* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 8 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 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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(-1.4801509312754967e-61): 0 * [misc]none: (-5.163900824605852e+32): 0 * [misc]none: (1.430295312965348e-149): 0 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 0 * [misc]none: (-5.232709143225968e-98): 0 * [misc]none: (-2.6904647286120434e+306): 0 * [misc]none: (-2.4014893155423993e+35): 0 * [misc]none: (1.4966275592591335e-123): 0 * [misc]none: (6.384545099874781e-168): 0 * [misc]none: (-1.9863653303691194e-296): 0 * [misc]none: (-1.5110806788081036e+47): 0 * [misc]none: (4.232269734875141e-205): 0 * [misc]none: (4.1020469956028986e+24): 0 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (-4.725142043601307e-47): 0 * [misc]none: (2.68866513359689e-174): 0 * [misc]none: (8.96636707501737e-13): 0 * [misc]none: (-2.3580830331388543e-23): 0 * [misc]none: (1.6082525618587168e-259): 0 * [misc]none: (2.7230496615379425e-188): 0 * [misc]none: (7.15832835948139e-179): 0 * [misc]none: (-3.386296042382532e-190): 0 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (-7.407998779781806e-33): 0 * [misc]none: (-7.014935371531484e-98): 0 * [misc]none: (-2.580522918977788e+184): 0 * [misc]none: (8.990843056511833e-32): 0 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 0 * [misc]none: (-1.0323836290065946e-292): 0 * [misc]none: (-1.1379474227414984e+157): 0 * [misc]none: (-4.747329706134133e-300): 0 * [misc]none: (-2.266131068741548e-232): 0 * [misc]none: (6.354961149716869e-97): 0 * [misc]none: (2.8293820765322485e-296): 0 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (-503507.16469484643): 0 * [misc]none: (-1.9250288775511552e-19): 0 * [misc]none: (9.871143682146977e-239): 0 * [misc]none: (-1.9809585244792104e-221): 0 * [misc]none: (-5.324127388080003e+141): 0 * [misc]none: (5.123849747663666e+133): 0 * [misc]none: (4.007761912625816e-148): 0 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (-7.33347091133757e-103): 0 * [misc]none: (-3.967500572333352e+95): 0 * [misc]none: (-8.002576117532625e+293): 0 * [misc]none: (-344.7442723289036): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (-3.8897511496224356e+161): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (-2.9971297913067123e-296): 0 * [misc]none: (1.120554825473697e-298): 0 * [misc]none: (7.175557259725409e-49): 0 * [misc]none: (4.4800031186106794e-70): 0 * [misc]none: (-1.3609788364339258e+82): 0 * [misc]none: (2.5265807746711182e-73): 0 * [misc]none: (1.4440898226736705e-53): 0 * [misc]none: (-4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279): 0 * [misc]none: (2.3912903471184356e-134): 0 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (-2.8955398952451435e+131): 0 * [misc]none: (1.5780761566396397e+125): 0 * [misc]none: (1.534059348183312e-189): 0 * [misc]none: (2.8419420301747055e+90): 0 * [misc]none: (-2.318158899615234e+28): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (-6.588522440277298e+124): 0 * [misc]none: (-8.890171102288788e+241): 0 * [misc]none: (-4.517606044160453e-29): 0 * [misc]none: (-2.0229301807644786e+90): 0 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (-2.0525626505030474e-205): 0 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (-3.517237475307537e+70): 0 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (-1.2386076426807104e+281): 0 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (-6.552213310391902e+218): 0 * [misc]none: (-2.461870212435176e+181): 0 * [misc]none: (-9.04145577094214e-51): 0 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (-8.87002524437924e-05): 0 * [misc]none: (-9.534297923953677e-238): 0 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (-4.82948997845691e+115): 0 * [misc]none: (-2.844669102107347e+110): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (-6.631482835790804e+75): 0 * [misc]none: (-2.927893218629978e+198): 0 * [misc]none: (-5.425958198218161e-146): 0 * [misc]none: (-5.212281525360505e+119): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (-6.155236203506664e+276): 0 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (-9.779940061204298e+60): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (-1.5172504298350683e-122): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (-6.206729553564092e+301): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (-8.795577755360774e-193): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (-9.304691570184222e+30): 0 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (-6.08679419260233e+77): 0 * [misc]none: (-2.864119470500123e-178): 0 * [misc]none: (-4.976800097081315e-07): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (-7.146083996729688e+199): 0 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (-1.2254396192804965e-192): 0 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (-1.0237963707243293e+257): 0 * [misc]none: (-2.376464365888854e-78): 0 * [misc]none: (-3.222114505301457e-163): 0 * [misc]none: (-7.76766480776823e+37): 0 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (-6.191205901832185e+168): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (-2.318802051809187e-21): 0 * [misc]none: (-2.362056093523898e-236): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (-1.410046620426318e-213): 0 * [misc]none: (-4.423020421030483e+291): 0 * [misc]none: (-3.178469867925502e-246): 0 * [misc]none: (-7.447731371021966e+71): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (-1.6398756117817188e+244): 0 * [misc]none: (-5.198066934157678e+220): 0 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (-7.605311329977112e+177): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (-1.3989503218776358e-06): 0 * [misc]none: (4.664141571059094e-118): 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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] 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: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [enter]simplify: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan 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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [enter]simplify: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (atan (+ N 1))) (cbrt (atan (+ N 1)))) (cbrt (atan (+ N 1))) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [enter]simplify: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (atan N) (atan N)) * [exit]simplify: Simplified to (- (atan N) (atan N)) * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [enter]simplify: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan 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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (sqrt (atan N)) (sqrt (atan N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [enter]simplify: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (atan (+ N 1))) (sqrt (atan (+ N 1))) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ 1 N)) (atan N)) * [enter]simplify: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (atan N) (atan N)) * [exit]simplify: Simplified to (- (atan N) (atan N)) * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ N 1)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [enter]simplify: Simplifying (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan 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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ N 1)) (- (* (sqrt (atan N)) (sqrt (atan N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [enter]simplify: Simplifying (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (atan (+ N 1)) (- (* (atan N) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [exit]simplify: Simplified to (- (atan (+ N 1)) (atan N)) * [enter]simplify: Simplifying (fma (- (atan N)) 1 (* (atan N) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (atan N) (atan N)) * [exit]simplify: Simplified to (- (atan N) (atan N)) * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (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 (expm1 (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (expm1 (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (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 (log1p (- (atan (+ 1 N)) (atan N))) * [exit]simplify: Simplified to (log1p (- (atan (+ 1 N)) (atan N))) * * * * [misc]progress: [ 12 / 32 ] 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: [ 13 / 32 ] 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: [ 14 / 32 ] 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: [ 15 / 32 ] 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 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ N 1) N 1) * [exit]simplify: Simplified to (fma (+ N 1) N 1) * * * * [misc]progress: [ 16 / 32 ] 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: [ 17 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 32 ] 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: [ 19 / 32 ] 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: [ 20 / 32 ] 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: [ 21 / 32 ] 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 (89 enodes) * * [misc]simplify: iters left: 2 (309 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: [ 22 / 32 ] 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: [ 23 / 32 ] 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 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (fma (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N))) (* (* (atan N) (atan N)) (- (atan N)))) * [exit]simplify: Simplified to (fma (atan (+ 1 N)) (* (atan (+ 1 N)) (atan (+ 1 N))) (* (* (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 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (fma (atan N) (+ (atan N) (atan (+ 1 N))) (* (atan (+ 1 N)) (atan (+ 1 N)))) * [exit]simplify: Simplified to (fma (atan N) (+ (atan N) (atan (+ 1 N))) (* (atan (+ 1 N)) (atan (+ 1 N)))) * * * * [misc]progress: [ 24 / 32 ] 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: [ 25 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 32 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 N)))) * [exit]simplify: Simplified to (* (- (atan (+ 1 N)) (atan N)) (+ (atan N) (atan (+ 1 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: [ 27 / 32 ] 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: [ 28 / 32 ] 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: [ 29 / 32 ] 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: [ 30 / 32 ] 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: [ 31 / 32 ] 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: [ 32 / 32 ] 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: Fresh alt: (λ (N) (atan2 1 (fma (+ N 1) N 1))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (atan2 1 (fma (+ N 1) N 1))): 0 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44): 0 * [misc]none: (-1.849105607217708e-205): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (-8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (-1.2294460237484715e+92): 0 * [misc]none: (-9.903617261398821e+48): 0 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (-5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (-2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (-425.15997261130053): 0 * [misc]none: (-1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (-1.2086624476009651e-200): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222): 0 * [misc]none: (-4.6390246315423324e+36): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (-7.191398511280425e-59): 0 * [misc]none: (-2.3255237224962407e-56): 0 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 0 * [misc]none: (1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 0 * [misc]none: (3.0310347416413137e-258): 0 * [misc]none: (-1.1043473204259838e-123): 0 * [misc]none: (-2.06284826271339e+143): 0 * [misc]none: (-7.24722487096989e+250): 0 * [misc]none: (-2.2793842908096357e+72): 0 * [misc]none: (-8.124520965103743e+145): 0 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: 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(-4.517606044160453e-29): 0 * [misc]none: (-2.0229301807644786e+90): 0 * [misc]none: (4.588817619865515e-83): 0 * [misc]none: (6.908716276621429e+42): 0 * [misc]none: (1.074034252081928e-96): 0 * [misc]none: (-2.0525626505030474e-205): 0 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (-3.517237475307537e+70): 0 * [misc]none: (1.6570172448601563e-137): 0 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (-1.2386076426807104e+281): 0 * [misc]none: (4.0623211606609595e-228): 0 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (-6.552213310391902e+218): 0 * [misc]none: (-2.461870212435176e+181): 0 * [misc]none: (-9.04145577094214e-51): 0 * [misc]none: (6.730955893129463e-197): 0 * [misc]none: (6.724679859609688e-169): 0 * [misc]none: (1.4230714989143866e-75): 0 * [misc]none: (3.493084834288097e-125): 0 * [misc]none: (-8.87002524437924e-05): 0 * [misc]none: (-9.534297923953677e-238): 0 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (-4.82948997845691e+115): 0 * [misc]none: (-2.844669102107347e+110): 0 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (-6.631482835790804e+75): 0 * [misc]none: (-2.927893218629978e+198): 0 * [misc]none: (-5.425958198218161e-146): 0 * [misc]none: (-5.212281525360505e+119): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (-6.155236203506664e+276): 0 * [misc]none: (3.2574885636926814e-211): 0 * [misc]none: (-9.779940061204298e+60): 0 * [misc]none: (1.3680169753287455e-53): 0 * [misc]none: (-1.5172504298350683e-122): 0 * [misc]none: (2.2957389429922706e-176): 0 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (-6.206729553564092e+301): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (-8.795577755360774e-193): 0 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (-9.304691570184222e+30): 0 * [misc]none: (1.9963004369674967e-80): 0 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 0 * [misc]none: (1.6707151526371295e-190): 0 * [misc]none: (5.1990169359560766e-256): 0 * [misc]none: (-6.08679419260233e+77): 0 * [misc]none: (-2.864119470500123e-178): 0 * [misc]none: (-4.976800097081315e-07): 0 * [misc]none: (8.044445972631143e-28): 0 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 0 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (-7.146083996729688e+199): 0 * [misc]none: (8.361834195928021e-55): 0 * [misc]none: (7.311006071291519e-101): 0 * [misc]none: (-1.2254396192804965e-192): 0 * [misc]none: (1.782256728493473e+35): 0 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (-1.0237963707243293e+257): 0 * [misc]none: (-2.376464365888854e-78): 0 * [misc]none: (-3.222114505301457e-163): 0 * [misc]none: (-7.76766480776823e+37): 0 * [misc]none: (8.382633428275648e-297): 0 * [misc]none: (-6.191205901832185e+168): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 0 * [misc]none: (2.6679523035634032e-104): 0 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 0 * [misc]none: (-2.318802051809187e-21): 0 * [misc]none: (-2.362056093523898e-236): 0 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 0 * [misc]none: (-1.410046620426318e-213): 0 * [misc]none: (-4.423020421030483e+291): 0 * [misc]none: (-3.178469867925502e-246): 0 * [misc]none: (-7.447731371021966e+71): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (-1.6398756117817188e+244): 0 * [misc]none: (-5.198066934157678e+220): 0 * [misc]none: (5.0588074473585105e-110): 0 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 0 * [misc]none: (4.416557773834991e-25): 0 * [misc]none: (-7.605311329977112e+177): 0 * [misc]none: (3.0442880854679596e-31): 0 * [misc]none: (-1.3989503218776358e-06): 0 * [misc]none: (4.664141571059094e-118): 0 * [misc]none: Picked alt (λ (N) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 2 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 3 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 5 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 6 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 7 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 8 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 9 / 12 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 11 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 12 / 12 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * [misc]none: Fresh alts: 2 * [misc]none: All alts: 3 * [misc]none: Fresh alt: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [misc]none: Fresh alt: (λ (N) (* (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * [misc]none: Non-fresh alt: (λ (N) (atan2 1 (fma (+ N 1) N 1))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))): 0 * [misc]none: (λ (N) (* (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (atan2 1 (fma (+ N 1) N 1))))): 1 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273): 0 * [misc]none: (2.654414227492494e+20): 0 * [misc]none: (1.7090726067739176e-227): 0 * [misc]none: (7.696162327562603e-152): 0 * [misc]none: (-1.7235772956324157e+44): 1 * [misc]none: (-1.849105607217708e-205): 0 * [misc]none: (5.106850318067203e-223): 0 * [misc]none: (-8.776422694060002e-191): 0 * [misc]none: (-1.0339801069916732e-122): 0 * [misc]none: (1.3381086996667414e-215): 0 * [misc]none: (-1.2294460237484715e+92): 0 * [misc]none: (-9.903617261398821e+48): 1 * [misc]none: (1.0224180420716733e-52): 0 * [misc]none: (-5.2868600650398754e+73): 1 * [misc]none: (9.705038014433044e-175): 0 * [misc]none: (-2.2377664482363495e-145): 0 * [misc]none: (-6.863248801263982e-282): 0 * [misc]none: (6.028770352690154e-151): 0 * [misc]none: (-425.15997261130053): 0 * [misc]none: (-1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (-1.2086624476009651e-200): 0 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222): 0 * [misc]none: (-4.6390246315423324e+36): 0 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (-7.191398511280425e-59): 0 * [misc]none: (-2.3255237224962407e-56): 0 * [misc]none: (1.6780592368033288e-262): 0 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 0 * [misc]none: (1.6828576275377584e-98): 0 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 0 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 0 * [misc]none: (3.0310347416413137e-258): 0 * [misc]none: (-1.1043473204259838e-123): 0 * [misc]none: (-2.06284826271339e+143): 0 * [misc]none: (-7.24722487096989e+250): 0 * [misc]none: (-2.2793842908096357e+72): 0 * [misc]none: (-8.124520965103743e+145): 0 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: 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(-1.105123941463264e-44): 2 * [misc]none: (-1.5442050061781137e-296): 2 * [misc]none: (-2.5125878605191734e-29): 2 * [misc]none: (4.508352673437809e+248): 0 * [misc]none: (-1.4801509312754967e-61): 2 * [misc]none: (-5.163900824605852e+32): 0 * [misc]none: (1.430295312965348e-149): 2 * [misc]none: (3.112001531242655e+80): 0 * [misc]none: (3.0475240801607222e-148): 2 * [misc]none: (-5.232709143225968e-98): 2 * [misc]none: (-2.6904647286120434e+306): 0 * [misc]none: (-2.4014893155423993e+35): 0 * [misc]none: (1.4966275592591335e-123): 2 * [misc]none: (6.384545099874781e-168): 2 * [misc]none: (-1.9863653303691194e-296): 2 * [misc]none: (-1.5110806788081036e+47): 0 * [misc]none: (4.232269734875141e-205): 2 * [misc]none: (4.1020469956028986e+24): 2 * [misc]none: (2.1703230086091624e+277): 0 * [misc]none: (-4.725142043601307e-47): 2 * [misc]none: (2.68866513359689e-174): 2 * [misc]none: (8.96636707501737e-13): 2 * [misc]none: (-2.3580830331388543e-23): 2 * [misc]none: (1.6082525618587168e-259): 2 * [misc]none: (2.7230496615379425e-188): 2 * [misc]none: (7.15832835948139e-179): 2 * [misc]none: (-3.386296042382532e-190): 2 * [misc]none: (2.991170371343952e+151): 0 * [misc]none: (-7.407998779781806e-33): 2 * [misc]none: (-7.014935371531484e-98): 2 * [misc]none: (-2.580522918977788e+184): 0 * [misc]none: (8.990843056511833e-32): 2 * [misc]none: (3.9088008390110404e+59): 0 * [misc]none: (6.754325943853309e-283): 2 * [misc]none: (-1.0323836290065946e-292): 2 * [misc]none: (-1.1379474227414984e+157): 0 * [misc]none: (-4.747329706134133e-300): 2 * [misc]none: (-2.266131068741548e-232): 2 * [misc]none: (6.354961149716869e-97): 2 * [misc]none: (2.8293820765322485e-296): 2 * [misc]none: (5.3887495676776976e+171): 0 * [misc]none: (-503507.16469484643): 0 * [misc]none: (-1.9250288775511552e-19): 2 * [misc]none: (9.871143682146977e-239): 2 * [misc]none: (-1.9809585244792104e-221): 2 * [misc]none: (-5.324127388080003e+141): 0 * [misc]none: (5.123849747663666e+133): 2 * [misc]none: (4.007761912625816e-148): 2 * [misc]none: (3.321054281872602e+251): 0 * [misc]none: (-7.33347091133757e-103): 2 * [misc]none: (-3.967500572333352e+95): 2 * [misc]none: (-8.002576117532625e+293): 0 * [misc]none: (-344.7442723289036): 0 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (-3.8897511496224356e+161): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (-2.9971297913067123e-296): 2 * [misc]none: (1.120554825473697e-298): 2 * [misc]none: (7.175557259725409e-49): 2 * [misc]none: (4.4800031186106794e-70): 2 * [misc]none: (-1.3609788364339258e+82): 2 * [misc]none: (2.5265807746711182e-73): 2 * [misc]none: (1.4440898226736705e-53): 2 * [misc]none: (-4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279): 0 * [misc]none: (2.3912903471184356e-134): 2 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (-2.8955398952451435e+131): 0 * [misc]none: (1.5780761566396397e+125): 2 * [misc]none: (1.534059348183312e-189): 2 * [misc]none: (2.8419420301747055e+90): 2 * [misc]none: (-2.318158899615234e+28): 2 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 2 * [misc]none: (-6.588522440277298e+124): 1 * [misc]none: (-8.890171102288788e+241): 0 * [misc]none: (-4.517606044160453e-29): 2 * [misc]none: (-2.0229301807644786e+90): 2 * [misc]none: (4.588817619865515e-83): 2 * [misc]none: (6.908716276621429e+42): 1 * [misc]none: (1.074034252081928e-96): 2 * [misc]none: (-2.0525626505030474e-205): 2 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (-3.517237475307537e+70): 0 * [misc]none: (1.6570172448601563e-137): 2 * [misc]none: (2.4048926517811354e+66): 2 * [misc]none: (-1.2386076426807104e+281): 0 * [misc]none: (4.0623211606609595e-228): 2 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 0 * [misc]none: (-6.552213310391902e+218): 0 * [misc]none: (-2.461870212435176e+181): 0 * [misc]none: (-9.04145577094214e-51): 2 * [misc]none: (6.730955893129463e-197): 2 * [misc]none: (6.724679859609688e-169): 2 * [misc]none: (1.4230714989143866e-75): 2 * [misc]none: (3.493084834288097e-125): 2 * [misc]none: (-8.87002524437924e-05): 0 * [misc]none: (-9.534297923953677e-238): 2 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (-4.82948997845691e+115): 0 * [misc]none: (-2.844669102107347e+110): 2 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (-6.631482835790804e+75): 0 * [misc]none: (-2.927893218629978e+198): 0 * [misc]none: (-5.425958198218161e-146): 2 * [misc]none: (-5.212281525360505e+119): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (-6.155236203506664e+276): 0 * [misc]none: (3.2574885636926814e-211): 2 * [misc]none: (-9.779940061204298e+60): 1 * [misc]none: (1.3680169753287455e-53): 2 * [misc]none: (-1.5172504298350683e-122): 2 * [misc]none: (2.2957389429922706e-176): 2 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 0 * [misc]none: (-6.206729553564092e+301): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (-8.795577755360774e-193): 2 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (-9.304691570184222e+30): 1 * [misc]none: (1.9963004369674967e-80): 2 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 2 * [misc]none: (1.6707151526371295e-190): 2 * [misc]none: (5.1990169359560766e-256): 2 * [misc]none: (-6.08679419260233e+77): 0 * [misc]none: (-2.864119470500123e-178): 2 * [misc]none: (-4.976800097081315e-07): 0 * [misc]none: (8.044445972631143e-28): 2 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 2 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (-7.146083996729688e+199): 0 * [misc]none: (8.361834195928021e-55): 2 * [misc]none: (7.311006071291519e-101): 2 * [misc]none: (-1.2254396192804965e-192): 2 * [misc]none: (1.782256728493473e+35): 2 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (-1.0237963707243293e+257): 0 * [misc]none: (-2.376464365888854e-78): 2 * [misc]none: (-3.222114505301457e-163): 2 * [misc]none: (-7.76766480776823e+37): 1 * [misc]none: (8.382633428275648e-297): 2 * [misc]none: (-6.191205901832185e+168): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 2 * [misc]none: (2.6679523035634032e-104): 2 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 2 * [misc]none: (-2.318802051809187e-21): 2 * [misc]none: (-2.362056093523898e-236): 2 * [misc]none: (4.384610242475067e+141): 0 * [misc]none: (1.4474621781713568e+65): 1 * [misc]none: (-1.410046620426318e-213): 2 * [misc]none: (-4.423020421030483e+291): 0 * [misc]none: (-3.178469867925502e-246): 2 * [misc]none: (-7.447731371021966e+71): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (-1.6398756117817188e+244): 0 * [misc]none: (-5.198066934157678e+220): 0 * [misc]none: (5.0588074473585105e-110): 2 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 2 * [misc]none: (4.416557773834991e-25): 2 * [misc]none: (-7.605311329977112e+177): 0 * [misc]none: (3.0442880854679596e-31): 2 * [misc]none: (-1.3989503218776358e-06): 0 * [misc]none: (4.664141571059094e-118): 2 * [misc]none: Picked alt (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [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) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 11 / 81 ] 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 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 25 / 81 ] 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 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/2 1/2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/2 1/2) * [exit]simplify: Simplified to (+ 1/2 1/2) * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (atan2 1 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 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: 6 * [misc]none: Fresh alt: (λ (N) (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * [misc]none: Fresh alt: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * [misc]none: Non-fresh alt: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [misc]none: Non-fresh alt: (λ (N) (atan2 1 (fma (+ N 1) N 1))) * [misc]none: Fresh alt: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * [misc]none: Fresh alt: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * [misc]none: Fresh alt indices * [misc]none: (λ (N) (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))): 0 * [misc]none: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))): 1 * [misc]none: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))): 2 * [misc]none: (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1))))))): 3 * [misc]none: Best fresh alt per point * [misc]none: (9.568527921939742e-273): 1 * [misc]none: (2.654414227492494e+20): 1 * [misc]none: (1.7090726067739176e-227): 1 * [misc]none: (7.696162327562603e-152): 1 * [misc]none: (-1.7235772956324157e+44): 3 * [misc]none: (-1.849105607217708e-205): 1 * [misc]none: (5.106850318067203e-223): 1 * [misc]none: (-8.776422694060002e-191): 1 * [misc]none: (-1.0339801069916732e-122): 1 * [misc]none: (1.3381086996667414e-215): 1 * [misc]none: (-1.2294460237484715e+92): 0 * [misc]none: (-9.903617261398821e+48): 0 * [misc]none: (1.0224180420716733e-52): 1 * [misc]none: (-5.2868600650398754e+73): 0 * [misc]none: (9.705038014433044e-175): 1 * [misc]none: (-2.2377664482363495e-145): 1 * [misc]none: (-6.863248801263982e-282): 1 * [misc]none: (6.028770352690154e-151): 1 * [misc]none: (-425.15997261130053): 3 * [misc]none: (-1.4215485644178288e+122): 0 * [misc]none: (6.224141164637054e+75): 0 * [misc]none: (-1.2086624476009651e-200): 1 * [misc]none: (2.3623052767393814e+153): 0 * [misc]none: (4.4633600804799425e+142): 0 * [misc]none: (-1.6813749551547664e-222): 1 * [misc]none: (-4.6390246315423324e+36): 3 * [misc]none: (1.2790861077923577e+68): 0 * [misc]none: (1.0592112097552954e+143): 0 * [misc]none: (-7.191398511280425e-59): 1 * [misc]none: (-2.3255237224962407e-56): 1 * [misc]none: (1.6780592368033288e-262): 1 * [misc]none: (1.5331200777386884e+269): 0 * [misc]none: (2.973444851318118e-169): 1 * [misc]none: (1.6828576275377584e-98): 1 * [misc]none: (4.5525663232975395e+86): 0 * [misc]none: (4.922686678959719e-213): 1 * [misc]none: (9.601043864442096e+176): 0 * [misc]none: (5.752669291865014e-257): 1 * [misc]none: (3.0310347416413137e-258): 1 * [misc]none: (-1.1043473204259838e-123): 1 * [misc]none: (-2.06284826271339e+143): 0 * [misc]none: (-7.24722487096989e+250): 0 * [misc]none: (-2.2793842908096357e+72): 0 * [misc]none: (-8.124520965103743e+145): 0 * [misc]none: (3.727663855470157e+254): 0 * [misc]none: (8.775974517752829e+204): 0 * [misc]none: (-644684.1881687096): 3 * [misc]none: (-5.072621494700167e+267): 0 * [misc]none: (-4.473451124127099e-235): 1 * [misc]none: (1.5758037123807388e+87): 2 * [misc]none: (-3.1154131766396667e+29): 0 * [misc]none: (2.4492953260422185e+131): 1 * [misc]none: (5.835395598392501e+198): 0 * [misc]none: (-1.2951522948212234e+105): 1 * [misc]none: (2.2545095115116114e+189): 0 * [misc]none: (-1.4107789582096962e+111): 0 * [misc]none: (-4.521345173807944e-274): 1 * [misc]none: (2.4757193927168845e-307): 1 * [misc]none: (-3.9546390943242443e-82): 1 * [misc]none: (1.457018723838865e-35): 1 * [misc]none: 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(-7.33347091133757e-103): 1 * [misc]none: (-3.967500572333352e+95): 0 * [misc]none: (-8.002576117532625e+293): 0 * [misc]none: (-344.7442723289036): 2 * [misc]none: (8.452539306620761e+219): 0 * [misc]none: (-3.8897511496224356e+161): 0 * [misc]none: (4.4485313287564445e+252): 0 * [misc]none: (-2.9971297913067123e-296): 1 * [misc]none: (1.120554825473697e-298): 1 * [misc]none: (7.175557259725409e-49): 1 * [misc]none: (4.4800031186106794e-70): 1 * [misc]none: (-1.3609788364339258e+82): 3 * [misc]none: (2.5265807746711182e-73): 1 * [misc]none: (1.4440898226736705e-53): 1 * [misc]none: (-4.651815532356965e+285): 0 * [misc]none: (-1.223165056942955e+279): 0 * [misc]none: (2.3912903471184356e-134): 1 * [misc]none: (3.53511184703484e+158): 0 * [misc]none: (-2.8955398952451435e+131): 0 * [misc]none: (1.5780761566396397e+125): 3 * [misc]none: (1.534059348183312e-189): 1 * [misc]none: (2.8419420301747055e+90): 3 * [misc]none: (-2.318158899615234e+28): 0 * [misc]none: (8.976998414840432e+184): 0 * [misc]none: (3.9122094377392414e+59): 0 * [misc]none: (-6.588522440277298e+124): 1 * [misc]none: (-8.890171102288788e+241): 0 * [misc]none: (-4.517606044160453e-29): 1 * [misc]none: (-2.0229301807644786e+90): 3 * [misc]none: (4.588817619865515e-83): 1 * [misc]none: (6.908716276621429e+42): 3 * [misc]none: (1.074034252081928e-96): 1 * [misc]none: (-2.0525626505030474e-205): 1 * [misc]none: (1.43328810513268e+174): 0 * [misc]none: (-3.517237475307537e+70): 5 * [misc]none: (1.6570172448601563e-137): 1 * [misc]none: (2.4048926517811354e+66): 0 * [misc]none: (-1.2386076426807104e+281): 0 * [misc]none: (4.0623211606609595e-228): 1 * [misc]none: (1.5982222044177176e+181): 0 * [misc]none: (8.398043771606399e+47): 2 * [misc]none: (-6.552213310391902e+218): 0 * [misc]none: (-2.461870212435176e+181): 0 * [misc]none: (-9.04145577094214e-51): 1 * [misc]none: (6.730955893129463e-197): 1 * [misc]none: (6.724679859609688e-169): 1 * [misc]none: (1.4230714989143866e-75): 1 * [misc]none: (3.493084834288097e-125): 1 * [misc]none: (-8.87002524437924e-05): 0 * [misc]none: (-9.534297923953677e-238): 1 * [misc]none: (8.932193317773552e+156): 0 * [misc]none: (-4.82948997845691e+115): 0 * [misc]none: (-2.844669102107347e+110): 3 * [misc]none: (6.614130481633629e+300): 0 * [misc]none: (-6.631482835790804e+75): 0 * [misc]none: (-2.927893218629978e+198): 0 * [misc]none: (-5.425958198218161e-146): 1 * [misc]none: (-5.212281525360505e+119): 0 * [misc]none: (1.3240207557849338e+291): 0 * [misc]none: (-6.155236203506664e+276): 0 * [misc]none: (3.2574885636926814e-211): 1 * [misc]none: (-9.779940061204298e+60): 0 * [misc]none: (1.3680169753287455e-53): 1 * [misc]none: (-1.5172504298350683e-122): 1 * [misc]none: (2.2957389429922706e-176): 1 * [misc]none: (1.3610327499536486e+226): 0 * [misc]none: (4.84788597345363e+32): 0 * [misc]none: (1.0657402022625375e+129): 4 * [misc]none: (-6.206729553564092e+301): 0 * [misc]none: (1.7927880379985524e+252): 0 * [misc]none: (-8.795577755360774e-193): 1 * [misc]none: (1.0006462262322276e+238): 0 * [misc]none: (-9.304691570184222e+30): 3 * [misc]none: (1.9963004369674967e-80): 1 * [misc]none: (1.4604179220567222e+231): 0 * [misc]none: (1.5216315041338872e-218): 1 * [misc]none: (1.6707151526371295e-190): 1 * [misc]none: (5.1990169359560766e-256): 1 * [misc]none: (-6.08679419260233e+77): 0 * [misc]none: (-2.864119470500123e-178): 1 * [misc]none: (-4.976800097081315e-07): 0 * [misc]none: (8.044445972631143e-28): 1 * [misc]none: (2.635030752287841e+186): 0 * [misc]none: (4.12100928340286e-184): 1 * [misc]none: (9.74865050931635e+298): 0 * [misc]none: (-7.146083996729688e+199): 0 * [misc]none: (8.361834195928021e-55): 1 * [misc]none: (7.311006071291519e-101): 1 * [misc]none: (-1.2254396192804965e-192): 1 * [misc]none: (1.782256728493473e+35): 3 * [misc]none: (6.657191501816709e+167): 0 * [misc]none: (-1.0237963707243293e+257): 0 * [misc]none: (-2.376464365888854e-78): 1 * [misc]none: (-3.222114505301457e-163): 1 * [misc]none: (-7.76766480776823e+37): 3 * [misc]none: (8.382633428275648e-297): 1 * [misc]none: (-6.191205901832185e+168): 0 * [misc]none: (2.0703305241322436e+71): 0 * [misc]none: (6.099737398723264e-279): 1 * [misc]none: (2.6679523035634032e-104): 1 * [misc]none: (8.366391802268445e+167): 0 * [misc]none: (2.870509274337958e-101): 1 * [misc]none: (-2.318802051809187e-21): 1 * [misc]none: (-2.362056093523898e-236): 1 * [misc]none: (4.384610242475067e+141): 2 * [misc]none: (1.4474621781713568e+65): 3 * [misc]none: (-1.410046620426318e-213): 1 * [misc]none: (-4.423020421030483e+291): 0 * [misc]none: (-3.178469867925502e-246): 1 * [misc]none: (-7.447731371021966e+71): 0 * [misc]none: (5.154503491655989e+241): 0 * [misc]none: (-1.6398756117817188e+244): 0 * [misc]none: (-5.198066934157678e+220): 0 * [misc]none: (5.0588074473585105e-110): 1 * [misc]none: (3.742291531299835e+250): 0 * [misc]none: (5.013161881068948e+307): 0 * [misc]none: (66089027839097.664): 0 * [misc]none: (1.4351275309127672e-234): 1 * [misc]none: (4.416557773834991e-25): 1 * [misc]none: (-7.605311329977112e+177): 0 * [misc]none: (3.0442880854679596e-31): 1 * [misc]none: (-1.3989503218776358e-06): 0 * [misc]none: (4.664141571059094e-118): 1 * [misc]none: Picked alt (λ (N) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ N 1) N 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ N 1) N 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ N 1) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 N) N 1))) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4)) into (sqrt (atan2 1 (fma (+ 1 N) N 1))) * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (sqrt (atan2 1 (fma (+ 1 N) N 1)))) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) 0) (* 0 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1))))))))) 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 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 N) N 1)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 N) N 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 N) N 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 N) N 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 N) 1) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4)) into (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) into (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) 0) (* 0 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))))))) 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 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (+ 1 (/ 1 N)) (/ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (+ 1 (/ 1 (/ 1 N))) (/ 1 (/ 1 N)) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * [misc]approximate: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (sqrt (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (atan2 1 (fma (+ (/ 1 (- N)) 1) (/ 1 (- N)) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4)) into (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) * [misc]backup-simplify: Simplify (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) into (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (* 0 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))))))) 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 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)) 1/4)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 1 (fma (- 1 (/ 1 N)) (/ -1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 1 (fma (- 1 (/ 1 (/ 1 (- N)))) (/ -1 (/ 1 (- N))) 1)) into (atan2 1 (fma (+ 1 N) N 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 11 / 80 ] 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 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 25 / 80 ] 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 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (exp (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (23 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [enter]simplify: Simplifying (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (fabs (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 39 / 80 ] 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 (fma (+ N 1) N 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (expm1 (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log1p (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (+ 1/2 1/2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (+ 1 (+ 1/2 1/2)) * [exit]simplify: Simplified to (+ 1 (+ 1/2 1/2)) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (fma (+ N 1) N 1)) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (+ (log (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (log (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (+ (log (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (log (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (+ (+ (log (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (log (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (+ (log (sqrt (atan2 1 (fma (+ N 1) N 1)))) (log (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (log (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (exp (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (* (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (208 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (* (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (cbrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (atan2 1 (fma (+ N 1) N 1)))) * [enter]simplify: Simplifying (cbrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (cbrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * [exit]simplify: Simplified to (pow (atan2 1 (fma (+ N 1) N 1)) 3) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan2 1 (fma (+ N 1) N 1)) (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (* (atan2 1 (fma (+ N 1) N 1)) (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [enter]simplify: Simplifying (sqrt (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * [exit]simplify: Simplified to (sqrt (atan2 1 (fma (+ N 1) N 1))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (cbrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * [exit]simplify: Simplified to (* (sqrt (cbrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (atan2 1 (fma (+ N 1) N 1)))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * [exit]simplify: Simplified to (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ 1 N) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (atan2 1 (fma (+ 1 N) N 1))) (* (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan2 1 (fma (+ 1 N) N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (atan2 1 (fma (+ N 1) N 1)) * * * [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 (* (* (sqrt (atan2 1 (fma (+ N 1) N 1))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) (sqrt (sqrt (atan2 1 (fma (+ N 1) N 1))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (+ N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8000 points with exact outputs