e-13 and 3.629845504690316e-18 on (* (sin (/ eps 2)) (* (sqrt (cos (/ (+ x (+ eps x)) 2))) (sqrt (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -8.432974195290456e-32 and -0.01574738851972873 on (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.966367075017369e-13 and 7.25969100938063e-18 on (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.75544344249649 and 1.43109248084989 on (* 2 (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -4.216487097645228e-32 and -0.007873694259864365 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.4831835375086847e-13 and 3.629845504690315e-18 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 0.877721721248245 and 0.715546240424945 on (* (sqrt (sin (/ eps 2))) (* (sqrt (sin (/ eps 2))) (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.97680009708111e-07 on (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 1.6707151526371295e-190 and 1.1205548254737039e-298 on (+ (* (sin x) (cos eps)) (- (* (cos x) (sin eps)) (sin x))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.976800097081109e-07 on (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.96636707501737e-13 and 7.25969100938063e-18 on (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.6451356733737653e-14 and -2.4884000485405544e-07 on (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.483183537508685e-13 and 3.629845504690315e-18 on (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.976800097081109e-07 on (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.96636707501737e-13 and 7.259691009380631e-18 on (* 2 (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2)))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.6451356733737653e-14 and -2.4884000485405544e-07 on (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.483183537508685e-13 and 3.629845504690316e-18 on (* (sin (/ eps 2)) (log (exp (cos (/ (+ x (+ eps x)) 2))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747534e-14 and -4.976800097081109e-07 on (* 2 (* (sin (/ eps 2)) (log1p (* (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.966367075017374e-13 and 7.25969100938063e-18 on (* 2 (* (sin (/ eps 2)) (log1p (* (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.645135673373767e-14 and -2.4884000485405544e-07 on (* (sin (/ eps 2)) (log1p (* (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.483183537508687e-13 and 3.629845504690315e-18 on (* (sin (/ eps 2)) (log1p (* (* (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2)))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))) (cbrt (expm1 (cos (/ (+ x (+ eps x)) 2))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -7.290271346747531e-14 and -4.97680009708111e-07 on (* 2 (* (sin (/ eps 2)) (expm1 (exp (log (log1p (cos (/ (+ x (+ eps x)) 2)))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 8.96636707501737e-13 and 7.259691009380631e-18 on (* 2 (* (sin (/ eps 2)) (expm1 (exp (log (log1p (cos (/ (+ x (+ eps x)) 2)))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between -3.6451356733737653e-14 and -2.488400048540555e-07 on (* (sin (/ eps 2)) (expm1 (exp (log (log1p (cos (/ (+ x (+ eps x)) 2))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: searching between 4.483183537508685e-13 and 3.629845504690316e-18 on (* (sin (/ eps 2)) (expm1 (exp (log (log1p (cos (/ (+ x (+ eps x)) 2))))))) * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 0 have 0 / 16 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 16 points with exact outputs * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) -1.0196687379139097e-10) #s(sp 1 (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) 3.1114522668709066e-13) #s(sp 0 (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) +nan.0)) , with alts (# #) * [enter]simplify: Simplifying (if (<= (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) -1.0196687379139097e-10) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)) (if (<= (* 2 (* (sin (/ eps 2)) (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))))) 3.1114522668709066e-13) (* 2 (* (sin (/ eps 2)) (cos (/ (+ x (+ eps x)) 2)))) (- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * [exit]simplify: Simplified to (if (<= (* 2 (* (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) (sin (/ eps 2)))) -1.0196687379139097e-10) (- (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (sin x)) (if (<= (* 2 (* (log1p (expm1 (cos (/ (+ x (+ eps x)) 2)))) (sin (/ eps 2)))) 3.1114522668709066e-13) (* 2 (* (cos (/ (+ x (+ eps x)) 2)) (sin (/ eps 2)))) (- (+ (* (sin eps) (cos x)) (* (cos eps) (sin x))) (sin x)))) * * * * [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 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs