* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [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 (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Fresh alt: (λ (N) (- (atan (+ N 1)) (atan N))) * [misc]none: Fresh alt 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(2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77): 0 * [misc]none: (1.4399038101240658e-157): 0 * [misc]none: (-0.0033935472374883513): 0 * [misc]none: (-1.873060887288803e+204): 0 * [misc]none: (6.486236446634097e-143): 0 * [misc]none: (-6.777569686362558e+23): 0 * [misc]none: (-3.976258322985434e+241): 0 * [misc]none: (1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109): 0 * [misc]none: (1.8890847145741933e+54): 0 * [misc]none: (5.334416108525731e+103): 0 * [misc]none: (8.243928876632343e+120): 0 * [misc]none: (4.915746009665795e+153): 0 * [misc]none: (-1.2716911445748643e-294): 0 * [misc]none: (-1.178199525484178e+291): 0 * [misc]none: (-2.616452914461827e+123): 0 * [misc]none: (-1.3552545859518693e-149): 0 * [misc]none: (1.0769411808120101e+237): 0 * [misc]none: (2.7212207505395135e+138): 0 * [misc]none: (-1.7192030807828345e+260): 0 * [misc]none: (-3.070590530502344e+254): 0 * [misc]none: (4.3361011341035273e+108): 0 * [misc]none: (-7.078347720981057e+296): 0 * [misc]none: (-1.1633032638785635e+290): 0 * [misc]none: (-2.3832835734274537e-77): 0 * [misc]none: (-2.0550237535049573e-58): 0 * [misc]none: (3.3652051120813564e-167): 0 * [misc]none: (-1.6071108269264857e+240): 0 * [misc]none: (2.2507296241296892e-278): 0 * [misc]none: (-8.625502649886978e-116): 0 * [misc]none: (-7.605291673043568e+86): 0 * [misc]none: (1.3555181915244097e+58): 0 * [misc]none: (5.535572593369702e+234): 0 * [misc]none: (1.1281253812481777e-05): 0 * [misc]none: (-7.875416682732296e+153): 0 * [misc]none: (2.953059473116585e-77): 0 * [misc]none: (-1.7943678282584236e+305): 0 * [misc]none: (-8.253144371362014e+269): 0 * [misc]none: (1.6962188327979892e+156): 0 * [misc]none: (-3.0357430466827192e+202): 0 * [misc]none: (7.526837789610841e+223): 0 * [misc]none: (-1.0160940285787676e+119): 0 * [misc]none: (6.853656747763464e-298): 0 * [misc]none: (1.5907488733120222e-68): 0 * [misc]none: (-4.474252265840201e+73): 0 * [misc]none: (1.3833425279814779e+61): 0 * [misc]none: (-4.807303049624254e-15): 0 * [misc]none: (1.8641906072853124e-122): 0 * [misc]none: (-3.0274687809727364e-300): 0 * [misc]none: (7.50358512361513e-69): 0 * [misc]none: (1.5464847509065313e+116): 0 * [misc]none: (-7.218711869488973e-243): 0 * [misc]none: (-587327855578134.2): 0 * [misc]none: (-3.1846212263600816e-18): 0 * [misc]none: (4.242186305736945e+277): 0 * [misc]none: (7.288958178428041e-256): 0 * [misc]none: (5.409384226193089e+76): 0 * [misc]none: (-2.319372457341872e-287): 0 * [misc]none: (4.187380162585325e-193): 0 * [misc]none: (-1.32843112383632e+222): 0 * [misc]none: (-1.1299275128362188e+120): 0 * [misc]none: (6.659322155044152e+223): 0 * [misc]none: (-2.5903554766194963e+287): 0 * [misc]none: (-7.84381588726745e-44): 0 * [misc]none: (3.9248553939523704e-204): 0 * [misc]none: (-2.4810437085982083e-110): 0 * [misc]none: (2.623583837461381e+148): 0 * [misc]none: (-4.810065069789271e-38): 0 * [misc]none: (1.6579472731822137e+209): 0 * [misc]none: (7.148125858281279e-128): 0 * [misc]none: (-1.1410424941898917e-307): 0 * [misc]none: (-7.884101440606108e+43): 0 * [misc]none: (3.2782900783384907e+260): 0 * [misc]none: (1.2654023023741973e+87): 0 * [misc]none: (5.3297020297971135e-251): 0 * [misc]none: (4.360233270161975e+69): 0 * [misc]none: (-1.2973858626691246e+248): 0 * [misc]none: (-1.3038350073216301e+175): 0 * [misc]none: (6.186245288104366e-177): 0 * [misc]none: (4.0009214940503626e-296): 0 * [misc]none: (-3.1670246594447204e-244): 0 * [misc]none: (-4.944977315465704e+134): 0 * [misc]none: (3.7946864491882027e-174): 0 * [misc]none: (7.967379897939584e-266): 0 * [misc]none: (5.338353252944482e+295): 0 * [misc]none: (2.475773952907049e-271): 0 * [misc]none: (5.261531518469373e-290): 0 * [misc]none: (2.555657911489638e+100): 0 * [misc]none: (2.1545947154827896e+229): 0 * [misc]none: (2.6209188754640728e+107): 0 * [misc]none: (1.0367654190214238e+155): 0 * [misc]none: (7.510167254913154e-75): 0 * [misc]none: (-1.879438806525893e-17): 0 * [misc]none: (-2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50): 0 * [misc]none: (5.462119320563526e+16): 0 * [misc]none: (-7.461408405072584e-11): 0 * [misc]none: (2.819362408294866e+247): 0 * [misc]none: (5.576422555370537e+229): 0 * [misc]none: (-1.2634592988240547e+184): 0 * [misc]none: (-2.046312445248254e+167): 0 * [misc]none: (-2.5768688170454604e-166): 0 * [misc]none: (-2.3695265370701153e-160): 0 * [misc]none: (5.627370989949808e+102): 0 * [misc]none: (-1.1307817728525e-192): 0 * [misc]none: (2.729599448498006e-142): 0 * [misc]none: (1.268161462925599e-223): 0 * [misc]none: (1.8558602765266175e+154): 0 * [misc]none: (8.010626774664954e-118): 0 * [misc]none: (3.197294045188449e-213): 0 * [misc]none: (-3.8061627632242695e+220): 0 * [misc]none: (1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277): 0 * [misc]none: (-1.4026731237337527e+299): 0 * [misc]none: (1.2309532522175715e-227): 0 * [misc]none: (5.849070875002102e-168): 0 * [misc]none: (-1.8322924530722165e+176): 0 * [misc]none: (2.6481468427206757e-89): 0 * [misc]none: (1.8304705420573128e+300): 0 * [misc]none: (5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102): 0 * [misc]none: (1.3917287586797797e+215): 0 * [misc]none: (-1.9484215729108895e+208): 0 * [misc]none: (2.7534373406057187e+274): 0 * [misc]none: (-6.754823491493555e-24): 0 * [misc]none: (-2.4266153803656513e-110): 0 * [misc]none: (2.802805856656922e+299): 0 * [misc]none: (3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259): 0 * [misc]none: (-5.821161027096475e-49): 0 * [misc]none: (4.3906960513010925e-288): 0 * [misc]none: (9.735553079850294e-195): 0 * [misc]none: (-2.4642361000377723e+179): 0 * [misc]none: (-223338690.5739434): 0 * [misc]none: (2.617385806499904e-208): 0 * [misc]none: (6.454193966659965e-12): 0 * [misc]none: (1.2843486366644783e+218): 0 * [misc]none: (1.6598105327534946e+245): 0 * [misc]none: (-2.2565106546246065e+111): 0 * [misc]none: (-8.921793657844595e+241): 0 * [misc]none: (-1.2504926677350782e+286): 0 * [misc]none: (2142884768423.9766): 0 * [misc]none: (-1.0342577969053837e-127): 0 * [misc]none: (1.1325567110922881e-222): 0 * [misc]none: (6.352964037059704e-48): 0 * [misc]none: (2.0675888684205106e-37): 0 * [misc]none: (3.9955309460256863e-193): 0 * [misc]none: (-6.802352065741283e-237): 0 * [misc]none: (1.7860466700053246e+179): 0 * [misc]none: (-2.1540953112813662e-178): 0 * [misc]none: (-1.1984894069610523e-255): 0 * [misc]none: (2.286904329311883e+176): 0 * [misc]none: (-3.0869297245392077e+307): 0 * [misc]none: (-7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269): 0 * [misc]none: (-1.981435962910265e-248): 0 * [misc]none: (1.434478809327731e-162): 0 * [misc]none: (1.7673263201240207e+200): 0 * [misc]none: (4.1358060479750856e+163): 0 * [misc]none: (2.77377213114978e+181): 0 * [misc]none: (-2.5233739143143128e-166): 0 * [misc]none: (7.0699594918945535e-177): 0 * [misc]none: (1.5437232098269186e+160): 0 * [misc]none: (-5.1984298768145166e+116): 0 * [misc]none: (-1.2768311469464077e-95): 0 * [misc]none: (-4.0802892718556596e+97): 0 * [misc]none: Picked alt (λ (N) (- (atan (+ N 1)) (atan N))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]taylor: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan N) in N * [misc]backup-simplify: Simplify (atan N) into (atan N) * [misc]backup-simplify: Simplify (- (atan N)) into (- (atan N)) * [misc]backup-simplify: Simplify (+ (atan (+ 1 N)) (- (atan N))) into (- (atan (+ 1 N)) (atan N)) * [misc]backup-simplify: Simplify (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [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]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) 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]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 (- (atan (+ 1 N)) (atan N)) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 N)) in N * [misc]backup-simplify: Simplify (atan (/ 1 N)) into (atan (/ 1 N)) * [misc]backup-simplify: Simplify (- (atan (/ 1 N))) into (- (atan (/ 1 N))) * [misc]backup-simplify: Simplify (+ (atan (+ 1 (/ 1 N))) (- (atan (/ 1 N)))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [misc]backup-simplify: Simplify (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) into (- (atan (+ 1 (/ 1 N))) (atan (/ 1 N))) * [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]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) 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]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 (- (atan (+ 1 (/ 1 (/ 1 N)))) (atan (/ 1 (/ 1 N)))) into (- (atan (+ 1 N)) (atan N)) * [misc]approximate: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]taylor: Taking taylor expansion of (- (atan (+ (/ 1 (- N)) 1)) (atan (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (/ 1 (- N))) in N * [misc]backup-simplify: Simplify (atan (/ 1 (- N))) into (atan (/ -1 N)) * [misc]backup-simplify: Simplify (- (atan (/ -1 N))) into (- (atan (/ -1 N))) * [misc]backup-simplify: Simplify (+ (atan (- 1 (/ 1 N))) (- (atan (/ -1 N)))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [misc]backup-simplify: Simplify (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) into (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) * [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]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) 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]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 (- (atan (- 1 (/ 1 (/ 1 (- N))))) (atan (/ -1 (/ 1 (- N))))) into (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]taylor: Taking taylor expansion of (atan (+ N 1)) in N * [misc]backup-simplify: Simplify (atan (+ N 1)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 N)) into (atan (+ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 N) 1)) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 N))) into (atan (+ 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (+ 1 (/ 1 (/ 1 N)))) into (atan (+ 1 N)) * [misc]approximate: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan (+ (/ 1 (- N)) 1)) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 N))) into (atan (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (- 1 (/ 1 (/ 1 (- N))))) into (atan (+ 1 N)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (+ 1 (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) * [exit]simplify: Simplified to (+ (+ N 1) (* N N)) * * * * [misc]progress: [ 2 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan (+ N 1))) (exp (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 3 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 5 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (exp (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 6 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (atan (+ N 1)) (atan N))) (cbrt (- (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [exit]simplify: Simplified to (* (cbrt (- (atan (+ 1 N)) (atan N))) (cbrt (- (atan (+ 1 N)) (atan N)))) * [enter]simplify: Simplifying (cbrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (cbrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 7 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (atan (+ N 1)) (atan N)) (- (atan (+ N 1)) (atan N))) (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * [exit]simplify: Simplified to (pow (- (atan (+ 1 N)) (atan N)) 3) * * * * [misc]progress: [ 8 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [enter]simplify: Simplifying (sqrt (- (atan (+ N 1)) (atan N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (sqrt (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 9 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan (+ N 1)) 3) (pow (atan N) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (pow (atan (+ 1 N)) 3) (* (* (atan N) (atan N)) (- (atan N)))) * [exit]simplify: Simplified to (+ (pow (atan (+ 1 N)) 3) (* (* (atan N) (atan N)) (- (atan N)))) * [enter]simplify: Simplifying (+ (* (atan (+ N 1)) (atan (+ N 1))) (+ (* (atan N) (atan N)) (* (atan (+ N 1)) (atan N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * [exit]simplify: Simplified to (+ (* (atan (+ 1 N)) (atan (+ 1 N))) (* (+ (atan N) (atan (+ 1 N))) (atan N))) * * * * [misc]progress: [ 10 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 11 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (atan (+ N 1)) (atan (+ N 1))) (* (atan N) (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) * [exit]simplify: Simplified to (- (* (atan (+ 1 N)) (atan (+ 1 N))) (* (atan N) (atan N))) * [enter]simplify: Simplifying (+ (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (+ (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 13 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (+ (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [enter]simplify: Simplifying (- (sqrt (atan (+ N 1))) (sqrt (atan N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * [exit]simplify: Simplified to (- (sqrt (atan (+ 1 N))) (sqrt (atan N))) * * * * [misc]progress: [ 14 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ N 1)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * * * * [misc]progress: [ 15 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan N)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (atan N)) * [exit]simplify: Simplified to (- (atan N)) * * * * [misc]progress: [ 16 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * [exit]simplify: Simplified to (log (atan (+ 1 N))) * * * * [misc]progress: [ 18 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * [exit]simplify: Simplified to (exp (atan (+ 1 N))) * * * * [misc]progress: [ 19 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (atan (+ 1 N))) (cbrt (atan (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * [exit]simplify: Simplified to (cbrt (atan (+ 1 N))) * * * * [misc]progress: [ 20 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (+ N 1)) (atan (+ N 1))) (atan (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (pow (atan (+ 1 N)) 3) * [exit]simplify: Simplified to (pow (atan (+ 1 N)) 3) * * * * [misc]progress: [ 21 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * [enter]simplify: Simplifying (sqrt (atan (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * [exit]simplify: Simplified to (sqrt (atan (+ 1 N))) * * * * [misc]progress: [ 22 / 28 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 24 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 25 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 26 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 27 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * * [misc]progress: [ 28 / 28 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan (+ 1 N)) (atan N)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 1 * [misc]none: All alts: 1 * [misc]none: Non-fresh alt: (λ (N) (- (atan (+ N 1)) (atan N))) * [misc]none: Fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) * [misc]none: Fresh alt indexes * [misc]none: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 0 * [misc]none: Best fresh alt per point * [misc]none: (1.8269212298308998e+214): 0 * [misc]none: (1789977963981.046): 0 * [misc]none: (-1.7899154283931006e-62): 0 * [misc]none: (1.6281717766697912e+39): 0 * [misc]none: (3.5243641367880456e+86): 0 * [misc]none: (-3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117): 0 * [misc]none: (1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64): 0 * [misc]none: (-1.6133455999823373e+110): 0 * [misc]none: (-3.9890484917100117e+257): 0 * [misc]none: (-1.5117832743647305e-21): 0 * [misc]none: (3.928924306566786e-70): 0 * [misc]none: (5.222760300460367e-180): 0 * [misc]none: (-4.026134204708055e+160): 0 * [misc]none: (2.281413649637054e-166): 0 * [misc]none: (4.156243175149629e-181): 0 * [misc]none: (-9.231874857928986e-255): 0 * [misc]none: (-1.65054043818576e-39): 0 * [misc]none: (-1.0058709145515093e+290): 0 * [misc]none: (-4.753699147196455e-118): 0 * [misc]none: (-4.805584106456354e-282): 0 * [misc]none: (-0.15058815983267834): 0 * [misc]none: (3.714800492587865e+85): 0 * [misc]none: (-4.7089063680709754e+260): 0 * [misc]none: (4.344802098601123e-298): 0 * [misc]none: (4.508329239962989e+257): 0 * [misc]none: (-1.211264682641895e-292): 0 * [misc]none: (1.0495684746531957e+167): 0 * [misc]none: (2.721003254105153e-81): 0 * [misc]none: (-3.0671153252781823e-63): 0 * [misc]none: (-7.74362334743424e+32): 0 * [misc]none: (-2.2376851712564295e-118): 0 * [misc]none: (1.64239269831532e+149): 0 * [misc]none: (-1.576948173228613e+33): 0 * [misc]none: (9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252): 0 * [misc]none: (-7.83347153590065e-06): 0 * [misc]none: (5.521334390623478e-06): 0 * [misc]none: (-3.229654932887624e+201): 0 * [misc]none: (-9.827696191097834e-18): 0 * [misc]none: (-1.3343140776153144e-304): 0 * [misc]none: (-9.906575581428813e+195): 0 * [misc]none: (7.10957194421701e+200): 0 * [misc]none: (-4.7756557550151386e+160): 0 * [misc]none: (2.4256946179069016e+78): 0 * [misc]none: (6.207394963032113e+30): 0 * [misc]none: (-7.218692088264328e+54): 0 * [misc]none: (8.781920275794267e+61): 0 * [misc]none: (3.5618749791650757e+87): 0 * [misc]none: (4.9372470656494625e-201): 0 * [misc]none: (1.4446355009900792e+23): 0 * [misc]none: (-3.5082856951249954e-122): 0 * [misc]none: (9.917487178181935e-54): 0 * [misc]none: (-7.01049497494046e-138): 0 * [misc]none: (3.841494064694043e+276): 0 * [misc]none: (3.642806409692576e+70): 0 * [misc]none: (-3.326243684234595e+241): 0 * [misc]none: (-7.587678445119084e+247): 0 * [misc]none: (1.518078533135906e+61): 0 * [misc]none: (1.5052438492777668e+214): 0 * [misc]none: (1.5460201380138582e-108): 0 * [misc]none: (6.354924490516637e-174): 0 * [misc]none: (1.1935837539207151e+36): 0 * [misc]none: (-1.6901036379481523e+68): 0 * [misc]none: (5.558607723763576e+296): 0 * [misc]none: (-5129.844514220037): 0 * [misc]none: (-8.518839978003416e+199): 0 * [misc]none: (5.0618502549145104e+216): 0 * [misc]none: (-2.0899529309308688e-173): 0 * [misc]none: (-1.3078423091955545e+95): 0 * [misc]none: (8.726419779901594e-156): 0 * [misc]none: (1.5484790382727637e+258): 0 * [misc]none: (2.2758369496030736e+44): 0 * [misc]none: (2.7646272679971947e+138): 0 * [misc]none: (1.8029164814151534e-305): 0 * [misc]none: (-8.140052952226443e-29): 0 * [misc]none: (-3.868827374468717e+273): 0 * [misc]none: (-9.30868828487235e-242): 0 * [misc]none: (7.865810923274834e+251): 0 * [misc]none: (-1.977339157633397e-22): 0 * [misc]none: (-12396.634829186376): 0 * [misc]none: (2.0737883409435182e-60): 0 * [misc]none: (8.938208620266642e-81): 0 * [misc]none: (-1.0125994980022202e+121): 0 * [misc]none: (9.949795070357293e-13): 0 * [misc]none: (3.9753155304068916e+192): 0 * [misc]none: (-1.5751944823937151e-208): 0 * [misc]none: (-5.711690539427335e-292): 0 * [misc]none: (2.0698086438592394e+99): 0 * [misc]none: (8.149794087375897e+77): 0 * [misc]none: (1.4399038101240658e-157): 0 * [misc]none: (-0.0033935472374883513): 0 * [misc]none: (-1.873060887288803e+204): 0 * [misc]none: (6.486236446634097e-143): 0 * [misc]none: (-6.777569686362558e+23): 0 * [misc]none: (-3.976258322985434e+241): 0 * [misc]none: (1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109): 0 * [misc]none: (1.8890847145741933e+54): 0 * [misc]none: (5.334416108525731e+103): 0 * [misc]none: (8.243928876632343e+120): 0 * [misc]none: (4.915746009665795e+153): 0 * [misc]none: (-1.2716911445748643e-294): 0 * [misc]none: (-1.178199525484178e+291): 0 * [misc]none: (-2.616452914461827e+123): 0 * [misc]none: (-1.3552545859518693e-149): 0 * [misc]none: (1.0769411808120101e+237): 0 * [misc]none: (2.7212207505395135e+138): 0 * [misc]none: (-1.7192030807828345e+260): 0 * [misc]none: (-3.070590530502344e+254): 0 * [misc]none: (4.3361011341035273e+108): 0 * [misc]none: (-7.078347720981057e+296): 0 * [misc]none: (-1.1633032638785635e+290): 0 * [misc]none: (-2.3832835734274537e-77): 0 * [misc]none: 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(1.5437232098269186e+160): 0 * [misc]none: (-5.1984298768145166e+116): 1 * [misc]none: (-1.2768311469464077e-95): 0 * [misc]none: (-4.0802892718556596e+97): 1 * [misc]none: Picked alt (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ N 1) N) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow N 2)) (* 1 N)) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 1 1)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (/ 1 N))) (* 1 (pow (/ 1 (/ 1 N)) 2))) into (+ (pow N 2) N) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 1 -1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (/ 1 (- N)))) (* 1 (pow (/ 1 (/ 1 (- N))) 2))) into (+ (pow N 2) N) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 3 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 4 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 5 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) * * * * [misc]progress: [ 6 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 7 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ N (* N N))) * [exit]simplify: Simplified to (log (+ N (* N N))) * * * * [misc]progress: [ 10 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * [exit]simplify: Simplified to (pow (exp N) (+ 1 N)) * * * * [misc]progress: [ 11 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (+ N 1) N)) (cbrt (* (+ N 1) N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) * [exit]simplify: Simplified to (* (cbrt (+ N (* N N))) (cbrt (+ N (* N N)))) * [enter]simplify: Simplifying (cbrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * [exit]simplify: Simplified to (cbrt (+ (* N N) N)) * * * * [misc]progress: [ 12 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ N 1) N) (* (+ N 1) N)) (* (+ N 1) N)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (478 enodes) * [exit]simplify: Simplified to (pow (+ N (* N N)) 3) * [exit]simplify: Simplified to (pow (+ N (* N N)) 3) * * * * [misc]progress: [ 13 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [enter]simplify: Simplifying (sqrt (* (+ N 1) N)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * [exit]simplify: Simplified to (sqrt (+ (* N N) N)) * * * * [misc]progress: [ 14 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) N) * * * * [misc]progress: [ 16 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ N 1)) N) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) N) * * * * [misc]progress: [ 17 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) N) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (+ (* N N) N) * [exit]simplify: Simplified to (+ (* N N) N) * * * * [misc]progress: [ 18 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) N) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (+ N (* (* N N) (* N N))) * [exit]simplify: Simplified to (+ N (* (* N N) (* N N))) * * * * [misc]progress: [ 19 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* N N) (* 1 1)) N) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (pow N 3) N) * [exit]simplify: Simplified to (- (pow N 3) N) * * * * [misc]progress: [ 20 / 26 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 22 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 23 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 24 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 25 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 26 / 26 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 4 * [misc]none: All alts: 4 * [misc]none: Fresh alt: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))) * [misc]none: Fresh alt: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * [misc]none: Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * [misc]none: Fresh alt: (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * [misc]none: Non-fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) * [misc]none: Fresh alt indexes * [misc]none: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))): 0 * [misc]none: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 1 * [misc]none: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 2 * [misc]none: (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))): 3 * [misc]none: Best fresh alt per point * [misc]none: (1.8269212298308998e+214): 1 * [misc]none: (1789977963981.046): 2 * [misc]none: (-1.7899154283931006e-62): 0 * [misc]none: (1.6281717766697912e+39): 0 * [misc]none: (3.5243641367880456e+86): 2 * [misc]none: (-3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117): 0 * [misc]none: (1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64): 0 * [misc]none: (-1.6133455999823373e+110): 1 * [misc]none: (-3.9890484917100117e+257): 1 * [misc]none: (-1.5117832743647305e-21): 0 * [misc]none: (3.928924306566786e-70): 0 * [misc]none: (5.222760300460367e-180): 0 * [misc]none: (-4.026134204708055e+160): 1 * [misc]none: (2.281413649637054e-166): 0 * [misc]none: (4.156243175149629e-181): 0 * [misc]none: (-9.231874857928986e-255): 0 * [misc]none: (-1.65054043818576e-39): 0 * [misc]none: (-1.0058709145515093e+290): 1 * [misc]none: (-4.753699147196455e-118): 0 * 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* [misc]none: (-1.32843112383632e+222): 1 * [misc]none: (-1.1299275128362188e+120): 2 * [misc]none: (6.659322155044152e+223): 1 * [misc]none: (-2.5903554766194963e+287): 1 * [misc]none: (-7.84381588726745e-44): 0 * [misc]none: (3.9248553939523704e-204): 0 * [misc]none: (-2.4810437085982083e-110): 0 * [misc]none: (2.623583837461381e+148): 2 * [misc]none: (-4.810065069789271e-38): 0 * [misc]none: (1.6579472731822137e+209): 1 * [misc]none: (7.148125858281279e-128): 0 * [misc]none: (-1.1410424941898917e-307): 0 * [misc]none: (-7.884101440606108e+43): 0 * [misc]none: (3.2782900783384907e+260): 1 * [misc]none: (1.2654023023741973e+87): 4 * [misc]none: (5.3297020297971135e-251): 0 * [misc]none: (4.360233270161975e+69): 0 * [misc]none: (-1.2973858626691246e+248): 1 * [misc]none: (-1.3038350073216301e+175): 1 * [misc]none: (6.186245288104366e-177): 0 * [misc]none: (4.0009214940503626e-296): 0 * [misc]none: (-3.1670246594447204e-244): 0 * [misc]none: (-4.944977315465704e+134): 2 * [misc]none: (3.7946864491882027e-174): 0 * [misc]none: (7.967379897939584e-266): 0 * [misc]none: (5.338353252944482e+295): 1 * [misc]none: (2.475773952907049e-271): 0 * [misc]none: (5.261531518469373e-290): 0 * [misc]none: (2.555657911489638e+100): 3 * [misc]none: (2.1545947154827896e+229): 1 * [misc]none: (2.6209188754640728e+107): 2 * [misc]none: (1.0367654190214238e+155): 1 * [misc]none: (7.510167254913154e-75): 0 * [misc]none: (-1.879438806525893e-17): 0 * [misc]none: (-2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50): 0 * [misc]none: (5.462119320563526e+16): 4 * [misc]none: (-7.461408405072584e-11): 0 * [misc]none: (2.819362408294866e+247): 1 * [misc]none: (5.576422555370537e+229): 1 * [misc]none: (-1.2634592988240547e+184): 1 * [misc]none: (-2.046312445248254e+167): 1 * [misc]none: (-2.5768688170454604e-166): 0 * [misc]none: (-2.3695265370701153e-160): 0 * [misc]none: (5.627370989949808e+102): 2 * [misc]none: (-1.1307817728525e-192): 0 * [misc]none: (2.729599448498006e-142): 0 * [misc]none: (1.268161462925599e-223): 0 * [misc]none: (1.8558602765266175e+154): 1 * [misc]none: (8.010626774664954e-118): 0 * [misc]none: (3.197294045188449e-213): 0 * [misc]none: (-3.8061627632242695e+220): 1 * [misc]none: (1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277): 1 * [misc]none: (-1.4026731237337527e+299): 1 * [misc]none: (1.2309532522175715e-227): 0 * [misc]none: (5.849070875002102e-168): 0 * [misc]none: (-1.8322924530722165e+176): 1 * [misc]none: (2.6481468427206757e-89): 0 * [misc]none: (1.8304705420573128e+300): 1 * [misc]none: (5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102): 1 * [misc]none: (1.3917287586797797e+215): 1 * [misc]none: (-1.9484215729108895e+208): 1 * [misc]none: (2.7534373406057187e+274): 1 * [misc]none: (-6.754823491493555e-24): 0 * [misc]none: (-2.4266153803656513e-110): 0 * [misc]none: (2.802805856656922e+299): 1 * [misc]none: (3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259): 1 * [misc]none: (-5.821161027096475e-49): 0 * [misc]none: (4.3906960513010925e-288): 0 * [misc]none: (9.735553079850294e-195): 0 * [misc]none: (-2.4642361000377723e+179): 1 * [misc]none: (-223338690.5739434): 2 * [misc]none: (2.617385806499904e-208): 0 * [misc]none: (6.454193966659965e-12): 0 * [misc]none: (1.2843486366644783e+218): 1 * [misc]none: (1.6598105327534946e+245): 1 * [misc]none: (-2.2565106546246065e+111): 3 * [misc]none: (-8.921793657844595e+241): 1 * [misc]none: (-1.2504926677350782e+286): 1 * [misc]none: (2142884768423.9766): 2 * [misc]none: (-1.0342577969053837e-127): 0 * [misc]none: (1.1325567110922881e-222): 0 * [misc]none: (6.352964037059704e-48): 0 * [misc]none: (2.0675888684205106e-37): 0 * [misc]none: (3.9955309460256863e-193): 0 * [misc]none: (-6.802352065741283e-237): 0 * [misc]none: (1.7860466700053246e+179): 1 * [misc]none: (-2.1540953112813662e-178): 0 * [misc]none: (-1.1984894069610523e-255): 0 * [misc]none: (2.286904329311883e+176): 1 * [misc]none: (-3.0869297245392077e+307): 1 * [misc]none: (-7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269): 1 * [misc]none: (-1.981435962910265e-248): 0 * [misc]none: (1.434478809327731e-162): 0 * [misc]none: (1.7673263201240207e+200): 1 * [misc]none: (4.1358060479750856e+163): 1 * [misc]none: (2.77377213114978e+181): 1 * [misc]none: (-2.5233739143143128e-166): 0 * [misc]none: (7.0699594918945535e-177): 0 * [misc]none: (1.5437232098269186e+160): 1 * [misc]none: (-5.1984298768145166e+116): 4 * [misc]none: (-1.2768311469464077e-95): 0 * [misc]none: (-4.0802892718556596e+97): 4 * [misc]none: Picked alt (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) 3) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) into (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) 3) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (pow (cbrt (+ 1 N)) 3) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ (pow (cbrt (+ 1 (/ 1 N))) 3) N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 N) 1)) (cbrt (+ (/ 1 N) 1))) (* (cbrt (+ (/ 1 N) 1)) (/ 1 N))))) into (atan2 1 (+ (/ (pow (cbrt (+ 1 (/ 1 N))) 3) N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (+ (/ (pow (cbrt (+ 1 (/ 1 N))) 3) N) 1)) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (+ (/ 1 (- N)) 1))) (* (cbrt (+ (/ 1 (- N)) 1)) (/ 1 (- N)))))) into (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N))) * [misc]backup-simplify: Simplify (atan2 1 (- 1 (/ (pow (cbrt (- 1 (/ 1 N))) 3) N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow N 2)) (+ (* 1/3 N) 1)) into (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]backup-simplify: Simplify (pow N -1/3) into (pow N -1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 N) 1/3)) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 N) 1/3)) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log -1) (log (/ 1 (- N)))))))) into (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (* (+ N 1) N) 1))) * [exit]simplify: Simplified to (log (atan2 1 (+ (* (+ N 1) N) 1))) * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* (+ N 1) N) 1))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (* (+ N 1) N) 1))) * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))))) * * [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 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) (cbrt (atan2 1 (+ (* (+ N 1) N) 1)))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (* (+ N 1) N) 1))) * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* (+ N 1) N) 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* (+ N 1) N) 1)) 3) * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (* (+ N 1) N) 1))) * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * [exit]simplify: Simplified to (log (cbrt (+ 1 N))) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * [exit]simplify: Simplified to (exp (cbrt (+ 1 N))) * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (+ N 1)) (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [enter]simplify: Simplifying (cbrt (sqrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 N))) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * [exit]simplify: Simplified to (cbrt (+ 1 N)) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [exit]simplify: Simplified to (cbrt (+ 1 (pow N 3))) * [enter]simplify: Simplifying (cbrt (+ (* N N) (- (* 1 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* N N) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [exit]simplify: Simplified to (cbrt (- (* N N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (+ N 1))) (cbrt (cbrt (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (cbrt (+ 1 N))) (cbrt (cbrt (+ 1 N)))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (cbrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (cbrt (+ N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 N))) * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (+ (pow N 2) N))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (385 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (+ (* (* N N) (- 1/3 (* N 1/9))) N) (* (cbrt (+ N 1)) (cbrt (+ N 1)))) 1)) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (pow (/ 1 N) -1/3) N))) (* (* N (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (* 1/3 (cbrt (/ 1 (* N N)))) (* 1/9 (cbrt (/ 1 (pow N 5)))))))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (445 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* N (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (log N))) (* (/ 1/9 (* N N)) (pow (exp 1/3) (log N))))) 1)) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (- (+ 1 (* N 1/3)) (* (* N N) 1/9)) (* N (* (cbrt (+ N 1)) (cbrt (+ N 1))))) 1)) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3)))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (* (* (cbrt (+ N 1)) N) (cbrt (+ N 1))) (* 1/3 (cbrt (/ 1 (* N N)))))) (* (- (pow (/ 1 N) -1/3) (* 1/9 (cbrt (/ 1 (pow N 5))))) (* (* (cbrt (+ N 1)) N) (cbrt (+ N 1)))))) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (log N))) (* (/ 1/9 (* N N)) (pow (exp 1/3) (log N)))) (* (* (cbrt (+ N 1)) N) (cbrt (+ N 1)))) 1)) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (- (+ 1 (* 1/3 N)) (* 1/9 (pow N 2))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (341 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (* (cbrt (+ 1 N)) N) (* (cbrt (+ 1 N)) (- (+ 1 (* N 1/3)) (* 1/9 (* N N))))) 1)) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (- (+ (pow (/ 1 N) -1/3) (* 1/3 (pow (/ 1 (pow N 2)) 1/3))) (* 1/9 (pow (/ 1 (pow N 5)) 1/3))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ 1 (* (* (cbrt (/ 1 (* N N))) 1/3) (* (* N (cbrt (+ N 1))) (cbrt (+ N 1))))) (* (- (pow (/ 1 N) -1/3) (* 1/9 (cbrt (/ 1 (pow N 5))))) (* (* N (cbrt (+ N 1))) (cbrt (+ N 1)))))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (+ 1 (* (* (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (cbrt (+ N 1))) (* (cbrt (+ N 1)) N)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* (- (* (+ (/ 1/3 N) 1) (pow (exp 1/3) (log N))) (/ (pow (exp 1/3) (log N)) (/ (* N N) 1/9))) (* (* N (cbrt (+ N 1))) (cbrt (+ N 1)))) 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 4 * [misc]none: All alts: 4 * [misc]none: Fresh alt: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))) * [misc]none: Fresh alt: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * [misc]none: Fresh alt: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * [misc]none: Non-fresh alt: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))) * [misc]none: Fresh alt: (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (+ 1 (pow N 3))) (cbrt (+ (* N N) (- 1 N)))) N))))) * [misc]none: Fresh alt indexes * [misc]none: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))): 0 * [misc]none: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 1 * [misc]none: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 2 * [misc]none: (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (+ 1 (pow N 3))) (cbrt (+ (* N N) (- 1 N)))) N))))): 3 * [misc]none: Best fresh alt per point * [misc]none: (1.8269212298308998e+214): 1 * [misc]none: (1789977963981.046): 2 * [misc]none: (-1.7899154283931006e-62): 0 * [misc]none: (1.6281717766697912e+39): 0 * [misc]none: (3.5243641367880456e+86): 2 * [misc]none: (-3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117): 0 * [misc]none: (1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64): 0 * [misc]none: (-1.6133455999823373e+110): 1 * [misc]none: (-3.9890484917100117e+257): 1 * [misc]none: (-1.5117832743647305e-21): 0 * [misc]none: (3.928924306566786e-70): 0 * [misc]none: (5.222760300460367e-180): 0 * [misc]none: (-4.026134204708055e+160): 1 * [misc]none: (2.281413649637054e-166): 0 * [misc]none: (4.156243175149629e-181): 0 * [misc]none: (-9.231874857928986e-255): 0 * [misc]none: (-1.65054043818576e-39): 0 * [misc]none: (-1.0058709145515093e+290): 1 * [misc]none: (-4.753699147196455e-118): 0 * [misc]none: (-4.805584106456354e-282): 0 * [misc]none: (-0.15058815983267834): 0 * [misc]none: (3.714800492587865e+85): 2 * [misc]none: (-4.7089063680709754e+260): 1 * [misc]none: (4.344802098601123e-298): 0 * [misc]none: (4.508329239962989e+257): 1 * [misc]none: (-1.211264682641895e-292): 0 * [misc]none: (1.0495684746531957e+167): 1 * [misc]none: (2.721003254105153e-81): 0 * [misc]none: (-3.0671153252781823e-63): 0 * [misc]none: (-7.74362334743424e+32): 0 * [misc]none: (-2.2376851712564295e-118): 0 * [misc]none: (1.64239269831532e+149): 2 * [misc]none: (-1.576948173228613e+33): 0 * [misc]none: (9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252): 0 * [misc]none: (-7.83347153590065e-06): 0 * [misc]none: (5.521334390623478e-06): 0 * [misc]none: (-3.229654932887624e+201): 1 * [misc]none: (-9.827696191097834e-18): 0 * [misc]none: (-1.3343140776153144e-304): 0 * [misc]none: (-9.906575581428813e+195): 1 * [misc]none: (7.10957194421701e+200): 1 * [misc]none: (-4.7756557550151386e+160): 1 * [misc]none: (2.4256946179069016e+78): 1 * [misc]none: (6.207394963032113e+30): 0 * [misc]none: (-7.218692088264328e+54): 0 * [misc]none: (8.781920275794267e+61): 0 * [misc]none: (3.5618749791650757e+87): 2 * [misc]none: (4.9372470656494625e-201): 0 * [misc]none: (1.4446355009900792e+23): 1 * [misc]none: (-3.5082856951249954e-122): 0 * [misc]none: (9.917487178181935e-54): 0 * [misc]none: (-7.01049497494046e-138): 0 * [misc]none: (3.841494064694043e+276): 1 * [misc]none: (3.642806409692576e+70): 0 * [misc]none: (-3.326243684234595e+241): 1 * [misc]none: (-7.587678445119084e+247): 1 * [misc]none: (1.518078533135906e+61): 3 * [misc]none: (1.5052438492777668e+214): 1 * [misc]none: (1.5460201380138582e-108): 0 * [misc]none: (6.354924490516637e-174): 0 * [misc]none: (1.1935837539207151e+36): 0 * [misc]none: (-1.6901036379481523e+68): 0 * [misc]none: (5.558607723763576e+296): 1 * [misc]none: (-5129.844514220037): 1 * [misc]none: (-8.518839978003416e+199): 1 * [misc]none: (5.0618502549145104e+216): 1 * [misc]none: (-2.0899529309308688e-173): 0 * [misc]none: (-1.3078423091955545e+95): 1 * [misc]none: (8.726419779901594e-156): 0 * [misc]none: (1.5484790382727637e+258): 1 * [misc]none: (2.2758369496030736e+44): 0 * [misc]none: (2.7646272679971947e+138): 2 * [misc]none: (1.8029164814151534e-305): 0 * [misc]none: (-8.140052952226443e-29): 0 * [misc]none: (-3.868827374468717e+273): 1 * [misc]none: (-9.30868828487235e-242): 0 * [misc]none: (7.865810923274834e+251): 1 * [misc]none: (-1.977339157633397e-22): 0 * [misc]none: (-12396.634829186376): 2 * [misc]none: (2.0737883409435182e-60): 0 * [misc]none: (8.938208620266642e-81): 0 * [misc]none: (-1.0125994980022202e+121): 2 * [misc]none: (9.949795070357293e-13): 0 * [misc]none: (3.9753155304068916e+192): 1 * [misc]none: (-1.5751944823937151e-208): 0 * [misc]none: (-5.711690539427335e-292): 0 * [misc]none: (2.0698086438592394e+99): 3 * [misc]none: (8.149794087375897e+77): 1 * [misc]none: (1.4399038101240658e-157): 0 * [misc]none: (-0.0033935472374883513): 0 * [misc]none: (-1.873060887288803e+204): 1 * [misc]none: (6.486236446634097e-143): 0 * [misc]none: (-6.777569686362558e+23): 2 * [misc]none: (-3.976258322985434e+241): 1 * [misc]none: (1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109): 0 * [misc]none: (1.8890847145741933e+54): 0 * [misc]none: (5.334416108525731e+103): 2 * [misc]none: (8.243928876632343e+120): 2 * [misc]none: (4.915746009665795e+153): 1 * [misc]none: (-1.2716911445748643e-294): 0 * [misc]none: (-1.178199525484178e+291): 1 * [misc]none: (-2.616452914461827e+123): 2 * [misc]none: (-1.3552545859518693e-149): 0 * [misc]none: (1.0769411808120101e+237): 1 * [misc]none: (2.7212207505395135e+138): 1 * [misc]none: (-1.7192030807828345e+260): 1 * [misc]none: (-3.070590530502344e+254): 1 * [misc]none: (4.3361011341035273e+108): 2 * [misc]none: (-7.078347720981057e+296): 1 * [misc]none: (-1.1633032638785635e+290): 1 * [misc]none: (-2.3832835734274537e-77): 0 * [misc]none: (-2.0550237535049573e-58): 0 * [misc]none: (3.3652051120813564e-167): 0 * [misc]none: (-1.6071108269264857e+240): 1 * [misc]none: (2.2507296241296892e-278): 0 * [misc]none: (-8.625502649886978e-116): 0 * [misc]none: (-7.605291673043568e+86): 2 * [misc]none: (1.3555181915244097e+58): 0 * [misc]none: (5.535572593369702e+234): 1 * [misc]none: (1.1281253812481777e-05): 1 * [misc]none: (-7.875416682732296e+153): 1 * [misc]none: (2.953059473116585e-77): 0 * [misc]none: (-1.7943678282584236e+305): 1 * [misc]none: (-8.253144371362014e+269): 1 * [misc]none: (1.6962188327979892e+156): 1 * [misc]none: (-3.0357430466827192e+202): 1 * [misc]none: (7.526837789610841e+223): 1 * [misc]none: (-1.0160940285787676e+119): 2 * [misc]none: (6.853656747763464e-298): 0 * [misc]none: (1.5907488733120222e-68): 0 * [misc]none: (-4.474252265840201e+73): 1 * [misc]none: (1.3833425279814779e+61): 0 * [misc]none: (-4.807303049624254e-15): 0 * [misc]none: (1.8641906072853124e-122): 0 * [misc]none: (-3.0274687809727364e-300): 0 * [misc]none: (7.50358512361513e-69): 0 * [misc]none: (1.5464847509065313e+116): 1 * [misc]none: (-7.218711869488973e-243): 0 * [misc]none: (-587327855578134.2): 0 * [misc]none: (-3.1846212263600816e-18): 0 * [misc]none: (4.242186305736945e+277): 1 * [misc]none: (7.288958178428041e-256): 0 * [misc]none: (5.409384226193089e+76): 0 * [misc]none: (-2.319372457341872e-287): 0 * [misc]none: (4.187380162585325e-193): 0 * [misc]none: (-1.32843112383632e+222): 1 * [misc]none: (-1.1299275128362188e+120): 2 * [misc]none: (6.659322155044152e+223): 1 * [misc]none: (-2.5903554766194963e+287): 1 * [misc]none: (-7.84381588726745e-44): 0 * [misc]none: (3.9248553939523704e-204): 0 * [misc]none: (-2.4810437085982083e-110): 0 * [misc]none: (2.623583837461381e+148): 2 * [misc]none: (-4.810065069789271e-38): 0 * [misc]none: (1.6579472731822137e+209): 1 * [misc]none: (7.148125858281279e-128): 0 * [misc]none: (-1.1410424941898917e-307): 0 * [misc]none: (-7.884101440606108e+43): 0 * [misc]none: (3.2782900783384907e+260): 1 * [misc]none: (1.2654023023741973e+87): 2 * [misc]none: (5.3297020297971135e-251): 0 * [misc]none: (4.360233270161975e+69): 0 * [misc]none: (-1.2973858626691246e+248): 1 * [misc]none: (-1.3038350073216301e+175): 1 * [misc]none: (6.186245288104366e-177): 0 * [misc]none: (4.0009214940503626e-296): 0 * [misc]none: (-3.1670246594447204e-244): 0 * [misc]none: (-4.944977315465704e+134): 2 * [misc]none: (3.7946864491882027e-174): 0 * [misc]none: (7.967379897939584e-266): 0 * [misc]none: (5.338353252944482e+295): 1 * [misc]none: (2.475773952907049e-271): 0 * [misc]none: (5.261531518469373e-290): 0 * [misc]none: (2.555657911489638e+100): 2 * [misc]none: (2.1545947154827896e+229): 1 * [misc]none: (2.6209188754640728e+107): 2 * [misc]none: (1.0367654190214238e+155): 1 * [misc]none: (7.510167254913154e-75): 0 * [misc]none: (-1.879438806525893e-17): 0 * [misc]none: (-2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50): 0 * [misc]none: (5.462119320563526e+16): 3 * [misc]none: (-7.461408405072584e-11): 0 * [misc]none: (2.819362408294866e+247): 1 * [misc]none: (5.576422555370537e+229): 1 * [misc]none: (-1.2634592988240547e+184): 1 * [misc]none: (-2.046312445248254e+167): 1 * [misc]none: (-2.5768688170454604e-166): 0 * [misc]none: (-2.3695265370701153e-160): 0 * [misc]none: (5.627370989949808e+102): 2 * [misc]none: (-1.1307817728525e-192): 0 * [misc]none: (2.729599448498006e-142): 0 * [misc]none: (1.268161462925599e-223): 0 * [misc]none: (1.8558602765266175e+154): 1 * [misc]none: (8.010626774664954e-118): 0 * [misc]none: (3.197294045188449e-213): 0 * [misc]none: (-3.8061627632242695e+220): 1 * [misc]none: (1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277): 1 * [misc]none: (-1.4026731237337527e+299): 1 * [misc]none: (1.2309532522175715e-227): 0 * [misc]none: (5.849070875002102e-168): 0 * [misc]none: (-1.8322924530722165e+176): 1 * [misc]none: (2.6481468427206757e-89): 0 * [misc]none: (1.8304705420573128e+300): 1 * [misc]none: (5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102): 1 * [misc]none: (1.3917287586797797e+215): 1 * [misc]none: (-1.9484215729108895e+208): 1 * [misc]none: (2.7534373406057187e+274): 1 * [misc]none: (-6.754823491493555e-24): 0 * [misc]none: (-2.4266153803656513e-110): 0 * [misc]none: (2.802805856656922e+299): 1 * [misc]none: (3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259): 1 * [misc]none: (-5.821161027096475e-49): 0 * [misc]none: (4.3906960513010925e-288): 0 * [misc]none: (9.735553079850294e-195): 0 * [misc]none: (-2.4642361000377723e+179): 1 * [misc]none: (-223338690.5739434): 2 * [misc]none: (2.617385806499904e-208): 0 * [misc]none: (6.454193966659965e-12): 0 * [misc]none: (1.2843486366644783e+218): 1 * [misc]none: (1.6598105327534946e+245): 1 * [misc]none: (-2.2565106546246065e+111): 2 * [misc]none: (-8.921793657844595e+241): 1 * [misc]none: (-1.2504926677350782e+286): 1 * [misc]none: (2142884768423.9766): 2 * [misc]none: (-1.0342577969053837e-127): 0 * [misc]none: (1.1325567110922881e-222): 0 * [misc]none: (6.352964037059704e-48): 0 * [misc]none: (2.0675888684205106e-37): 0 * [misc]none: (3.9955309460256863e-193): 0 * [misc]none: (-6.802352065741283e-237): 0 * [misc]none: (1.7860466700053246e+179): 1 * [misc]none: (-2.1540953112813662e-178): 0 * [misc]none: (-1.1984894069610523e-255): 0 * [misc]none: (2.286904329311883e+176): 1 * [misc]none: (-3.0869297245392077e+307): 1 * [misc]none: (-7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269): 1 * [misc]none: (-1.981435962910265e-248): 0 * [misc]none: (1.434478809327731e-162): 0 * [misc]none: (1.7673263201240207e+200): 1 * [misc]none: (4.1358060479750856e+163): 1 * [misc]none: (2.77377213114978e+181): 1 * [misc]none: (-2.5233739143143128e-166): 0 * [misc]none: (7.0699594918945535e-177): 0 * [misc]none: (1.5437232098269186e+160): 1 * [misc]none: (-5.1984298768145166e+116): 1 * [misc]none: (-1.2768311469464077e-95): 0 * [misc]none: (-4.0802892718556596e+97): 2 * [misc]none: All alt indexes * [misc]none: (λ (N) (atan2 1 (+ 1 (/ (* (+ (pow N 3) (pow 1 3)) N) (+ (* N N) (- (* 1 1) (* N 1))))))): 0 * [misc]none: (λ (N) (* (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 1 * [misc]none: (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))): 2 * [misc]none: (λ (N) (atan2 1 (+ 1 (* (+ N 1) N)))): 3 * [misc]none: (λ (N) (atan2 1 (+ 1 (* (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (/ (cbrt (+ 1 (pow N 3))) (cbrt (+ (* N N) (- 1 N)))) N))))): 4 * [misc]none: Best alt per point * [misc]none: (1.8269212298308998e+214): 1 * [misc]none: (1789977963981.046): 2 * [misc]none: (-1.7899154283931006e-62): 0 * [misc]none: (1.6281717766697912e+39): 0 * [misc]none: (3.5243641367880456e+86): 3 * [misc]none: (-3.0008256032154172e-176): 0 * [misc]none: (-7.986330642950897e-117): 0 * [misc]none: (1.1611754700502491e-55): 0 * [misc]none: (8.728226238434233e-64): 0 * [misc]none: (-1.6133455999823373e+110): 1 * [misc]none: (-3.9890484917100117e+257): 1 * [misc]none: (-1.5117832743647305e-21): 0 * [misc]none: (3.928924306566786e-70): 0 * [misc]none: (5.222760300460367e-180): 0 * [misc]none: (-4.026134204708055e+160): 1 * [misc]none: (2.281413649637054e-166): 0 * [misc]none: (4.156243175149629e-181): 0 * [misc]none: (-9.231874857928986e-255): 0 * [misc]none: (-1.65054043818576e-39): 0 * [misc]none: (-1.0058709145515093e+290): 1 * [misc]none: (-4.753699147196455e-118): 0 * [misc]none: (-4.805584106456354e-282): 0 * [misc]none: (-0.15058815983267834): 0 * [misc]none: (3.714800492587865e+85): 2 * [misc]none: (-4.7089063680709754e+260): 1 * [misc]none: (4.344802098601123e-298): 0 * [misc]none: (4.508329239962989e+257): 1 * [misc]none: (-1.211264682641895e-292): 0 * [misc]none: (1.0495684746531957e+167): 1 * [misc]none: (2.721003254105153e-81): 0 * [misc]none: (-3.0671153252781823e-63): 0 * [misc]none: (-7.74362334743424e+32): 0 * [misc]none: (-2.2376851712564295e-118): 0 * [misc]none: (1.64239269831532e+149): 3 * [misc]none: (-1.576948173228613e+33): 0 * [misc]none: (9.680698928511806e-32): 0 * [misc]none: (1.954959341132994e-252): 0 * [misc]none: (-7.83347153590065e-06): 0 * [misc]none: (5.521334390623478e-06): 0 * [misc]none: (-3.229654932887624e+201): 1 * [misc]none: (-9.827696191097834e-18): 0 * [misc]none: (-1.3343140776153144e-304): 0 * [misc]none: (-9.906575581428813e+195): 1 * [misc]none: (7.10957194421701e+200): 1 * [misc]none: (-4.7756557550151386e+160): 1 * [misc]none: (2.4256946179069016e+78): 3 * [misc]none: (6.207394963032113e+30): 0 * [misc]none: (-7.218692088264328e+54): 0 * [misc]none: (8.781920275794267e+61): 0 * [misc]none: (3.5618749791650757e+87): 3 * [misc]none: (4.9372470656494625e-201): 0 * [misc]none: (1.4446355009900792e+23): 1 * [misc]none: (-3.5082856951249954e-122): 0 * [misc]none: (9.917487178181935e-54): 0 * [misc]none: (-7.01049497494046e-138): 0 * [misc]none: (3.841494064694043e+276): 1 * [misc]none: (3.642806409692576e+70): 0 * [misc]none: (-3.326243684234595e+241): 1 * [misc]none: (-7.587678445119084e+247): 1 * [misc]none: (1.518078533135906e+61): 4 * [misc]none: (1.5052438492777668e+214): 1 * [misc]none: (1.5460201380138582e-108): 0 * [misc]none: (6.354924490516637e-174): 0 * [misc]none: (1.1935837539207151e+36): 0 * [misc]none: (-1.6901036379481523e+68): 0 * [misc]none: (5.558607723763576e+296): 1 * [misc]none: (-5129.844514220037): 1 * [misc]none: (-8.518839978003416e+199): 1 * [misc]none: (5.0618502549145104e+216): 1 * [misc]none: (-2.0899529309308688e-173): 0 * [misc]none: (-1.3078423091955545e+95): 1 * [misc]none: (8.726419779901594e-156): 0 * [misc]none: (1.5484790382727637e+258): 1 * [misc]none: (2.2758369496030736e+44): 0 * [misc]none: (2.7646272679971947e+138): 3 * [misc]none: (1.8029164814151534e-305): 0 * [misc]none: (-8.140052952226443e-29): 0 * [misc]none: (-3.868827374468717e+273): 1 * [misc]none: (-9.30868828487235e-242): 0 * [misc]none: (7.865810923274834e+251): 1 * [misc]none: (-1.977339157633397e-22): 0 * [misc]none: (-12396.634829186376): 2 * [misc]none: (2.0737883409435182e-60): 0 * [misc]none: (8.938208620266642e-81): 0 * [misc]none: (-1.0125994980022202e+121): 2 * [misc]none: (9.949795070357293e-13): 0 * [misc]none: (3.9753155304068916e+192): 1 * [misc]none: (-1.5751944823937151e-208): 0 * [misc]none: (-5.711690539427335e-292): 0 * [misc]none: (2.0698086438592394e+99): 4 * [misc]none: (8.149794087375897e+77): 3 * [misc]none: (1.4399038101240658e-157): 0 * [misc]none: (-0.0033935472374883513): 0 * [misc]none: (-1.873060887288803e+204): 1 * [misc]none: (6.486236446634097e-143): 0 * [misc]none: (-6.777569686362558e+23): 2 * [misc]none: (-3.976258322985434e+241): 1 * [misc]none: (1.0713666056080785e-84): 0 * [misc]none: (-1.4481584190101499e-109): 0 * [misc]none: (1.8890847145741933e+54): 0 * [misc]none: (5.334416108525731e+103): 3 * [misc]none: (8.243928876632343e+120): 3 * [misc]none: (4.915746009665795e+153): 3 * [misc]none: (-1.2716911445748643e-294): 0 * [misc]none: (-1.178199525484178e+291): 1 * [misc]none: (-2.616452914461827e+123): 3 * [misc]none: (-1.3552545859518693e-149): 0 * [misc]none: (1.0769411808120101e+237): 1 * [misc]none: (2.7212207505395135e+138): 1 * [misc]none: (-1.7192030807828345e+260): 1 * [misc]none: (-3.070590530502344e+254): 1 * [misc]none: (4.3361011341035273e+108): 2 * [misc]none: (-7.078347720981057e+296): 1 * [misc]none: (-1.1633032638785635e+290): 1 * [misc]none: (-2.3832835734274537e-77): 0 * [misc]none: (-2.0550237535049573e-58): 0 * [misc]none: (3.3652051120813564e-167): 0 * [misc]none: (-1.6071108269264857e+240): 1 * [misc]none: (2.2507296241296892e-278): 0 * [misc]none: (-8.625502649886978e-116): 0 * [misc]none: (-7.605291673043568e+86): 2 * [misc]none: (1.3555181915244097e+58): 0 * [misc]none: (5.535572593369702e+234): 1 * [misc]none: (1.1281253812481777e-05): 1 * [misc]none: (-7.875416682732296e+153): 1 * [misc]none: (2.953059473116585e-77): 0 * [misc]none: (-1.7943678282584236e+305): 1 * [misc]none: (-8.253144371362014e+269): 1 * [misc]none: (1.6962188327979892e+156): 1 * [misc]none: (-3.0357430466827192e+202): 1 * [misc]none: (7.526837789610841e+223): 1 * [misc]none: (-1.0160940285787676e+119): 3 * [misc]none: (6.853656747763464e-298): 0 * [misc]none: (1.5907488733120222e-68): 0 * [misc]none: (-4.474252265840201e+73): 1 * [misc]none: (1.3833425279814779e+61): 0 * [misc]none: (-4.807303049624254e-15): 0 * [misc]none: (1.8641906072853124e-122): 0 * [misc]none: (-3.0274687809727364e-300): 0 * [misc]none: (7.50358512361513e-69): 0 * [misc]none: (1.5464847509065313e+116): 3 * [misc]none: (-7.218711869488973e-243): 0 * [misc]none: (-587327855578134.2): 0 * [misc]none: (-3.1846212263600816e-18): 0 * [misc]none: (4.242186305736945e+277): 1 * [misc]none: (7.288958178428041e-256): 0 * [misc]none: (5.409384226193089e+76): 0 * [misc]none: (-2.319372457341872e-287): 0 * [misc]none: (4.187380162585325e-193): 0 * [misc]none: (-1.32843112383632e+222): 1 * [misc]none: (-1.1299275128362188e+120): 2 * [misc]none: (6.659322155044152e+223): 1 * [misc]none: (-2.5903554766194963e+287): 1 * [misc]none: (-7.84381588726745e-44): 0 * [misc]none: (3.9248553939523704e-204): 0 * [misc]none: (-2.4810437085982083e-110): 0 * [misc]none: (2.623583837461381e+148): 2 * [misc]none: (-4.810065069789271e-38): 0 * [misc]none: (1.6579472731822137e+209): 1 * [misc]none: (7.148125858281279e-128): 0 * [misc]none: (-1.1410424941898917e-307): 0 * [misc]none: (-7.884101440606108e+43): 0 * [misc]none: (3.2782900783384907e+260): 1 * [misc]none: (1.2654023023741973e+87): 3 * [misc]none: (5.3297020297971135e-251): 0 * [misc]none: (4.360233270161975e+69): 0 * [misc]none: (-1.2973858626691246e+248): 1 * [misc]none: (-1.3038350073216301e+175): 1 * [misc]none: (6.186245288104366e-177): 0 * [misc]none: (4.0009214940503626e-296): 0 * [misc]none: (-3.1670246594447204e-244): 0 * [misc]none: (-4.944977315465704e+134): 2 * [misc]none: (3.7946864491882027e-174): 0 * [misc]none: (7.967379897939584e-266): 0 * [misc]none: (5.338353252944482e+295): 1 * [misc]none: (2.475773952907049e-271): 0 * [misc]none: (5.261531518469373e-290): 0 * [misc]none: (2.555657911489638e+100): 3 * [misc]none: (2.1545947154827896e+229): 1 * [misc]none: (2.6209188754640728e+107): 2 * [misc]none: (1.0367654190214238e+155): 1 * [misc]none: (7.510167254913154e-75): 0 * [misc]none: (-1.879438806525893e-17): 0 * [misc]none: (-2.2458375637103902e-132): 0 * [misc]none: (-9.791675790911144e+50): 0 * [misc]none: (5.462119320563526e+16): 3 * [misc]none: (-7.461408405072584e-11): 0 * [misc]none: (2.819362408294866e+247): 1 * [misc]none: (5.576422555370537e+229): 1 * [misc]none: (-1.2634592988240547e+184): 1 * [misc]none: (-2.046312445248254e+167): 1 * [misc]none: (-2.5768688170454604e-166): 0 * [misc]none: (-2.3695265370701153e-160): 0 * [misc]none: (5.627370989949808e+102): 2 * [misc]none: (-1.1307817728525e-192): 0 * [misc]none: (2.729599448498006e-142): 0 * [misc]none: (1.268161462925599e-223): 0 * [misc]none: (1.8558602765266175e+154): 1 * [misc]none: (8.010626774664954e-118): 0 * [misc]none: (3.197294045188449e-213): 0 * [misc]none: (-3.8061627632242695e+220): 1 * [misc]none: (1.4601547257514377e-37): 0 * [misc]none: (6.851358071879168e+277): 1 * [misc]none: (-1.4026731237337527e+299): 1 * [misc]none: (1.2309532522175715e-227): 0 * [misc]none: (5.849070875002102e-168): 0 * [misc]none: (-1.8322924530722165e+176): 1 * [misc]none: (2.6481468427206757e-89): 0 * [misc]none: (1.8304705420573128e+300): 1 * [misc]none: (5.162437418074754e-216): 0 * [misc]none: (5.884862647618943e+102): 1 * [misc]none: (1.3917287586797797e+215): 1 * [misc]none: (-1.9484215729108895e+208): 1 * [misc]none: (2.7534373406057187e+274): 1 * [misc]none: (-6.754823491493555e-24): 0 * [misc]none: (-2.4266153803656513e-110): 0 * [misc]none: (2.802805856656922e+299): 1 * [misc]none: (3267744482859.4893): 0 * [misc]none: (-2.125403821003621e+259): 1 * [misc]none: (-5.821161027096475e-49): 0 * [misc]none: (4.3906960513010925e-288): 0 * [misc]none: (9.735553079850294e-195): 0 * [misc]none: (-2.4642361000377723e+179): 1 * [misc]none: (-223338690.5739434): 2 * [misc]none: (2.617385806499904e-208): 0 * [misc]none: (6.454193966659965e-12): 0 * [misc]none: (1.2843486366644783e+218): 1 * [misc]none: (1.6598105327534946e+245): 1 * [misc]none: (-2.2565106546246065e+111): 3 * [misc]none: (-8.921793657844595e+241): 1 * [misc]none: (-1.2504926677350782e+286): 1 * [misc]none: (2142884768423.9766): 2 * [misc]none: (-1.0342577969053837e-127): 0 * [misc]none: (1.1325567110922881e-222): 0 * [misc]none: (6.352964037059704e-48): 0 * [misc]none: (2.0675888684205106e-37): 0 * [misc]none: (3.9955309460256863e-193): 0 * [misc]none: (-6.802352065741283e-237): 0 * [misc]none: (1.7860466700053246e+179): 1 * [misc]none: (-2.1540953112813662e-178): 0 * [misc]none: (-1.1984894069610523e-255): 0 * [misc]none: (2.286904329311883e+176): 1 * [misc]none: (-3.0869297245392077e+307): 1 * [misc]none: (-7.242911167116891e-28): 0 * [misc]none: (-3.652961257321153e+269): 1 * [misc]none: (-1.981435962910265e-248): 0 * [misc]none: (1.434478809327731e-162): 0 * [misc]none: (1.7673263201240207e+200): 1 * [misc]none: (4.1358060479750856e+163): 1 * [misc]none: (2.77377213114978e+181): 1 * [misc]none: (-2.5233739143143128e-166): 0 * [misc]none: (7.0699594918945535e-177): 0 * [misc]none: (1.5437232098269186e+160): 1 * [misc]none: (-5.1984298768145166e+116): 3 * [misc]none: (-1.2768311469464077e-95): 0 * [misc]none: (-4.0802892718556596e+97): 3 * [misc]none: Picked alt (λ (N) (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) into (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) into (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N)))))) into (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ N 1) N))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ N 1) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (pow N 2) N))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 N) 1) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) into (atan2 1 (+ 1 (+ (/ 1 (pow N 2)) (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (+ (/ 1 (pow (/ 1 N) 2)) (/ 1 (/ 1 N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * [misc]approximate: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]taylor: Taking taylor expansion of (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) in N * [misc]backup-simplify: Simplify (atan2 1 (+ 1 (* (+ (/ 1 (- N)) 1) (/ 1 (- N))))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) into (atan2 1 (- (+ 1 (/ 1 (pow N 2))) (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (- (+ 1 (/ 1 (pow (/ 1 (- N)) 2))) (/ 1 (/ 1 (- N))))) into (atan2 1 (+ 1 (+ (pow N 2) N))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N))))) (cbrt (sqrt (atan2 1 (+ (+ N 1) (* N N)))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (* (atan2 1 (+ (* N N) (+ N 1))) (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (+ (+ N 1) (* N N))))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (+ (* N N) (+ N 1))))) * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (log (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (exp (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) (cbrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (+ (* N N) (+ N 1)))) (cbrt (atan2 1 (+ (* N N) (+ N 1))))) * [enter]simplify: Simplifying (cbrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (cbrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (+ 1 (* (+ N 1) N))) (atan2 1 (+ 1 (* (+ N 1) N)))) (atan2 1 (+ 1 (* (+ N 1) N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) * [exit]simplify: Simplified to (pow (atan2 1 (+ (* N N) (+ N 1))) 3) * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [enter]simplify: Simplifying (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) * * [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 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * [exit]simplify: Simplified to (sqrt (atan2 1 (+ (+ N 1) (* N N)))) * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (* (+ N 1) N)))) (sqrt (atan2 1 (+ 1 (+ (pow N 2) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (* N N) (+ N 1))) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (+ 1 (+ (pow N 2) N)))) (sqrt (atan2 1 (+ 1 (* (+ N 1) N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (atan2 1 (+ (+ N 1) (* N N))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (- (atan (+ N 1)) (atan N)) +nan.0)) , with alts (#) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs